What is the answer to 3x^{-2}-5x^{-1}+6=0 ?

The answer to 3x^{-2}-5x^{-1}+6=0 is x= 5/12+i(sqrt(47))/(12),x= 5/12-i(sqrt(47))/(12)

Solve for x: 3x^{-2}-5x^{-1}+6=0

The solution is x= 5/12+i(sqrt(47))/(12),x= 5/12-i(sqrt(47))/(12)

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

x = \frac{5}{12} + i \frac{47}{12}, x = \frac{5}{12} - i \frac{47}{12}

Solution steps

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

Refine

\frac{3}{x ^{2}} - \frac{5}{x} + 6 = 0

Multiply by LCM

3 - 5 x + 6 x^{2} = 0

Solve

3 - 5 x + 6 x^{2} = 0 : x = \frac{5}{12} + i \frac{47}{12}, x = \frac{5}{12} - i \frac{47}{12}

x = \frac{5}{12} + i \frac{47}{12}, x = \frac{5}{12} - i \frac{47}{12}

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

- \frac{1}{5} = x^{- 1}

4 = \frac{16}{x + 2}

\frac{x - y}{x} = 1 - \frac{y}{x}

3 = \frac{55}{b}

What is the answer to 3x^{-2}-5x^{-1}+6=0 ?
The answer to 3x^{-2}-5x^{-1}+6=0 is x= 5/12+i(sqrt(47))/(12),x= 5/12-i(sqrt(47))/(12)
Solve for x: 3x^{-2}-5x^{-1}+6=0
The solution is x= 5/12+i(sqrt(47))/(12),x= 5/12-i(sqrt(47))/(12)