Question

x^2 - 6x = 8 complete the square

Answer 1

To complete the square, add 9 to both sides
x^2 - 6x + 9 = 8 + 9
it can be written as
(x)^2 - 2(x)(3) + (3)^2 = 17
LHS becomes the complete square of (x - 3)^2
so (x - 3)^2 = 17
taking root of both sides
x - 3 = ± root(17)
x = 3 ± root (17)