What is the answer to y^{-4}-37y^{-2}+9=0 ?

The answer to y^{-4}-37y^{-2}+9=0 is

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y^{-4}-37y^{-2}+9=0

y^{- 4} - 37 y^{- 2} + 9 = 0

y = \frac{37 + 1333}{3 2}, y = - \frac{37 + 1333}{3 2}, y = \frac{37 - 1333}{3 2}, y = - \frac{37 - 1333}{3 2}

Decimal Notation

y = 2.02086 \dots, y = - 2.02086 \dots, y = 0.16494 \dots, y = - 0.16494 \dots

Solution steps

y^{- 4} - 37 y^{- 2} + 9 = 0

Refine

\frac{1}{y ^{4}} - \frac{37}{y ^{2}} + 9 = 0

Multiply by LCM

1 - 37 y^{2} + 9 y^{4} = 0

Solve

1 - 37 y^{2} + 9 y^{4} = 0 : y = \frac{37 + 1333}{3 2}, y = - \frac{37 + 1333}{3 2}, y = \frac{37 - 1333}{3 2}, y = - \frac{37 - 1333}{3 2}

y = \frac{37 + 1333}{3 2}, y = - \frac{37 + 1333}{3 2}, y = \frac{37 - 1333}{3 2}, y = - \frac{37 - 1333}{3 2}

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

y = \frac{37 + 1333}{3 2}, y = - \frac{37 + 1333}{3 2}, y = \frac{37 - 1333}{3 2}, y = - \frac{37 - 1333}{3 2}

2 x - \frac{8}{x ^{3}} = 0

\frac{( p - 12.5 )}{p} = 0.4

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

\frac{4}{x} + 8 = 2

\frac{8}{12} = \frac{6}{x}

What is the answer to y^{-4}-37y^{-2}+9=0 ?
The answer to y^{-4}-37y^{-2}+9=0 is
Solve for y: y^{-4}-37y^{-2}+9=0
The solution is