What is the answer to (2x-4)^{3/2}-9=503 ?

The answer to (2x-4)^{3/2}-9=503 is x=34

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(2x-4)^{3/2}-9=503

(2 x - 4)^{\frac{3}{2}} - 9 = 503

x = 34

Solution steps

(2 x - 4)^{\frac{3}{2}} - 9 = 503

Move

9

to the right side

(2 x - 4)^{\frac{3}{2}} = 512

Take both sides of the equation to the power of

2 : (2 x - 4)^{3} = 262144

(2 x - 4)^{3} = 262144

Solve

(2 x - 4)^{3} = 262144 : x = 34

x = 34

Verify Solutions:

x = 34

True

The solution is

x = 34

2 x + x + 4 = 13

x = 1 + x

2 + x - 4 + 10 - 3 x = 0

(x + 1)^{\frac{4}{3}} = 16

What is the answer to (2x-4)^{3/2}-9=503 ?
The answer to (2x-4)^{3/2}-9=503 is x=34
Solve for x: (2x-4)^{3/2}-9=503
The solution is x=34