What is the answer to 4x^{-2}-23x^{-1}-6=0 ?

The answer to 4x^{-2}-23x^{-1}-6=0 is x=-4,x= 1/6

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4x^{-2}-23x^{-1}-6=0

4 x^{- 2} - 23 x^{- 1} - 6 = 0

x = - 4, x = \frac{1}{6}

Decimal Notation

x = - 4, x = 0.16666 \dots

Solution steps

4 x^{- 2} - 23 x^{- 1} - 6 = 0

Refine

\frac{4}{x ^{2}} - \frac{23}{x} - 6 = 0

Multiply by LCM

4 - 23 x - 6 x^{2} = 0

Solve

4 - 23 x - 6 x^{2} = 0 : x = - 4, x = \frac{1}{6}

x = - 4, x = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 4, x = \frac{1}{6}

\frac{7}{14 - d} = \frac{3}{18 + d}

\frac{2}{3} = \frac{12}{x}

\frac{2.6}{7.8} = \frac{3}{x}

\frac{5}{2 x + 3} - \frac{1}{x - 6} = 0

\frac{2 x + 2}{3 x + 1} = \frac{4}{5}

What is the answer to 4x^{-2}-23x^{-1}-6=0 ?
The answer to 4x^{-2}-23x^{-1}-6=0 is x=-4,x= 1/6
Solve for x: 4x^{-2}-23x^{-1}-6=0
The solution is x=-4,x= 1/6