Question

x (4-kx) =3 find k if roots are real and equal

Answer 1

Ok so let the roots = q and p

so p = q

x(4-kx) = 3
x4-kx^2 = 3
-2kx+4x - 3 = 0

Thus let
a = -2kx b =4x c = -3

Sum of roots = -b/a

q+p = -4x/-2kx
2p = 4x/2kx
2p = 2/k
p = 1/k

Product of Roots = c/a

q×p = -3/-2kx
p2 = 3/2kx
(1/k)2 = 3/2kx
1/k2 = 3/2kx
1=3k2/2kx
2x=3k

k = 2x/3


Hope it helps