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Popular >

sqrt(x)=x^{-1/2}

Solution

x = x^{- \frac{1}{2}}

Solution

x = 1

Solution steps

x = x^{- \frac{1}{2}}

Move

x^{- \frac{1}{2}}

to the left side

x - x^{- \frac{1}{2}} = 0

Factor

x - x^{- \frac{1}{2}} : \frac{x - 1}{x ^{\frac{1}{2}}}

Solve

\frac{x - 1}{x ^{\frac{1}{2}}} = 0 : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

Popular Examples

- x + 30 = x

sqrt(3-x)=sqrt(x+7)+2

3 - x = x + 7 + 2

12+sqrt(1-5x)=18

12 + 1 - 5 x = 18

x-7=sqrt(16x+49)

x - 7 = 16 x + 49

(3 x + 1)^{\frac{1}{2}} = 4

Frequently Asked Questions (FAQ)

What is the answer to sqrt(x)=x^{-1/2} ?
The answer to sqrt(x)=x^{-1/2} is x=1
Solve for x: sqrt(x)=x^{-1/2}
The solution is x=1