Sunday
April 20, 2014

Homework Help: algebra

Posted by hmmm on Monday, April 29, 2013 at 11:46am.

Consider the following system of inequalities:

{(c-1)x^2+2cx+c+4<0
{ cx^2 + 2(c+1)x+(c+1)>0

The sum of all real values of c, such that the system has a unique solution, can be written as ab, where a and b are coprime positive integers. What is the value of a+b?

Details and assumptions
-c can be negative.

-The system has a unique solution if there is only 1 real value x which is satisfied throughout.

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