What is the answer to (x-5)^{3/4}-8=0 ?

The answer to (x-5)^{3/4}-8=0 is x=21

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(x-5)^{3/4}-8=0

(x - 5)^{\frac{3}{4}} - 8 = 0

x = 21

Solution steps

(x - 5)^{\frac{3}{4}} - 8 = 0

Move

8

to the right side

(x - 5)^{\frac{3}{4}} = 8

Take both sides of the equation to the power of

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

(x - 5)^{3} = 4096

Solve

(x - 5)^{3} = 4096 : x = 21

x = 21

Verify Solutions:

x = 21

True

The solution is

x = 21

4 = x^{2}

x = - 1 - 2 x

x, f x = 4 x - 2

n (x) = - 4 - x

(4 x + 5)^{\frac{1}{2}} = x - 4