The equation [[$ x ^ 2 + ax + b = 0 $]] has two solutions: [[$ 3 $]] and [[$ -4 $]]. Determine [[$ a $]] and [[$ b $]]. (Source: Entrance exam for engineer training, spring 1995)

Take a picture of your solution and return it to the submission folder.

Answer: [[$ a = $]] and [[$ b = $]]