What is the answer to y=2y^{-1}+3y^4 ?

The answer to y=2y^{-1}+3y^4 is y\approx-0.84430…

Solve for y: y=2y^{-1}+3y^4

The solution is y\approx-0.84430…

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y = 2 y^{- 1} + 3 y^{4}

y \approx - 0.84430 \dots

Solution steps

y = 2 y^{- 1} + 3 y^{4}

Refine

y = \frac{2}{y} + 3 y^{4}

Multiply both sides by

y

y^{2} = 2 + 3 y^{5}

Solve

y^{2} = 2 + 3 y^{5} : y \approx - 0.84430 \dots

y \approx - 0.84430 \dots

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y \approx - 0.84430 \dots

\frac{400}{x} = \frac{160}{x - 3}

\frac{x}{x - 8} = \frac{8}{x - 8} + 9

x, \frac{- 2}{5 x - 5 y} = 3

\frac{( x ^{4} - 1 )}{x ^{3}} = 0

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

What is the answer to y=2y^{-1}+3y^4 ?
The answer to y=2y^{-1}+3y^4 is y\approx-0.84430…
Solve for y: y=2y^{-1}+3y^4
The solution is y\approx-0.84430…