What is the answer to x^2+1/(x^2)=2 ?

The answer to x^2+1/(x^2)=2 is x=1,x=-1

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x^2+1/(x^2)=2

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

x = 1, x = - 1

Solution steps

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

Multiply both sides by

x^{2}

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

Solve

x^{4} + 1 = 2 x^{2} : x = 1, x = - 1

x = 1, x = - 1

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 1, x = - 1

\frac{5}{x - 3} + 9 = 2

\frac{3}{5} + \frac{7}{x + 2} = 2

\frac{2}{3 ( 9 x + 6 )} = 6 x + 4

\frac{1}{x - 2} + 3 = \frac{10}{x - 2}

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