What is the answer to 5x^{-2}+13x^{-1}=28 ?

The answer to 5x^{-2}+13x^{-1}=28 is x= 5/7 ,x=-1/4

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5x^{-2}+13x^{-1}=28

5 x^{- 2} + 13 x^{- 1} = 28

x = \frac{5}{7}, x = - \frac{1}{4}

Decimal Notation

x = 0.71428 \dots, x = - 0.25

Solution steps

5 x^{- 2} + 13 x^{- 1} = 28

Refine

\frac{5}{x ^{2}} + \frac{13}{x} = 28

Multiply by LCM

5 + 13 x = 28 x^{2}

Solve

5 + 13 x = 28 x^{2} : x = \frac{5}{7}, x = - \frac{1}{4}

x = \frac{5}{7}, x = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{7}, x = - \frac{1}{4}

\frac{1}{8} + \frac{1}{12} = \frac{1}{x}

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

\frac{X}{X + 4} = \frac{7}{6}

y, x = \frac{y + 1}{2 y + 1}

\frac{3 x + 4}{2 x - 5} = \frac{5 x + 4}{2 x - 3}

What is the answer to 5x^{-2}+13x^{-1}=28 ?
The answer to 5x^{-2}+13x^{-1}=28 is x= 5/7 ,x=-1/4
Solve for x: 5x^{-2}+13x^{-1}=28
The solution is x= 5/7 ,x=-1/4