Monday

September 22, 2014

September 22, 2014

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

{(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.

- algebra -
**Steve**, Monday, April 29, 2013 at 2:32pmYou sure these are < and >, not <= and >=?

Solutions to such are open intervals.

Intersections of open intervals cannot be a single value for x.

- algebra -
**hmmm**, Tuesday, April 30, 2013 at 2:35amohw... sorry for that... for clarification, it's:

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

{ cx^2 + 2(c+1)x+(c+1)>or=0

- algebra -
**pi**, Wednesday, May 1, 2013 at 6:50am5/4. Giving 9

- algebra -
**Math defender**, Thursday, May 2, 2013 at 11:35amno, its incorrect

- algebra -
**hans**, Tuesday, May 7, 2013 at 1:41am19 is the correct answer

**Answer this Question**

**Related Questions**

algebra - Consider the following system of inequalities: {(c−1)x^2+2cx+c+4...

maths - Consider the following system of inequalities: {(c−1)x^2+2cx+c+4&#...

MAths - Consider the following system of inequalities: (c−1)x^2+2cx+c+4&#...

Linear algebra - Consider for every real number a the linear system of equations...

Linear Algebra - Consider the system x-2y=k-1 4x+(1-k^2)y=8 For what values of k...

math - two systems of equations are given below for each system, choose the best...

math - two systems of equations are giving below for each system choosethe best ...

Math - Consider the following 2x2 system of linear equations, x + y = 3 x + (a^2...

Algebra - Suppose a linear system of equations has 2012 equations and 2013 ...

algebra - Which of the following ordered pairs is included in the solution set ...