quadratic question (1 Viewer)

[jjuunnee]

Find values of m such that mx² + 3x - 4 < 0 for all x

 

[InteGrand]

Find values of m such that mx² + 3x - 4 < 0 for all x

Find the discriminant in terms of m and solve for m so that the following two conditions hold: 1) m is negative, and 2) the discriminant is negative.

 

[ProdigyInspired]

Hint: Use discriminant.

 

[Green Yoda]

Δ=9-4(m)(-4)<0
∴9+16m<0
∴m<-9/16