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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, su...Asked by Pool
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.
{(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.
Answers
Answered by
Oian
19
Answered by
Sambaran G.
thanx
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