What is the answer to 9+x^{-4}=10x^{-2} ?

The answer to 9+x^{-4}=10x^{-2} is x=1,x=-1,x= 1/3 ,x=-1/3

Solve for x: 9+x^{-4}=10x^{-2}

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

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9 + x^{- 4} = 10 x^{- 2}

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

Decimal Notation

x = 1, x = - 1, x = 0.33333 \dots, x = - 0.33333 \dots

Solution steps

9 + x^{- 4} = 10 x^{- 2}

Refine

9 + \frac{1}{x ^{4}} = \frac{10}{x ^{2}}

Multiply by LCM

9 x^{4} + 1 = 10 x^{2}

Solve

9 x^{4} + 1 = 10 x^{2} : x = 1, x = - 1, x = \frac{1}{3}, x = - \frac{1}{3}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{100 x - 10000}{x ^{2}} = 0

\frac{1}{2 x ^{2} + x} = 5

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

\frac{1}{2 x + 5} = 15

\frac{5}{6 x} = \frac{7}{3}

What is the answer to 9+x^{-4}=10x^{-2} ?
The answer to 9+x^{-4}=10x^{-2} is x=1,x=-1,x= 1/3 ,x=-1/3
Solve for x: 9+x^{-4}=10x^{-2}
The solution is x=1,x=-1,x= 1/3 ,x=-1/3