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Popular >

(x^2+10x+16)/(x-3)>0

Solution

\frac{x ^{2} + 10 x + 16}{x - 3} > 0

Solution

- 8 < x < - 2 or x > 3

+1

Interval Notation

(- 8, - 2) \cup (3, \infty)

Solution steps

\frac{x ^{2} + 10 x + 16}{x - 3} > 0

Factor

\frac{x ^{2} + 10 x + 16}{x - 3} : \frac{( x + 2 ) ( x + 8 )}{x - 3}

\frac{( x + 2 ) ( x + 8 )}{x - 3} > 0

Identify the intervals

- 8 < x < - 2 or x > 3

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Frequently Asked Questions (FAQ)

What is (x^2+10x+16)/(x-3)>0 ?
The solution to (x^2+10x+16)/(x-3)>0 is -8<x<-2\lor x>3