What is the answer to 3x^{-2}-11x^{-1}-4=0 ?

The answer to 3x^{-2}-11x^{-1}-4=0 is x=-3,x= 1/4

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3x^{-2}-11x^{-1}-4=0

3 x^{- 2} - 11 x^{- 1} - 4 = 0

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

Decimal Notation

x = - 3, x = 0.25

Solution steps

3 x^{- 2} - 11 x^{- 1} - 4 = 0

Refine

\frac{3}{x ^{2}} - \frac{11}{x} - 4 = 0

Multiply by LCM

3 - 11 x - 4 x^{2} = 0

Solve

3 - 11 x - 4 x^{2} = 0 : x = - 3, x = \frac{1}{4}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{j + 4}{j + 2} = 2 - \frac{1}{j}

- \frac{2 y - 4}{y + 7} = \frac{1}{3}

u - \frac{2}{u} = 1

\frac{4}{1 + 3 y} = \frac{5}{44 - y}

8 x^{2} = \frac{1}{2 x}

What is the answer to 3x^{-2}-11x^{-1}-4=0 ?
The answer to 3x^{-2}-11x^{-1}-4=0 is x=-3,x= 1/4
Solve for x: 3x^{-2}-11x^{-1}-4=0
The solution is x=-3,x= 1/4