Question

Determine value of k for which the quadratic equation 4x² -2k x +3 = 0 has equal roots​

Answer 1

Answer:

a = 4

b = - 2k

c = 3

For equal roots :-

${b}^{2} - 4ac = 0 \\ \\ {(2k}^{2} ) - 4(4)(3) = 0 \\ \\ 4 {k}^{2} - 48 = 0 \\ \\ 4 {k }^{2} = 48 \\ \\ {k}^{2} = 12 \\ \\ k \: = 2 \sqrt{3} \: \: or \: \: k \: = - 2 \sqrt{3}$