What is the answer to 3x^{-2}-7x^{-1}-6=0 ?

The answer to 3x^{-2}-7x^{-1}-6=0 is x=-3/2 ,x= 1/3

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3x^{-2}-7x^{-1}-6=0

3 x^{- 2} - 7 x^{- 1} - 6 = 0

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

Decimal Notation

x = - 1.5, x = 0.33333 \dots

Solution steps

3 x^{- 2} - 7 x^{- 1} - 6 = 0

Refine

\frac{3}{x ^{2}} - \frac{7}{x} - 6 = 0

Multiply by LCM

3 - 7 x - 6 x^{2} = 0

Solve

3 - 7 x - 6 x^{2} = 0 : x = - \frac{3}{2}, x = \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

x, z = \frac{x y}{x - y}

\frac{2 ( - 1 + x )}{x} - 1 = 0

\frac{4}{x - 3} = \frac{9}{x + 2}

\frac{5}{k} = \frac{15}{20}

\frac{2 n}{4 n} = \frac{1}{2 n}

What is the answer to 3x^{-2}-7x^{-1}-6=0 ?
The answer to 3x^{-2}-7x^{-1}-6=0 is x=-3/2 ,x= 1/3
Solve for x: 3x^{-2}-7x^{-1}-6=0
The solution is x=-3/2 ,x= 1/3