What are the solutions of x ^ 2 + 6x - 6 = 10? x = - 11 x = 1 x = - 11 x = - 1 x = - 8x = - 2 x = - 8x = 2

x=-8,2

Step-by-step explanation:

x ^ 2 + 6x - 6 = 10

Add 6 to each side

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

x ^ 2 + 6x = 16

Complete the square take the coefficient of the x terms, divide by 2 and square it. Then add it to each side

6/2 = 3, 3^2 = 9

x ^ 2 + 6x + 9 = 16+9

(x+3) ^2 = 25

Take the square root of each side

sqrt ((x+3) ^2) = ±sqrt (25)

x+3 = ±5

Make 2 equations

x+3 = 5 x+3 = - 5

Subtract 3 from each side

x+3-3 = 5-3 x+3-3 = - 5-3

x = 2 x=-8