AM-1064

Discriminant and nature of roots

A Math · Secondary 4 · Hard · Discriminant and nature of roots

A quadratic equation is given by

3x^2-4kx+5=0

, where

k

is a constant.
For what values of

k

does the equation have real roots?

$k\le-\dfrac{\sqrt{15}}{2}$ or $k\ge\dfrac{\sqrt{15}}{2}$
$-\dfrac{\sqrt{15}}{2}<k<\dfrac{\sqrt{15}}{2}$
$k=\pm\dfrac{\sqrt{15}}{2}$ only
All real values of $k$

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