What is the answer to 2x^{3/2}=250 ?

The answer to 2x^{3/2}=250 is x=25

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2x^{3/2}=250

2 x^{\frac{3}{2}} = 250

x = 25

Solution steps

2 x^{\frac{3}{2}} = 250

Divide both sides by

2

x^{\frac{3}{2}} = 125

Take both sides of the equation to the power of

2 : x^{3} = 15625

x^{3} = 15625

Solve

x^{3} = 15625 : x = 25

x = 25

Verify Solutions:

x = 25

True

The solution is

x = 25

x \cdot 2 = 3 x

7 x + 65 = x + 3

x - 16 x + 63 = 0

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

2 x + x - 1 = 0