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Popular >

(x^2+2x)/(x^2-4)>= 0

Solution

\frac{x ^{2} + 2 x}{x ^{2} - 4} \geq 0

Solution

x < - 2 or - 2 < x \leq 0 or x > 2

+1

Interval Notation

(- \infty, - 2) \cup (- 2, 0] \cup (2, \infty)

Solution steps

\frac{x ^{2} + 2 x}{x ^{2} - 4} \geq 0

Factor

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

\frac{x ( x + 2 )}{( x + 2 ) ( x - 2 )} \geq 0

Identify the intervals

x < - 2 or - 2 < x \leq 0 or x > 2

Popular Examples

4 t - 3 = - 21

- 212 = - 4 (6 n + 5)

- 2 < 2 x + 1 < 5

simplify (3a^2)/(9a^2)simplify

\frac{3 a ^{2}}{9 a ^{2}}

simplify 1/((2){-\frac{sqrt(3))/2}}simplify

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

Frequently Asked Questions (FAQ)

What is (x^2+2x)/(x^2-4)>= 0 ?
The solution to (x^2+2x)/(x^2-4)>= 0 is x<-2\lor-2<x<= 0\lor x>2