What is the answer to 4x^{-4}-7x^{-2}-2=0 ?

The answer to 4x^{-4}-7x^{-2}-2=0 is x=2i,x=-2i,x= 1/(sqrt(2)),x=-1/(sqrt(2))

Solve for x: 4x^{-4}-7x^{-2}-2=0

The solution is x=2i,x=-2i,x= 1/(sqrt(2)),x=-1/(sqrt(2))

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4 x^{- 4} - 7 x^{- 2} - 2 = 0

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

Solution steps

4 x^{- 4} - 7 x^{- 2} - 2 = 0

Refine

\frac{4}{x ^{4}} - \frac{7}{x ^{2}} - 2 = 0

Multiply by LCM

4 - 7 x^{2} - 2 x^{4} = 0

Solve

4 - 7 x^{2} - 2 x^{4} = 0 : x = 2 i, x = - 2 i, x = \frac{1}{2}, x = - \frac{1}{2}

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

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

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

\frac{7}{( 3 a + n )} = 2

V, D = \frac{M}{V}

x = \frac{15}{x} - 22

\frac{x}{x + 3} = \frac{4}{6}

r = \frac{a - x}{a + x}

What is the answer to 4x^{-4}-7x^{-2}-2=0 ?
The answer to 4x^{-4}-7x^{-2}-2=0 is x=2i,x=-2i,x= 1/(sqrt(2)),x=-1/(sqrt(2))
Solve for x: 4x^{-4}-7x^{-2}-2=0
The solution is x=2i,x=-2i,x= 1/(sqrt(2)),x=-1/(sqrt(2))