What is the answer to 25x^{-4}-26x^{-2}+1=0 ?

The answer to 25x^{-4}-26x^{-2}+1=0 is x=5,x=-5,x=1,x=-1

Solve for x: 25x^{-4}-26x^{-2}+1=0

The solution is x=5,x=-5,x=1,x=-1

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25 x^{- 4} - 26 x^{- 2} + 1 = 0

x = 5, x = - 5, x = 1, x = - 1

Solution steps

25 x^{- 4} - 26 x^{- 2} + 1 = 0

Refine

\frac{25}{x ^{4}} - \frac{26}{x ^{2}} + 1 = 0

Multiply by LCM

25 - 26 x^{2} + x^{4} = 0

Solve

25 - 26 x^{2} + x^{4} = 0 : x = 5, x = - 5, x = 1, x = - 1

x = 5, x = - 5, x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 5, x = - 5, x = 1, x = - 1

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

\frac{3}{t - 2} + \frac{9}{2 - t} = 12

1 + \frac{2}{3 k} = \frac{4}{k}

\frac{7 x - 3}{x ^{2} + 9} = 1

a, \frac{a + b}{a - 3 b} = 5

What is the answer to 25x^{-4}-26x^{-2}+1=0 ?
The answer to 25x^{-4}-26x^{-2}+1=0 is x=5,x=-5,x=1,x=-1
Solve for x: 25x^{-4}-26x^{-2}+1=0
The solution is x=5,x=-5,x=1,x=-1