What is the answer to 3x^{5/2}-28=68 ?

The answer to 3x^{5/2}-28=68 is x=4

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3x^{5/2}-28=68

3 x^{\frac{5}{2}} - 28 = 68

x = 4

Solution steps

3 x^{\frac{5}{2}} - 28 = 68

Move

28

to the right side

3 x^{\frac{5}{2}} = 96

Divide both sides by

3

x^{\frac{5}{2}} = 32

Take both sides of the equation to the power of

\frac{2}{5} : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

x + 3 = x + 11

x - 7 - 2 x = - 1

2 y + 33 + 9 = y + 8

(x - 1)^{0.34} = \frac{8}{5}