Question

Find the value of k for which the quadratic equation 2x2 + kx+3 = 0 have equal
roots​

Answer 1

ANSWER:-

$2x^{2} + kx +3=0$

Comparing with $ax^{2} +bx+c=0$

a = 2, b=k, c=3

Since the equation has 2 equal roots,

D = 0

$b^{2} - 4ac = 0$

Putting the values,

$k^{2} -4 * 2* 3 = 0\\k^{2} -24 = 0\\k^2 = 24\\k = ± \sqrt{24}$