What is the answer to 5x^{5/2}-10=0 ?

The answer to 5x^{5/2}-10=0 is x=2^{2/5}

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5x^{5/2}-10=0

5 x^{\frac{5}{2}} - 10 = 0

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

Decimal Notation

x = 1.31950 \dots

Solution steps

5 x^{\frac{5}{2}} - 10 = 0

Move

10

to the right side

5 x^{\frac{5}{2}} = 10

Divide both sides by

5

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}}

\frac{2}{3} w + 12 = 8 - 2 w

2 y + 6 + 7 = y + 6

2 n + 25 = - 5 - n

0 = x - 3 + 4

x + 6 = - 5