What is the answer to 2x^{-2}-13x^{-1}+20=0 ?

The answer to 2x^{-2}-13x^{-1}+20=0 is x= 2/5 ,x= 1/4

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2x^{-2}-13x^{-1}+20=0

2 x^{- 2} - 13 x^{- 1} + 20 = 0

x = \frac{2}{5}, x = \frac{1}{4}

Decimal Notation

x = 0.4, x = 0.25

Solution steps

2 x^{- 2} - 13 x^{- 1} + 20 = 0

Refine

\frac{2}{x ^{2}} - \frac{13}{x} + 20 = 0

Multiply by LCM

2 - 13 x + 20 x^{2} = 0

Solve

2 - 13 x + 20 x^{2} = 0 : x = \frac{2}{5}, x = \frac{1}{4}

x = \frac{2}{5}, x = \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{2}{5}, x = \frac{1}{4}

\frac{8}{x} = \frac{1}{3}

\frac{2}{x - 1} = \frac{3}{x + 5}

0.88 = \frac{x}{x + 50}

\frac{4}{2 x} - \frac{7}{3 x} = 1

\frac{x ^{2} + 12}{x ^{2} - 2} = 27

What is the answer to 2x^{-2}-13x^{-1}+20=0 ?
The answer to 2x^{-2}-13x^{-1}+20=0 is x= 2/5 ,x= 1/4
Solve for x: 2x^{-2}-13x^{-1}+20=0
The solution is x= 2/5 ,x= 1/4