What are the solutions of the quadratic equation 0 = 4(x − 3)2 − 16?
Answer
A
2 and −2.5
B
2 and 2.5
C
1 and −5
D
1 and 5
Explanation
Add 16 to both sides and divide by 4: (x − 3)² = 4. Taking square roots gives x − 3 = 2 or x − 3 = −2, so x = 5 or x = 1. The solutions are 1 and 5, which is choice D.
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