What is the answer to 5x^{-2}-9x^{-1}-2=0 ?

The answer to 5x^{-2}-9x^{-1}-2=0 is x=-5,x= 1/2

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5x^{-2}-9x^{-1}-2=0

5 x^{- 2} - 9 x^{- 1} - 2 = 0

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

Decimal Notation

x = - 5, x = 0.5

Solution steps

5 x^{- 2} - 9 x^{- 1} - 2 = 0

Refine

\frac{5}{x ^{2}} - \frac{9}{x} - 2 = 0

Multiply by LCM

5 - 9 x - 2 x^{2} = 0

Solve

5 - 9 x - 2 x^{2} = 0 : x = - 5, x = \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

a, b + \frac{m}{a} = z

\frac{18}{7 + c} = \frac{10}{7 - c}

\frac{6}{2 x + 7} = \frac{10}{3 x - 8}

E, L = \frac{25 M}{E}

\frac{18 x}{( x ^{2} - 9 ) ^{2}} = 0

What is the answer to 5x^{-2}-9x^{-1}-2=0 ?
The answer to 5x^{-2}-9x^{-1}-2=0 is x=-5,x= 1/2
Solve for x: 5x^{-2}-9x^{-1}-2=0
The solution is x=-5,x= 1/2