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
Nghi N
Apr 4, 2018

Impossible.

Explanation:

#f(x) = x^2 + 2cx - 6 < 0#
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.

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