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QuizMultiple Choice

Solving Quadratic Equations: Completing the Square (Continued)

Question 1 • Common Core Algebra I 2014 - MA3109 B-CR

The first few steps in solving the quadratic equation 8x2 + 80x = −5 by completing the square are shown.8x2 + 80x = −58(x2 + 10x) = −58(x2 + 10x + 25) = −5 + ______

Answer
A
−200
B
−25
C
25
D
200

Explanation

To complete the square inside the parentheses, add (10 ÷ 2)² = 25. Since the parentheses are multiplied by 8, this adds 8 × 25 = 200 to the left side, so 200 must also be added to the right side. The blank is 200, choice D.

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