Solve for x
x\in \left(-\sqrt{15},\sqrt{15}\right)
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x^{2}-15<0
Multiply 5 and -3 to get -15.
x^{2}<15
Add 15 to both sides.
x^{2}<\left(\sqrt{15}\right)^{2}
Calculate the square root of 15 and get \sqrt{15}. Rewrite 15 as \left(\sqrt{15}\right)^{2}.
|x|<\sqrt{15}
Inequality holds for |x|<\sqrt{15}.
x\in \left(-\sqrt{15},\sqrt{15}\right)
Rewrite |x|<\sqrt{15} as x\in \left(-\sqrt{15},\sqrt{15}\right).
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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