For what value of `k` will the equation ($2kx^2$ + 5kx +2)=0 have equal roots?
2/7
9/4
16/25
7/1
Explanation:
For the roots to be equal, $b^2$-4ac = 0 is the condition.
Here, from the equation,
a=2k, b=5k and c=2
=> $(5k)^2$-4(2k) (2) =0
=> $25k^2$-16k=0
=> k(25k-16) =0
=> k=16/25.