Thread: Inequality

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


Answer:
$\displaystyle m=-1$

Originally Posted by Apprentice123

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


Answer:
$\displaystyle m=-1$

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

Thank You