What is the answer to 5x^{-2}-17x^{-1}+6=0 ?

The answer to 5x^{-2}-17x^{-1}+6=0 is x= 5/2 ,x= 1/3

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5x^{-2}-17x^{-1}+6=0

5 x^{- 2} - 17 x^{- 1} + 6 = 0

x = \frac{5}{2}, x = \frac{1}{3}

Decimal Notation

x = 2.5, x = 0.33333 \dots

Solution steps

5 x^{- 2} - 17 x^{- 1} + 6 = 0

Refine

\frac{5}{x ^{2}} - \frac{17}{x} + 6 = 0

Multiply by LCM

5 - 17 x + 6 x^{2} = 0

Solve

5 - 17 x + 6 x^{2} = 0 : x = \frac{5}{2}, x = \frac{1}{3}

x = \frac{5}{2}, x = \frac{1}{3}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{5}{2}, x = \frac{1}{3}

\frac{23}{x + 10} = \frac{1}{4}

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

\frac{2 + x}{x - 1} = 8

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

20 = \frac{x ^{2}}{35 - x}

What is the answer to 5x^{-2}-17x^{-1}+6=0 ?
The answer to 5x^{-2}-17x^{-1}+6=0 is x= 5/2 ,x= 1/3
Solve for x: 5x^{-2}-17x^{-1}+6=0
The solution is x= 5/2 ,x= 1/3