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

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

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

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

x = 4, x = 1

Solution steps

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

Take both sides of the equation to the power of

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

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

Solve

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

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

True

The solutions are

x = 4, x = 1

x = x - 4

6 + 6 - 15 x = 15

x - 2 = 3

x + 2 = 1.1 x^{5}

x - 1 = x - 3