What is the answer to x^2=2401x^{-2} ?

The answer to x^2=2401x^{-2} is x=7,x=-7,x=7i,x=-7i

Solve for x: x^2=2401x^{-2}

The solution is x=7,x=-7,x=7i,x=-7i

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x^{2} = 2401 x^{- 2}

x = 7, x = - 7, x = 7 i, x = - 7 i

Solution steps

x^{2} = 2401 x^{- 2}

Refine

x^{2} = \frac{2401}{x ^{2}}

Multiply both sides by

x^{2}

x^{4} = 2401

Solve

x^{4} = 2401 : x = 7, x = - 7, x = 7 i, x = - 7 i

x = 7, x = - 7, x = 7 i, x = - 7 i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 7, x = - 7, x = 7 i, x = - 7 i

x = \frac{x ^{2} + 5 x + 4}{x - 3}

\frac{3}{a} + \frac{1}{2} = 1

\frac{5}{3 x - 4} = \frac{2}{x + 3}

\frac{2 x + 2}{6 x + 8} = 3

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

What is the answer to x^2=2401x^{-2} ?
The answer to x^2=2401x^{-2} is x=7,x=-7,x=7i,x=-7i
Solve for x: x^2=2401x^{-2}
The solution is x=7,x=-7,x=7i,x=-7i