What is the answer to (5x-4)^{3/2}-5=59 ?

The answer to (5x-4)^{3/2}-5=59 is x=4

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(5x-4)^{3/2}-5=59

(5 x - 4)^{\frac{3}{2}} - 5 = 59

x = 4

Solution steps

(5 x - 4)^{\frac{3}{2}} - 5 = 59

Move

5

to the right side

(5 x - 4)^{\frac{3}{2}} = 64

Take both sides of the equation to the power of

2 : (5 x - 4)^{3} = 4096

(5 x - 4)^{3} = 4096

Solve

(5 x - 4)^{3} = 4096 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

x^{\frac{3}{2}} - 8 = 0

3 x = x

- 2 x + 3 = 6 - 3 x

2 x + 6 = 4

What is the answer to (5x-4)^{3/2}-5=59 ?
The answer to (5x-4)^{3/2}-5=59 is x=4
Solve for x: (5x-4)^{3/2}-5=59
The solution is x=4