Solve for x
x\in \left(-\infty,-\sqrt{2}\right)\cup \left(\sqrt{2},\infty\right)
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x^{2}>\left(\sqrt{2}\right)^{2}
Calculate the square root of 2 and get \sqrt{2}. Rewrite 2 as \left(\sqrt{2}\right)^{2}.
|x|>\sqrt{2}
Inequality holds for |x|>\sqrt{2}.
x<-\sqrt{2}\text{; }x>\sqrt{2}
Rewrite |x|>\sqrt{2} as x<-\sqrt{2}\text{; }x>\sqrt{2}.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
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4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
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Limits
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