What is the answer to 3x^{-2}-13x^{-1}+12=0 ?

The answer to 3x^{-2}-13x^{-1}+12=0 is x= 3/4 ,x= 1/3

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3x^{-2}-13x^{-1}+12=0

3 x^{- 2} - 13 x^{- 1} + 12 = 0

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

Decimal Notation

x = 0.75, x = 0.33333 \dots

Solution steps

3 x^{- 2} - 13 x^{- 1} + 12 = 0

Refine

\frac{3}{x ^{2}} - \frac{13}{x} + 12 = 0

Multiply by LCM

3 - 13 x + 12 x^{2} = 0

Solve

3 - 13 x + 12 x^{2} = 0 : x = \frac{3}{4}, x = \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

12880 = \frac{10000}{x + 1}

1 = \frac{1}{166000 \cdot x}

\frac{4}{6} = \frac{5}{m - 8}

\frac{270}{3 x} = 15

\frac{100}{x} = 10 - x

What is the answer to 3x^{-2}-13x^{-1}+12=0 ?
The answer to 3x^{-2}-13x^{-1}+12=0 is x= 3/4 ,x= 1/3
Solve for x: 3x^{-2}-13x^{-1}+12=0
The solution is x= 3/4 ,x= 1/3