What is the answer to x^2+1/(x^2)=34 ?

The answer to x^2+1/(x^2)=34 is x=2sqrt(2)+3,x=3-2sqrt(2)

Solve for x: x^2+1/(x^2)=34

The solution is x=2sqrt(2)+3,x=3-2sqrt(2)

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x^{2} + \frac{1}{x ^{2}} = 34

x = 22 + 3, x = 3 - 22

Decimal Notation

x = 5.82842 \dots, x = 0.17157 \dots

Solution steps

x^{2} + \frac{1}{x ^{2}} = 34

Multiply both sides by

x^{2}

x^{4} + 1 = 34 x^{2}

Solve

x^{4} + 1 = 34 x^{2} : x = 22 + 3, x = 3 - 22

x = 22 + 3, x = 3 - 22

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 22 + 3, x = 3 - 22

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

\frac{4 d + 1}{d + 9} = \frac{- 3}{- 2}

\frac{3}{1712} = \frac{4}{x}

\frac{x ^{- 1}}{3} = 32 x^{- 2}

u, g = \frac{( d )}{( 1 - u )}

What is the answer to x^2+1/(x^2)=34 ?
The answer to x^2+1/(x^2)=34 is x=2sqrt(2)+3,x=3-2sqrt(2)
Solve for x: x^2+1/(x^2)=34
The solution is x=2sqrt(2)+3,x=3-2sqrt(2)