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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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!
What is the question and what have you tried?
or is it
To get the book answer, the problem would have to be equivalent to solving:Quote:
Originally Posted by Dragon08
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.
To SammyS: Oh, then the the book's answer may be wrong.
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.
Good spot on the -2x instead of 2x (Clap)Quote:
Originally Posted by SironFirst 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
Solve:
Now you can make a sign table to determine the solution.
Alternatively, ifthen we need to change the direction of the inequality when multiplying through by x.