What is the answer to x^3-9x^{3/2}+8=0 ?

The answer to x^3-9x^{3/2}+8=0 is x=4,x=1

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x^3-9x^{3/2}+8=0

x^{3} - 9 x^{\frac{3}{2}} + 8 = 0

x = 4, x = 1

Solution steps

x^{3} - 9 x^{\frac{3}{2}} + 8 = 0

Remove roots

81 x^{3} = x^{6} + 16 x^{3} + 64

Solve

81 x^{3} = x^{6} + 16 x^{3} + 64 : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

True

The solutions are

x = 4, x = 1

x^{\frac{1}{3}} = 5

2 x - 5 = x

x = 2 - x

x + 2 = 3 x^{2} - 4 x - 1

What is the answer to x^3-9x^{3/2}+8=0 ?
The answer to x^3-9x^{3/2}+8=0 is x=4,x=1
Solve for x: x^3-9x^{3/2}+8=0
The solution is x=4,x=1