The first three steps for solving the quadratic equation 8x^2+80x=-5 by completing the square are shown. Fill in the missing number in the last step

8x^2+80x=-5

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

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

A) - 200

B) - 25

C) 25

D) 200

Question

Antoine Hill

Mathematics

24 January, 15:37

The first three steps for solving the quadratic equation 8x^2+80x=-5 by completing the square are shown. Fill in the missing number in the last step

8x^2+80x=-5

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

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

A) - 200

B) - 25

C) 25

D) 200

+3

Answers (1)

Know the Answer?

Konnor Sanders · Answer 1

D) 200. Step 3 added 25 within the parentheses, and everything inside the parentheses is multiplied by 8. So, to keep the equation true, or balanced, you must add the same amount, 8 * 25, to the other side.

The first three steps for solving the quadratic equation 8x^2+80x=-5 by completing the square are shown. Fill in the missing number in the last step8x^2+80x=-58 (x^2+10x) = - 58 (x^2+10x+25) = - 5 + ?A) - 200B) - 25C) 25D) 200

The first three steps for solving the quadratic equation 8x^2+80x=-5 by completing the square are shown. Fill in the missing number in the last step

8x^2+80x=-5

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

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

A) - 200

B) - 25

C) 25

D) 200