What is the answer to 16=2x^{3/2} ?

The answer to 16=2x^{3/2} is x=4

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16=2x^{3/2}

16 = 2 x^{\frac{3}{2}}

x = 4

Solution steps

16 = 2 x^{\frac{3}{2}}

Switch sides

2 x^{\frac{3}{2}} = 16

Divide both sides by

2

x^{\frac{3}{2}} = 8

Take both sides of the equation to the power of

2 : x^{3} = 64

x^{3} = 64

Solve

x^{3} = 64 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

- 3 + (3 - 2 x)^{\frac{5}{4}} = 29

a^{2} = 17

5 x - 19 - 5 x = - 1

1 - x^{2} = x

x^{2} + 5 = x + 3