Question

For what value of $k$ does $2x^2+kx+3=0$ have equal to roots?

Answer 1

$2x^2+kx+3=0$ ---(1)

if eq (1)has equal roots then

Discriminant (1)=$\sqrt{b^2-4ac}=0$

$b^2=4ac$

$k^2=4\times 2\times 3$

$k^2=24$

$k=\sqrt{24}$=$\pm 2\sqrt{6}$

$\therefore$ for k = $\pm 2\sqrt{16}$ given equation has equal roots.