Choose the most appropriate strategy and then use it to solve the quadratic equation.

7. (x-8) ^2=121

8. 2a^2=8a-6

9. x^2+12x+36=4

10. x^2-x+30=0

(x-8) ^ 2 = 121

(x-8) = + / - root (121)

x = 8 + / - root (121)

The solutions are:

x1 = 8 + root (121)

x2 = 8 - root (121)

2a ^ 2 = 8a-6

2a ^ 2-8a + 6 = 0

a ^ 2-4a + 3 = 0

(a-1) (a-3) = 0

The solutions are:

a1 = 1

a2 = 3

x ^ 2 + 12x + 36 = 4

x ^ 2 + 12x + 36-4 = 0

x ^ 2 + 12x + 32 = 0

(x + 4) (x + 8) = 0

The solutions are:

x1 = - 8

x2 = - 4

x ^ 2-x + 30 = 0

x = ( - b + / - root (b ^ 2 - 4 * a * c)) / 2 * a

x = ( - ( - 1) + / - root (( - 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)

x = (1 + / - root (1 - 120))) / 2

x = (1 + / - root (-119))) / 2

x = (1 + / - root (119) * i)) / 2

The solutions are:

x1 = (1 + root (119) * i)) / 2

x2 = (1 - root (119) * i)) / 2