kx^2-3k+5=0 find the solutions (roots)

Answer 1

The way you wrote it
k x^2 = (3k-5)

x = +/- sqrt(3 - 5/k)

but I wonder if you mean
kx^2 -3kx+5

which would be
x = [3k +/- sqrt(9k^2-20k) ]/2k