Question

For what value of “k” will the equation (2kx^2 + kx +3)=0 have equal roots?

Answer 1

hey friend here is your answer

☆ let p be the roots of the given equation then it's second root be also same I.e p
we know that...sum of roots = -b/a
p + p = -k/2k
2p = -k/ 2k
p =-1/4

and also the product of the root = p^2= c/a
p^2=3/2k
(-1/4)^2=3/2k
1/16=3/2k
2k=48

hence k= 24
☺☺this is your answer