# Math Help - Inequality

1. ## Inequality

Find m to that the inequality $(m-3)x^2+4x+m<0$ is valid for all values of x, except for one.

$m=-1$

2. Originally Posted by Apprentice123
Find m to that the inequality $(m-3)x^2+4x+m<0$ is valid for all values of x, except for one.

$m=-1$
Hi

You must have the discriminant equal to 0 (which gives m=-1 or m=4) and m-3 < 0
Therefore m=-1 is the only possibility

3. Thank You