What is the answer to 2x^{7/2}-10=0 ?

The answer to 2x^{7/2}-10=0 is x=5^{2/7}

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2x^{7/2}-10=0

2 x^{\frac{7}{2}} - 10 = 0

x = 5^{\frac{2}{7}}

Decimal Notation

x = 1.58381 \dots

Solution steps

2 x^{\frac{7}{2}} - 10 = 0

Move

10

to the right side

2 x^{\frac{7}{2}} = 10

Divide both sides by

2

x^{\frac{7}{2}} = 5

Take both sides of the equation to the power of

\frac{2}{7} : x = 5^{\frac{2}{7}}

x = 5^{\frac{2}{7}}

Verify Solutions:

x = 5^{\frac{2}{7}}

True

The solution is

x = 5^{\frac{2}{7}}

- 10 x^{\frac{1}{2}} = x + 25

x + 3 + 5 x - 1 = 4

7 + 2 x - 11 = x

2 x + 2 x + 4 = 2

4 x + 5 - 6 = 2 x - 11