Question

What are the solutions of

x2 +6x-6 = 10?

X=-11 or x=1
X=-11 or x=-1
X=-8 or X=-2
X=-8 or X= 2

Answer 1

x=-8 x=2

Explanation:

x^2 +6x-6 = 10

Subtract 10 from each side

x^2 +6x-6-10 = 10-10

x^2 +6x-16 = 0

Factor

What 2 numbers multiply to -16 and add to +6

8*-2 = 16

8-2 =6

(x+8) (x-2) =0

Using the zero product property

x+8 = 0 x-2 =0

x=-8 x=2