# maths

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.

1. 👍 0
2. 👎 0
3. 👁 195

## Similar Questions

1. ### algebra

Consider the following system of inequalities: {(c-1)x^2+2cx+c+40 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

asked by hmmm on April 29, 2013
2. ### algebra

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

asked by Pool on May 2, 2013
3. ### MAths

Consider the following system of inequalities: (c−1)x^2+2cx+c+4≤0 ---- (1) cx^2+2(c+1)x+(c+1)≥0 ---- (2) The sum of all real values of c, such that the system has a unique solution, can be written as a/b, where a and b are

asked by ianian on April 29, 2013
4. ### Algebra 1

Can someone please check my answers? Thanks! :) 1.) Which of the following inequalities is true for all real values of x? a.) x^2≤x^3 b.) 2x^3≤4x^2 c.) 4x^2≤94x)^2 d.) 4(x-3)^2≥4x^2-3 My answer: B. 2.) Which of the

asked by Paris on September 30, 2014
5. ### Algebra 1

Can someone please check my answers? Thanks! :) 1.) Which of the following inequalities is true for all real values of x? a.) x^2≤x^3 b.) 2x^3≤4x^2 c.) 4x^2≤94x)^2 d.) 4(x-3)^2≥4x^2-3 My answer: B. 2.) Which of the

asked by Paris on September 30, 2014
1. ### Algebra 1

Can someone please check my answers? Thanks! :) 1.) Which of the following inequalities is true for all real values of x? a.) x^2≤x^3 b.) 2x^3≤4x^2 c.) 4x^2≤94x)^2 d.) 4(x-3)^2≥4x^2-3 My answer: B. 2.) Which of the

asked by Paris on September 30, 2014
2. ### Math

For how many ordered triples of positive real numbers (a,b,c), do the equations ax^2+2bx+c, bx^2+2cx+a and cx^2+2ax+b each have 2 distinct real roots?

asked by Crow on June 2, 2013
3. ### Math

For how many ordered triples of positive real numbers (a,b,c), do the equations ax^2+2bx+c, bx^2+2cx+a and cx^2+2ax+b each have 2 distinct real roots?

asked by Crow on June 10, 2013
4. ### Math

1.) Which of the following inequalities is true for all real values of x? a.) x^3≥^2 b.) 4x^2≥2x^2 c.) (3x)^2≥4x^2 d.) 2(x-3)^2≥2x^2-3 2.) Which following inequalities is true for all real values of x? a.) x^5≥x^4 b.)

asked by Fiona on October 5, 2014
5. ### Computer Sciene-java

Write a loop that will continuously prompt the user for integers to sum, -1 to exit. Sum these values and display the sum to the console. Here is what I have so far, but I feel like I am missing something: public class Sum1 {

asked by Lisa on November 1, 2009

More Similar Questions