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QuizMultiple Choice

Solving Quadratic Equations: Square Root Property

Question 2 • FL-1200700-Mathematics for College Algebra MIS

Theo started to solve the quadratic equation (x + 2)2 – 9 = –5. He added 9 to both sides and the resulting equation was(x + 2)2 = 4. Next, he took the square root of each side.Which was the resulting equation of that step?

Answer
A
x + 2 = ±4
B
x + 2 = ±2
C
x + 2 = ±8
D
x + 2 = ±16

Explanation

Taking the square root of both sides of (x + 2)² = 4 gives x + 2 = ±√4. Since √4 = 2, the resulting equation is x + 2 = ±2. The ± accounts for both numbers whose square is 4: 2 and −2.

AI-written and checked against the verified answer.

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