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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)
  1. 24 January, 15:56
    0
    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.
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