Answer:
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
