Question

What equation results from completing the square and then factoring? x^2-8x=39

Answer 1

Answer: (x-4)²=55

Step-by-step explanation:

This is apex answer

Answer 2

We have that
x²-8x=39

Group terms that contain the same variable

(x²-8x)=39

Complete the square. Remember to balance the equation by adding the same constants to each side

(x²-8x+16)=39+16

Rewrite as perfect squares

(x-4)²=55-------> (x-4)²-55=0

(+/-)]x-4]=√55

(+)]x-4]=√55--------> x=4+√55

(-)]x-4]=√55-------> x=4-√55

the answer is

 (x-4)²-55=0