Question

Use completing the square to solve the equation x^2 - 10x = -8.

Which equation is used in the process?

a. x^2 - 10x + 25 = 17
b. x^2 - 10x + 25 = -8
c. x^2 - 10x - 25 = -33

Answer 1

take 1/2 of the linear coefient and square it
add that to both sides

-10 is the linear coefient
1/2 of it is -5
squared it is 25
add 25 to both sides

x^2-10x+25=-8+25
x^2-10x+25=17
factor perfect square
(x-5)^2=17


answer is A