Choose an equation that would be used to solve 0 = - x2 + 10x - 8 (x + 25) 2 = - 8 (x - 5) 2 = 17 (x - 10) 2 = 25

Completing the square the equation that would be used to solve 0=-x^2+10x-8 is (x-5) ^2=17 (Second option).

Step-by-step explanation:

0=-x^2+10x-8

Moving the terms with the variable x to the left side of the equation:

0+x^2-10x=-x^2+10x-8+x^2+10x

x^2-10x=-8

Adding both sides of the equation the square of the half of the coefficient of "x" to complete the square on the left side of the equation:

x^2-10x + (10/2) ^2=-8 + (10/2) ^2

x^2-10x + (5) ^2=-8 + (5) ^2

x^2-10x+25=-8+25

x^2-10x+25=17 (1)

Using that (x-a) ^2=x^2-2ax+a^2 with

2a=10→2a/2=10/2→a=5

or a^2=25→sqrt (a^2) = sqrt (25) →a=5

x^2-10x+25 = (x-5) ^2

Then replacing x^2-10x+25 by (x-5) ^2 in the equation (1)

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