What is the answer to x^{-1/2}= 1/x ?

The answer to x^{-1/2}= 1/x is x=1

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x^{-1/2}= 1/x

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

x = 1

Solution steps

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

Multiply both sides by

x

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

Simplify

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

Expand

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

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

Square both sides:

x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

x - 5 - 4 = 0

3 x + 7 + x + 1 - 2 = 0

v = 3

v = 5