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 or x = 2

Explanation:

Given

x² + 6x - 6 = 10 ( subtract 10 from both sides )

x² + 6x - 16 = 0

Consider the factors of the constant term (- 16) which sum to give the coefficient of the x- term (+ 6)

The factors are + 8 and - 2, since

8 × - 2 = - 16 and 8 - 2 = + 6, thus

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

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 2 = 0 ⇒ x = 2

Solutions are x = - 8 or x = 2 ← the last option

Answer 2

the answer is X=-8 or X= 2

Explanation:

subtract 10 from both sides in order to eliminate 10.

x^2 + 6x -16

find two factors of -16 that sum up to 6.

-2 and 8 are two factors of -16 that sum up to 6.

(x-2)(x+8)

x-2= 0, x= 2

x+8= 0, x = -8