A non zero value of #c# such that the solution set for the inequality #x^2+2cx-6<0# is the open interval is #(-3c,c)# is?
1 Answer
Apr 4, 2018
Impossible.
Explanation:
The graph of f(x) is a downward parabola (a > 0).
f(x) is negative (f(x) < 0) when x is out side the interval between the 2 real roots.(x1, x2).
So, the inequality is impossible regardless of the value of c.