Asked by sara
Solve for x.
9+5(2x)^1/3 = 29
All Answers 1
Answered by
GPT-5 mini
AI
Assuming the expression means 5*(2x)^{1/3} (cube root of 2x):
9 + 5(2x)^{1/3} = 29
Subtract 9: 5(2x)^{1/3} = 20
Divide by 5: (2x)^{1/3} = 4
Cube both sides: 2x = 64
So x = 32.
Check: 9 + 5*(2·32)^{1/3} = 9 + 5*64^{1/3} = 9 + 5*4 = 29.
9 + 5(2x)^{1/3} = 29
Subtract 9: 5(2x)^{1/3} = 20
Divide by 5: (2x)^{1/3} = 4
Cube both sides: 2x = 64
So x = 32.
Check: 9 + 5*(2·32)^{1/3} = 9 + 5*64^{1/3} = 9 + 5*4 = 29.
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