What is the answer to 1/x+6/(x^2)=1 ?

The answer to 1/x+6/(x^2)=1 is x=3,x=-2

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1/x+6/(x^2)=1

\frac{1}{x} + \frac{6}{x ^{2}} = 1

x = 3, x = - 2

Solution steps

\frac{1}{x} + \frac{6}{x ^{2}} = 1

Multiply by LCM

x + 6 = x^{2}

Solve

x + 6 = x^{2} : x = 3, x = - 2

x = 3, x = - 2

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - 2

\frac{x}{x - 1} - \frac{6}{1 - x} = 2

\frac{1}{3 x - 4} = 5

\frac{x ^{10} - m ^{10}}{x ^{2} + m ^{2}}

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

x, \frac{2}{x} = 1.32588