Question

find value of k , if the quadratic equation 3xsquare - kroot3 + 4 = 0 has equal roots

Answer 1

Hope the pic. is clear.

Answer 2

3x^2-k(3)^1/2+4=0
we can write it as:
3x^2+0x-(k root3-4)=0
since it has equal roots.
so D=0.
b^2-4ac=0
0^2-4*3*{-(k root3-4)}=0
4*3*(k root3-4)=0
k root3-4=0
k=4/root3.