What is the answer to 2x^{3/2}=54 ?

The answer to 2x^{3/2}=54 is x=9

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2x^{3/2}=54

2 x^{\frac{3}{2}} = 54

x = 9

Solution steps

2 x^{\frac{3}{2}} = 54

Divide both sides by

2

x^{\frac{3}{2}} = 27

Take both sides of the equation to the power of

2 : x^{3} = 729

x^{3} = 729

Solve

x^{3} = 729 : x = 9

x = 9

Verify Solutions:

x = 9

True

The solution is

x = 9

10 - x = x - 4

x, x^{\frac{3}{4}} = 8

20 = x - 5

5 3 x + 4 + 1 = 21

4 a^{2} - 4 a + 1 + (a + 4) = a + 7