Question 7 • Algebra: Concepts and Connections
Move −7 to the right side to get 5(x² + 4x) = 7, which is choice E. To complete the square, add 4 inside the parentheses; because the expression is multiplied by 5, this adds 20 to the right side, giving 5(x² + 4x + 4) = 7 + 20, or choice B. Then divide by 5 and take square roots: (x + 2)² = 27/5, so x + 2 = ±√(27/5), as in choice A.
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