What is the answer to x^2-1/x =0 ?

The answer to x^2-1/x =0 is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i

Solve for x: x^2-1/x =0

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} = 0

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} = 0

Multiply both sides by

x

x^{3} - 1 = 0

Solve

x^{3} - 1 = 0 : 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{x + 7}{3 x} = 2

y, x = \frac{z}{w - y}

\frac{1}{x + 3} + \frac{6}{x ^{2} - 9} = 1

\frac{16}{x + 3} = - \frac{8}{11}

x + \frac{2}{x - 2} = \frac{5}{x - 2}

What is the answer to x^2-1/x =0 ?
The answer to x^2-1/x =0 is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i
Solve for x: x^2-1/x =0
The solution is x=1,x=-1/2+(sqrt(3))/2 i,x=-1/2-(sqrt(3))/2 i