Question

The first few steps in solving the quadratic equation 8x2 80x = −5 by completing the square are shown. 8x2 80x = −5 8(x2 10x) = −5 8(x2 10x 25) = −5 ______ which number is missing in the last step? −200 −25 25 200

Answer 1

The number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

What is a factorization?

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The quadratic equation is 8x² + 80x = −5

On adding and subtracting 200 on both sides, we have

8x² + 80x + 200 = −5 + 200

8 (x² + 10x + 25) = −5 + 200

Thus, the number is missing in the last step in the quadratic equation is 200. Then the correct option is D.

More about the factorization link is given below.

https://brainly.com/question/6810544