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Popular >

(x^2-16)/(x^2-25)<0

Solution

\frac{x ^{2} - 16}{x ^{2} - 25} < 0

Solution

- 5 < x < - 4 or 4 < x < 5

+1

Interval Notation

(- 5, - 4) \cup (4, 5)

Solution steps

\frac{x ^{2} - 16}{x ^{2} - 25} < 0

Factor

\frac{x ^{2} - 16}{x ^{2} - 25} : \frac{( x + 4 ) ( x - 4 )}{( x + 5 ) ( x - 5 )}

\frac{( x + 4 ) ( x - 4 )}{( x + 5 ) ( x - 5 )} < 0

Identify the intervals

- 5 < x < - 4 or 4 < x < 5

Graph

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Frequently Asked Questions (FAQ)

What is (x^2-16)/(x^2-25)<0 ?
The solution to (x^2-16)/(x^2-25)<0 is -5<x<-4\lor 4<x<5