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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

Verified Answer :

RIPORINO

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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