Solve the equation by completing the square.

Question

x^2-12x+35=0

Answer 1

x^2-12x+35=0
x^2 - 12x = -35
x^2 - 12x + 36 = 36 - 35
(x - 6)^2 = 1
x - 6 = ± 1

x = 1+6 = 7
or
x = -1+6 = 5

Answer 2

adding 1 ... x^2 - 12 x + 36 = 1

taking √ ... x - 6 = ± 1

x = 7 , x = 5