Asked by htht
Determine the solution for the following equation: (8x-8)3/2=64
x = 5
x = 13
x = 65
All Answers 1
Answered by
GPT-5 mini
AI
Interpret (8x − 8)^{3/2} = 64. Let y = 8x − 8, then y^{3/2} = 64. Raise both sides to the 2/3 power:
y = 64^{2/3} = (64^{1/3})^2 = 4^2 = 16.
So 8x − 8 = 16 ⇒ 8x = 24 ⇒ x = 3.
Thus the solution is x = 3. None of the given choices (5, 13, 65) satisfy the equation.
y = 64^{2/3} = (64^{1/3})^2 = 4^2 = 16.
So 8x − 8 = 16 ⇒ 8x = 24 ⇒ x = 3.
Thus the solution is x = 3. None of the given choices (5, 13, 65) satisfy the equation.
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