What is the answer to 2x^{3/2}+x^3=15 ?

The answer to 2x^{3/2}+x^3=15 is x=\sqrt[3]{9}

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2x^{3/2}+x^3=15

2 x^{\frac{3}{2}} + x^{3} = 15

Decimal Notation

x = 2.08008 \dots

Solution steps

2 x^{\frac{3}{2}} + x^{3} = 15

Remove roots

4 x^{3} = 225 - 30 x^{3} + x^{6}

Solve

Verify Solutions:

False

True

The solution is

7 x + 16 + 4 = x

x^{- \frac{1}{6}} = \frac{1}{2}

3 x + 2 - x = 2

x - 4 x + 3 + 6 = 0

x^{2} = 6 x + 5

What is the answer to 2x^{3/2}+x^3=15 ?
The answer to 2x^{3/2}+x^3=15 is x=\sqrt[3]{9}
Solve for x: 2x^{3/2}+x^3=15
The solution is x=\sqrt[3]{9}