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Popular >

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

Solution

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

Solution

x = - 1 or x = 1

+1

Interval Notation

x = - 1 \cup x = 1

Solution steps

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

Rewrite in standard form

\frac{x ^{4} + 1 - 2 x ^{2}}{x ^{2}} \leq 0

Factor

\frac{x ^{4} + 1 - 2 x ^{2}}{x ^{2}} : \frac{( x + 1 ) ^{2} ( x - 1 ) ^{2}}{x ^{2}}

\frac{( x + 1 ) ^{2} ( x - 1 ) ^{2}}{x ^{2}} \leq 0

Identify the intervals

x = - 1, x = 1

x = - 1 or x = 1

Popular Examples

2 - \frac{2}{4} x > 2

- 12 + x = 23

simplify (x^{4/3})^2 simplify

(x^{\frac{4}{3}})^{2}

simplify \sqrt[6]{m}\sqrt[3]{m^8}simplify

factor z^2+9z+8 factor

z^{2} + 9 z + 8

Frequently Asked Questions (FAQ)

What is x^2+1/(x^2)<= 2 ?
The solution to x^2+1/(x^2)<= 2 is x=-1\lor x=1