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

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

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

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

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

Decimal Notation

x = 1, x = - 0.75

Solution steps

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

Multiply by LCM

x + 3 = 4 x^{2}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

0 = - 400 (400 - t^{2})^{- 1}

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

\frac{x + 4}{x - 2} = 3

\frac{20 x ^{3}}{x} = 20

x + 5 = \frac{1}{x}