Question

If John solved the equation x? - 10x + 8 = 0 by completing the

square, one of the steps in his process would be
(1) (x-5)^2 = -8
(2) (x-5)^2 = 17
(3) (x+ 4)^2 = 10x
(4) (x + 4)^2 = 10x + 16

Answer 1

`(x - 5)^(2) =17`

Explanation:

`x^(2) -10x = -8 \ add \ and \ subtract \ 25;\\x^2-10x+25-25= -8\\(x-5)^2 - 25 = -8\\(x-5)^2 = 17\\x-5=+\ √(17) \\\x_(1,) _(2) =5+√(17)`