The student who made mistake is Max;he should have subtracted both sides by 9 in the first step.
Equation
AJ:
(x + 5)² + 9 = 25
(x + 5)² = 25 - 9
(x + 5)² = 16
√(x + 5)² = √16
x + 5 = ±16
x + 5 = ±4
x + 5 = 4 or x + 5 = -4
x = 4 -5 or -4 -5
x = -1 or -9
Max's work:
(x + 5)² + 9 = 25
x + 5 + 3 = ± 5
Therefore, the student who made mistake is Max;he should have subtracted both sides by 9 in the first step.
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