https://peda.net/id/0c518b9471e 2025-08-05T13:50:46+03:00 https://peda.net/:static/533/peda.net.logo.bg.svg <div class="license">Tämän sivun lisenssi <a rel="license" href="https://peda.net/info">Peda.net-yleislisenssi</a></div> https://peda.net/id/0c52009371e 2017-11-10T12:14:50+02:00 <b><span class="editor underline">Teorian tehtävät<br/> </span><br/> T6-13</b><em> Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-6/kis%C3%A4lli-t6-13-ggb#top" class="service">Kisälli T6-13.ggb</a>​<br/> </em><b><br/> <span class="editor underline">Tehtäväsarja 1<br/> </span><br/> T6-22 </b><em>​Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-6/kis%C3%A4lli-t6-22-ggb#top" class="service">Kisälli T6-22.ggb</a>​</em><b><br/> <br/> T6-25 </b><em>​Malliratkaisu:<span> <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-6/kis%C3%A4lli-t6-25-ggb#top" class="service">Kisälli T6-25.ggb</a>​<br/> </span></em><b>T6-26 </b><em>Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-6/kis%C3%A4lli-t6-26-ggb#top" class="service">Kisälli T6-26.ggb</a>​<br/> </em><b><br/> <span class="editor underline">Tehtäväsarja 2<br/> </span><br/> T6-37 </b><em>​Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-6/kis%C3%A4lli_t6-37-ggb#top" class="service">Kisälli_T6-37.ggb</a>​</em><br/> Käsin laskettuna K2006/T10: <a href="http://jberg.fi/shared/matikanope/matikan_yo/k06pratk.pdf" rel="nofollow ugc noopener">http://jberg.fi/shared/matikanope/matikan_yo/k06pratk.pdf<br/> </a><br/> <b>T6-38 </b><em>Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-6/kis%C3%A4lli_t6-38-ggb#top" class="service">Kisälli_T6-38.ggb</a>​<br/> </em>Tai käsin, S2005/7: <a href="http://jberg.fi/shared/matikanope/matikan_yo/s05pratk.pdf" rel="nofollow ugc noopener">http://jberg.fi/shared/matikanope/matikan_yo/s05pratk.pdf</a> 2025-08-05T13:50:46+03:00 https://peda.net/id/0c563ced71e 2017-11-09T14:49:17+02:00 <b>5.23 </b><em>Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/l5k/kis%C3%A4lli-t5-23-ggb3#top" class="service">Kisälli T5-23.ggb</a>​</em><br/> <br/> <b>5.31</b> <em>Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-5-muita/kis%C3%A4lli-t5-31-ggb#top" class="service">Kisälli T5-31.ggb</a>​</em><br/> <br/> <b>5.44</b> Malliratkaisu: <a href="https://peda.net/p/Kahkonen/o/maa/maa06-k%C3%A4hk%C3%B6nen/malliratkaisuja2/luku-5-muita/kis%C3%A4lli-5-44-ggb#top" class="service">Kisälli 5-44.ggb</a>​<br/> <br/> 2025-08-05T13:50:46+03:00 https://peda.net/id/0c57ae0a71e 2017-11-09T14:23:38+02:00 <b>5.3<br/> </b><b><b></b></b> <div> <div>c ja d)<br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20-5%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%200%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%203" alt="\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -5\ \ \ \ \ \ \ 0\ \ \ \ \ \ \ 3"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%5C%20%5C%20%5C%20-%5C%20%5C%200%5C%20%5C%20%2B%5C%200%5C%20-%5C%200%5C%20%5C%20%5C%20%2B" alt="f'\left(x\right)\ \ \ -\ \ 0\ \ +\ 0\ -\ 0\ \ \ +"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%5C%20%5C%20%5C%20%5C%20%5C%20%5Csetminus%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Csetminus%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F" alt="f\left(x\right)\ \ \ \ \ \setminus\ \ \ \ \ \ \ /\ \ \ \ \ \ \ \setminus\ \ \ \ \ \ \ /"/><br/> <br/> </div> </div> </div> <div>Funktio on aidosti kasvava väleillä [[$ [-5, 0] $]] ja [[$ [3, \infty[ $]]<br/> ja aidosti vähenevä <span>väleillä [[$ ]-\infty, -5] $]] ja [[$ [0, 3] $]].</span></div> <br/> e) Pienin arvo löytyy kohdasta x = -5 tai x = 3<br/> <br/> <b>5.4<br/> </b> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Cfrac%7B1%7D%7B4%7D%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Cfrac%7B5%7D%7B6%7D%5C%20" alt="\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{1}{4}\ \ \ \ \ \ \ \frac{5}{6}\ "/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%5C%20%5C%20%5C%20%2B%5C%20%5C%200%5C%20%5C%20-%5C%200%5C%20%5C%20%5C%20%2B" alt="f'\left(x\right)\ \ \ +\ \ 0\ \ -\ 0\ \ \ +"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%5C%20%5C%20%5C%20%5C%20%5C%20%2F%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Csetminus%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F" alt="f\left(x\right)\ \ \ \ \ /\ \ \ \ \ \ \ \ \ \setminus\ \ \ \ \ \ \ /"/></div> </div> <div><br/> <b>5.8 cd</b><br/> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20-3%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%200%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%204%5C%20" alt="\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -3\ \ \ \ \ \ \ 0\ \ \ \ \ \ \ 4\ "/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%5C%20%5C%20%5C%20%2B%5C%20%5C%200%5C%20%5C%20-%5C%200%5C%20%5C%20-%5C%200%5C%20%5C%20%5C%20%2B" alt="f'\left(x\right)\ \ \ +\ \ 0\ \ -\ 0\ \ -\ 0\ \ \ +"/></div> <img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Csetminus%5C%20%5C%20%5C%20%5C%20%5C%20%5Csetminus%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F" alt="f\left(x\right)\ \ \ \ \ \ /\ \ \ \ \ \ \ \ \ \setminus\ \ \ \ \ \setminus\ \ \ \ \ \ /"/><br/> <br/> <br/> <b>5.9<br/> </b>c)<br/> f(-6) = -71<br/> f(-2) = 67/3 ~22,33...<br/> f(7) = -595/6 ~ -99,17...<br/> f(12) = 55<br/> <br/> (kulkukaaviota ei tarvita, mutta tällainen olisi)<b> <br/> </b> <div> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20-6%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20-2%5C%20%5C%20%5C%20%5C%20%5C%20%5C%207%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%2012" alt="\ \ \ \ \ \ \ \ \ \ -6\ \ \ \ \ \ \ -2\ \ \ \ \ \ 7\ \ \ \ \ \ \ \ 12"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%27%5Cleft(x%5Cright)%5C%20%5Cleft%7C%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2B%5C%20%5C%200%5C%20%5C%20-%5C%200%5C%20%5C%20%5C%20%2B%5C%20%5C%20%5C%20%5Cright%7C" alt="f'\left(x\right)\ \left|\ \ \ \ \ \ +\ \ 0\ \ -\ 0\ \ \ +\ \ \ \right|"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=f%5Cleft(x%5Cright)%5C%20%5C%20%5Cleft%7C%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Csetminus%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Cright%7C" alt="f\left(x\right)\ \ \left|\ \ \ \ \ \ /\ \ \ \ \ \ \ \ \ \setminus\ \ \ \ \ \ \ /\ \ \ \ \ \ \ \right|"/><br/> <br/> <br/> </div> </div> </div> <div><b>5.11<br/> </b>[[$ V'(x) = 0,4 x^2 + 4,7 $]]<br/> <br/> <div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20-22%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%2011.75%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%2035" alt="\ \ \ \ \ \ \ \ -22\ \ \ \ \ \ \ \ \ \ \ 11.75\ \ \ \ \ \ \ \ \ 35"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V%27%5Cleft(x%5Cright)%5C%20%5C%20%5C%20%5Cleft%7C%5C%20%5C%20%5C%20%5C%20%2B%5C%20%5C%20%5C%20%5C%20%5C%20%5C%200%5C%20%5C%20%5C%20%5C%20%5C%20-%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Cright%7C" alt="V'\left(x\right)\ \ \ \left|\ \ \ \ +\ \ \ \ \ \ 0\ \ \ \ \ -\ \ \ \ \ \ \right|"/></div> <div><img src="https://math-demo.abitti.fi/math.svg?latex=V%5Cleft(x%5Cright)%5C%20%5C%20%5C%20%5C%20%5Cleft%7C%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%2F%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Csetminus%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Cright%7C" alt="V\left(x\right)\ \ \ \ \left|\ \ \ \ \ \ /\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \setminus\ \ \ \ \ \ \right|"/><br/> <br/> <br/> </div> </div> </div> </div> </div> 2025-08-05T13:50:46+03:00 https://peda.net/id/0c59a14671e 2017-10-31T15:39:02+02:00 <p><span class="editor underline"><a href="http://kisallioppiminen.fi/kurssit/maa6/luku3/#MAA6s2t304" rel="nofollow ugc noopener">3.27</a></span><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?%5Cfrac%7Bx%7D%7Bx-1%7D%20%3D%20%5Cfrac%7Bx&amp;plus;a%7D%7Bx&amp;plus;1%7D%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20x%5Cneq%20%5Cpm%201%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20%7C%7C%20%5C%2C%5Ctext%7Brk%7D" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?x%28x&amp;plus;1%29%20%3D%20%28x&amp;plus;a%29%28x-1%29" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?x%5E2&amp;plus;x%20%3D%20x%5E2%20&amp;plus;ax%20-x%20-a" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?x%20%3D%20%28a-1%29x%20-%20a%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20%7C%7C%20-x%2C%20&amp;plus;a" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?a%20%3D%20%28a-1%29x%20-x" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?a%20%3D%20%28a-2%29x" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?x%20%3D%20%5Cfrac%7Ba%7D%7Ba-2%7D%20%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%5C%2C%20%7C%7C%20%5C%2C%5C%2C%20%28a-2%29%20%5Cneq%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> Nyt siis <img src="http://latex.codecogs.com/gif.latex?a-%202%20%5Cneq%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> eli <img src="http://latex.codecogs.com/gif.latex?a%20%5Cneq%202" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> <br/> <br/> Lisäksi määrittelyehdon mukaan <img src="http://latex.codecogs.com/gif.latex?x%20%5Cneq%20%5Cpm%201" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> eli</p> <p><img src="http://latex.codecogs.com/gif.latex?%5Cfrac%7Ba%7D%7Ba-2%7D%20%5Cneq%201" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> tai <img src="http://latex.codecogs.com/gif.latex?%5Cfrac%7Ba%7D%7Ba-2%7D%20%5Cneq%20-1" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="http://latex.codecogs.com/gif.latex?a%20%5Cneq%20a-2" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> tai <img src="http://latex.codecogs.com/gif.latex?a%20%5Cneq%20-a&amp;plus;2" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="http://latex.codecogs.com/gif.latex?0%20%5Cneq%20-2" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> tai <img src="http://latex.codecogs.com/gif.latex?2a%20%5Cneq%202" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p>Aina tosi tai <img src="http://latex.codecogs.com/gif.latex?a%20%5Cneq%201" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> <br/> <br/> <span class="editor underline">Siis: jos a = 1 tai a = 2, yhtälöllä ei ole ratkaisua.</span><br/> <br/> </p> 2025-08-05T13:50:46+03:00 https://peda.net/id/0c5a20e571e 2017-11-07T19:42:37+02:00 <p><span class="editor underline"><a href="http://kisallioppiminen.fi/kurssit/maa6/luku3/#t323" rel="nofollow ugc noopener">3.23</a></span><br/> <br/> <img src="https://latex.codecogs.com/gif.latex?%5Cfrac%7B%20x-5%20%7D%7B%20x%20&amp;plus;%203%20%7D%20%5Cge%202" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="https://latex.codecogs.com/gif.latex?%5Cfrac%7B%20x-5%20%7D%7B%20x%20&amp;plus;%203%20%7D%20-2%20%5Cge%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--> Merkitään <img src="https://latex.codecogs.com/gif.latex?f%28x%29%3D%5Cfrac%7Bx-5%7D%7Bx&amp;plus;3%7D-2" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="https://latex.codecogs.com/gif.latex?%5Cfrac%7B%20x-5%20%7D%7B%20x%20&amp;plus;%203%20%7D%20-%20%5Cfrac%7B%202%28x%20&amp;plus;%203%29%20%7D%7B%20x%20&amp;plus;%203%20%7D%20%5Cge%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="https://latex.codecogs.com/gif.latex?%5Cfrac%7B%20%28x-5%29-%202%28x%20&amp;plus;%203%29%20%7D%7B%20x%20&amp;plus;%203%20%7D%20%5Cge%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p>Ratkaistaan nollakohdat<br/> <img src="https://latex.codecogs.com/gif.latex?%5Cfrac%7B%20%28x-5%29-%202%28x%20&amp;plus;%203%29%20%7D%7B%20x%20&amp;plus;%203%20%7D%20%3D%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="https://latex.codecogs.com/gif.latex?%28x-5%29-%202%28x%20&amp;plus;%203%29%20%3D%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="https://latex.codecogs.com/gif.latex?x-5-%202x%20-%206%20%3D%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="https://latex.codecogs.com/gif.latex?-x%20-%2011%20%3D%200" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--></p> <p><img src="https://latex.codecogs.com/gif.latex?x%3D-11" title="This is the rendered form of the equation. You can not edit this directly. Right click will give you the option to save the image, and in most browsers you can drag the image onto your desktop or another program."/><!--filtered attribute: id="equationview"--><!--filtered attribute: name="equationview"--><br/> <br/> Merkkikaavio<br/> </p><pre><!-- removed: br --> -11 <br/> <!-- removed: br -->f(x) - | +<!-- removed: br --></pre><span>​</span><span>​</span><br/> <br/> <br/> <p></p> 2025-08-05T13:50:46+03:00 https://peda.net/id/0c5a9c1071e 2017-09-26T22:08:57+03:00 Tehtävä 3.1<br/> [[$$ \frac{18x+30}{12x}=\frac{6\left(3x+5\right)}{6\cdot 2x}=\frac{3x+5}{2x} $$]]<br/> <br/> <span>Tehtävä 3.2</span><br/> <span>[[$$ \frac{4x-7x^2}{9x}=\frac{x\left(4-7x\right)}{9x}=\frac{4-7x}{9} $$]]<br/> </span><br/> <span>Tehtävä 3.3</span><br/> <span>[[$$ \frac{4x+2}{14x+7}=\frac{2\left(2x+1\right)}{7\left(2x+1\right)}=\frac{2}{7} $$]]<br/> <br/> </span> 2025-08-05T13:50:46+03:00