What is the answer to x^{-4}-13x^{-2}+36=0 ?

The answer to x^{-4}-13x^{-2}+36=0 is x= 1/2 ,x=-1/2 ,x= 1/3 ,x=-1/3

Solve for x: x^{-4}-13x^{-2}+36=0

The solution is x= 1/2 ,x=-1/2 ,x= 1/3 ,x=-1/3

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x^{- 4} - 13 x^{- 2} + 36 = 0

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

Decimal Notation

x = 0.5, x = - 0.5, x = 0.33333 \dots, x = - 0.33333 \dots

Solution steps

x^{- 4} - 13 x^{- 2} + 36 = 0

Refine

\frac{1}{x ^{4}} - \frac{13}{x ^{2}} + 36 = 0

Multiply by LCM

1 - 13 x^{2} + 36 x^{4} = 0

Solve

1 - 13 x^{2} + 36 x^{4} = 0 : x = \frac{1}{2}, x = - \frac{1}{2}, x = \frac{1}{3}, x = - \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

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

y^{- 2} = \frac{25}{4}

x + (\frac{1}{x}) = 10

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

\frac{x}{x + 10} = \frac{1}{5}

What is the answer to x^{-4}-13x^{-2}+36=0 ?
The answer to x^{-4}-13x^{-2}+36=0 is x= 1/2 ,x=-1/2 ,x= 1/3 ,x=-1/3
Solve for x: x^{-4}-13x^{-2}+36=0
The solution is x= 1/2 ,x=-1/2 ,x= 1/3 ,x=-1/3