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Popular >

(x^2+x)/(x^2-1)>0

Solution

\frac{x ^{2} + x}{x ^{2} - 1} > 0

Solution

x < - 1 or - 1 < x < 0 or x > 1

+1

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (1, \infty)

Solution steps

\frac{x ^{2} + x}{x ^{2} - 1} > 0

Factor

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

\frac{x ( x + 1 )}{( x + 1 ) ( x - 1 )} > 0

Identify the intervals

x < - 1 or - 1 < x < 0 or x > 1

Popular Examples

∣ 8 x + 7 ∣ = 4

x^{2} - 2 x - 35 \leq 0

simplify (1/y-1/x)/(x/y-y/x)simplify

\frac{\frac{1}{y} - \frac{1}{x}}{\frac{x}{y} - \frac{y}{x}}

simplify s^{3/4}*s^{13/4}simplify

s^{\frac{3}{4}} \cdot s^{\frac{13}{4}}

- 2 x^{2} + 7 x + 30 = 0

Frequently Asked Questions (FAQ)

What is (x^2+x)/(x^2-1)>0 ?
The solution to (x^2+x)/(x^2-1)>0 is x<-1\lor-1<x<0\lor x>1