1.

If one zero of the polynomial `2x^2-5x -(2k + 1)` is twice the other, then find both the zeroes of the polynomial and the value of `k`

Answer» eqn= `2x^2-5x-(2k+1)`
let one root be `alpha` then other root is `2alpha`.
sum of roots=`3alpha=5/2`
`alpha=5/6`
`2alpha=5/3`
product of roots=`25/18=(-2k-1)/2`
=`25/9=-2k-1`
=k=`-17/9`


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