What is the answer to 2x^{-2}-5x^{-1}-3=0 ?

The answer to 2x^{-2}-5x^{-1}-3=0 is x=-2,x= 1/3

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2x^{-2}-5x^{-1}-3=0

2 x^{- 2} - 5 x^{- 1} - 3 = 0

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

Decimal Notation

x = - 2, x = 0.33333 \dots

Solution steps

2 x^{- 2} - 5 x^{- 1} - 3 = 0

Refine

\frac{2}{x ^{2}} - \frac{5}{x} - 3 = 0

Multiply by LCM

2 - 5 x - 3 x^{2} = 0

Solve

2 - 5 x - 3 x^{2} = 0 : x = - 2, x = \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{4}{9} = \frac{13}{q}

\frac{5}{2 x + 6} = \frac{3}{4 x + 8}

1 = \frac{1}{x}

\frac{a - 1}{4} = \frac{8}{a + 3}

\frac{4}{x} = \frac{16}{5 x} + 4

What is the answer to 2x^{-2}-5x^{-1}-3=0 ?
The answer to 2x^{-2}-5x^{-1}-3=0 is x=-2,x= 1/3
Solve for x: 2x^{-2}-5x^{-1}-3=0
The solution is x=-2,x= 1/3