Solve the inequality: 2x-10/x >x+5

I tried it and got an unfactorable polynomial: x^2+3x+10, but the answer says it's x<-5 and -2<x<0.

Thanks in advance!

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- Aug 11th 2011, 05:43 PMDragon08Solving Rational Inequalities
Solve the inequality: 2x-10/x >x+5

I tried it and got an unfactorable polynomial: x^2+3x+10, but the answer says it's x<-5 and -2<x<0.

Thanks in advance! - Aug 11th 2011, 05:57 PMe^(i*pi)Re: Solving Rational Inequalities
What is the question and what have you tried?

or is it - Aug 11th 2011, 07:24 PMSammySRe: Solving Rational Inequalities
- Aug 11th 2011, 07:42 PMDragon08Re: Solving Rational Inequalities
It's the first one, and I made the moved x+5 onto the left side and made a common denominator. The resulting polynomial numerator is unfactorable.

- Aug 11th 2011, 07:43 PMDragon08Re: Solving Rational Inequalities
To SammyS: Oh, then the the book's answer may be wrong.

- Aug 12th 2011, 01:19 AMSironRe: Solving Rational Inequalities
First of all, like SammyS said it has to be -2x in the numerator of the RS, because if it's 2x then you'll get a negative discriminant and so no roots in .

Rational inequality

and

Solve:

Now you can make a sign table to determine the solution. - Aug 12th 2011, 03:57 AMe^(i*pi)Re: Solving Rational Inequalities