What is the answer to x^2-3x^{3/2}-4x=0 ?

The answer to x^2-3x^{3/2}-4x=0 is x=0,x=16

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x^2-3x^{3/2}-4x=0

x^{2} - 3 x^{\frac{3}{2}} - 4 x = 0

x = 0, x = 16

Solution steps

x^{2} - 3 x^{\frac{3}{2}} - 4 x = 0

Remove roots

9 x^{3} = x^{4} - 8 x^{3} + 16 x^{2}

Solve

9 x^{3} = x^{4} - 8 x^{3} + 16 x^{2} : x = 0, x = 1, x = 16

x = 0, x = 1, x = 16

Verify Solutions:

x = 0

True

, x = 1

False

, x = 16

True

The solutions are

x = 0, x = 16

3 x - 3 = 9

3 x - 3 = 3

4^{2} - 12 x + 9 = 3

1 + 2 - x - 5 - 2 x = 0

- 9 (1 - 8 x)^{\frac{1}{2}} = - 27

What is the answer to x^2-3x^{3/2}-4x=0 ?
The answer to x^2-3x^{3/2}-4x=0 is x=0,x=16
Solve for x: x^2-3x^{3/2}-4x=0
The solution is x=0,x=16