The value of k for which the equation $2kx^2-6x+3=0$ has real and e...

Question

The value of k for which the equation $2kx^2-6x+3=0$ has real and equal roots, is:

Accepted Answer

For real and equal roots, Discriminant $=0$: $$b^2-4ac=0 \Rightarrow (-6)^2-4(2k)(3)=0 \Rightarrow 36-24k=0 \Rightarrow k=\frac32$$