What is the answer to 6x^{5/2}-12=0 ?

The answer to 6x^{5/2}-12=0 is x=2^{2/5}

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6x^{5/2}-12=0

6 x^{\frac{5}{2}} - 12 = 0

x = 2^{\frac{2}{5}}

Decimal Notation

x = 1.31950 \dots

Solution steps

6 x^{\frac{5}{2}} - 12 = 0

Move

12

to the right side

6 x^{\frac{5}{2}} = 12

Divide both sides by

6

x^{\frac{5}{2}} = 2

Take both sides of the equation to the power of

\frac{2}{5} : x = 2^{\frac{2}{5}}

x = 2^{\frac{2}{5}}

Verify Solutions:

x = 2^{\frac{2}{5}}

True

The solution is

x = 2^{\frac{2}{5}}

x = 0.01

x^{2} - x - 4 = x + 5

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

x = x + 1 + 5

(x - 1)^{\frac{3}{4}} = 8