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

The answer to x^2= 1/x is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i

Solve for x: x^2= 1/x

The solution is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i

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

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

Solution steps

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

Multiply both sides by

x

x^{3} = 1

Solve

x^{3} = 1 : x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - \frac{1}{2} + \frac{3}{2} i, x = - \frac{1}{2} - \frac{3}{2} i

\frac{2}{x - 2} = 2 + \frac{x}{x - 2}

m, r = \frac{e}{m}

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

\frac{1}{( x - 2 ) ^{2}} = a

\frac{3}{2} = \frac{5}{7 x}

What is the answer to x^2= 1/x ?
The answer to x^2= 1/x is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i
Solve for x: x^2= 1/x
The solution is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i