What is the answer to 12x^{-2}-16x^{-1}+5=0 ?

The answer to 12x^{-2}-16x^{-1}+5=0 is x=2,x= 6/5

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12x^{-2}-16x^{-1}+5=0

12 x^{- 2} - 16 x^{- 1} + 5 = 0

x = 2, x = \frac{6}{5}

Solution steps

12 x^{- 2} - 16 x^{- 1} + 5 = 0

Refine

\frac{12}{x ^{2}} - \frac{16}{x} + 5 = 0

Multiply by LCM

12 - 16 x + 5 x^{2} = 0

Solve

12 - 16 x + 5 x^{2} = 0 : x = 2, x = \frac{6}{5}

x = 2, x = \frac{6}{5}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = \frac{6}{5}

9 + \frac{2}{v - 1} = - \frac{4}{v - 2}

\frac{x}{( 1 - x )} = 2.5

24 = \frac{6}{x ^{4}} \cdot x^{2}

\frac{4 x + 3}{4 x - 7} = \frac{5}{3}

x \frac{3}{x} + 5 = 0

What is the answer to 12x^{-2}-16x^{-1}+5=0 ?
The answer to 12x^{-2}-16x^{-1}+5=0 is x=2,x= 6/5
Solve for x: 12x^{-2}-16x^{-1}+5=0
The solution is x=2,x= 6/5