What is the answer to 11x^{-2}-35x^{-1}+6=0 ?

The answer to 11x^{-2}-35x^{-1}+6=0 is x= 11/2 ,x= 1/3

Solve for x: 11x^{-2}-35x^{-1}+6=0

The solution is x= 11/2 ,x= 1/3

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11 x^{- 2} - 35 x^{- 1} + 6 = 0

x = \frac{11}{2}, x = \frac{1}{3}

Solution steps

11 x^{- 2} - 35 x^{- 1} + 6 = 0

Refine

\frac{11}{x ^{2}} - \frac{35}{x} + 6 = 0

Multiply by LCM

11 - 35 x + 6 x^{2} = 0

Solve

11 - 35 x + 6 x^{2} = 0 : x = \frac{11}{2}, x = \frac{1}{3}

x = \frac{11}{2}, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{11}{2}, x = \frac{1}{3}

(\frac{15}{x} + 3) 7 - 9 x = 0

\frac{2}{5 - x} + \frac{3}{x + 7} = 1

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

x + \frac{15}{x} = 8

y, x = \frac{1}{y + 3}

What is the answer to 11x^{-2}-35x^{-1}+6=0 ?
The answer to 11x^{-2}-35x^{-1}+6=0 is x= 11/2 ,x= 1/3
Solve for x: 11x^{-2}-35x^{-1}+6=0
The solution is x= 11/2 ,x= 1/3