Question

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

Answer 1

x=-8 ,2

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