Question

If the sum of zeroes of polynomial kx^2+2x+3k is equal to their product then find k

Answer 1

P(x)=kx2+2x+3k

Let the two zeroes be x and y

Then

. x+y= -2/k

And xy= 3k/k=3

Now it is given that

X+y=Xy

-2/k=3

K= -2/3