tmua.fyi Paper 2 Challenge 2 · Question 3

For the quadratic $ax^2+bx+c$ with $a\ne0$ and $a,b,c$ real, the condition $ac<0$ is

Anecessary but not sufficient for two distinct real roots.

Bnecessary and sufficient for two distinct real roots.

Cneither necessary nor sufficient for two distinct real roots.

Dsufficient for two distinct real roots only when

b=0

Enecessary but not sufficient for two distinct real roots of opposite sign.

Fsufficient but not necessary for two distinct real roots.

Gequivalent to the discriminant being positive.

Hnecessary and sufficient for two distinct real roots of the same sign.

examday