What is the answer to x^2+1/(x^2)=66 ?

The answer to x^2+1/(x^2)=66 is x=sqrt(17)+4,x=sqrt(17)-4

Solve for x: x^2+1/(x^2)=66

The solution is x=sqrt(17)+4,x=sqrt(17)-4

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x^{2} + \frac{1}{x ^{2}} = 66

x = 17 + 4, x = 17 - 4

Decimal Notation

x = 8.12310 \dots, x = 0.12310 \dots

Solution steps

x^{2} + \frac{1}{x ^{2}} = 66

Multiply both sides by

x^{2}

x^{4} + 1 = 66 x^{2}

Solve

x^{4} + 1 = 66 x^{2} : x = 17 + 4, x = 17 - 4

x = 17 + 4, x = 17 - 4

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 17 + 4, x = 17 - 4

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

\frac{10}{2 q + 8} = 10

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

x, f (4 t + 2) = \frac{3}{x}

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

What is the answer to x^2+1/(x^2)=66 ?
The answer to x^2+1/(x^2)=66 is x=sqrt(17)+4,x=sqrt(17)-4
Solve for x: x^2+1/(x^2)=66
The solution is x=sqrt(17)+4,x=sqrt(17)-4