What is the answer to 1/x+1/(x^2)= 3/4 ?

The answer to 1/x+1/(x^2)= 3/4 is x=2,x=-2/3

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1/x+1/(x^2)= 3/4

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

x = 2, x = - \frac{2}{3}

Decimal Notation

x = 2, x = - 0.66666 \dots

Solution steps

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

Multiply by LCM

4 x + 4 = 3 x^{2}

Solve

4 x + 4 = 3 x^{2} : x = 2, x = - \frac{2}{3}

x = 2, x = - \frac{2}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - \frac{2}{3}

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

\frac{9}{4 x} - \frac{5}{6} = - \frac{13}{12 x}

\frac{1}{x ^{2} - 5 x} = \frac{x + 7}{x} - 1

\frac{0.25}{3} = \frac{12}{x}

\frac{6}{y} = \frac{9}{33}

What is the answer to 1/x+1/(x^2)= 3/4 ?
The answer to 1/x+1/(x^2)= 3/4 is x=2,x=-2/3
Solve for x: 1/x+1/(x^2)= 3/4
The solution is x=2,x=-2/3