Question

Solve the following equation using any method of your choosing: x² +x = 6

Answer 1

x=-3 x=2

Explanation:

x² +x = 6

Subtract 6 from each side

x² +x -6= 6-6

x² +x - 6=0

Factor

What 2 numbers will multiply to -6 and add to 1

3 *-2 = -6

3+-2 = 1

(x+3) (x-2) =0

Using the zero product property

x+3 =0 x-2=0

x=-3 x=2