What is the answer to (3x-5)^{3/2}-4=121 ?

The answer to (3x-5)^{3/2}-4=121 is x=10

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(3x-5)^{3/2}-4=121

(3 x - 5)^{\frac{3}{2}} - 4 = 121

x = 10

Solution steps

(3 x - 5)^{\frac{3}{2}} - 4 = 121

Move

4

to the right side

(3 x - 5)^{\frac{3}{2}} = 125

Take both sides of the equation to the power of

2 : (3 x - 5)^{3} = 15625

(3 x - 5)^{3} = 15625

Solve

(3 x - 5)^{3} = 15625 : x = 10

x = 10

Verify Solutions:

x = 10

True

The solution is

x = 10

2 = 3 b - 2 - 10 - b

x + 2 + 1 = 3 - x

x - 3 = x - 1

2 - x = x

2 + 4 x = 16 x + 5

What is the answer to (3x-5)^{3/2}-4=121 ?
The answer to (3x-5)^{3/2}-4=121 is x=10
Solve for x: (3x-5)^{3/2}-4=121
The solution is x=10