Question

What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation? x^2+28x+64=8x

Answer 1

(x+10)²=36

Explanation:

x²+28x+64=8x

x²+28x-8x+64=0

x²+20x+64=0

(x+a)²=x²+2*a*x+a²

x²+2*10*x+64=0 //a=10

x²+2*10*x+10²+64=10² // Add 10² to both side

(x+10)²+64=100 //x²+2*10*x+10²=(x+10)²

(x+10)²=100-64

(x+10)²=36