Question

find value of p ,for which 1root of quadratic equation px square-14x +8=0 is 6 times the other.

Answer 1

let the one root be y then other will be 6y . sum of roots = -b/a or 7y=14/p or y=2/p . product of root = 8/p or 6y^2=8/p or putting y value in this we have 24/p^2=8/p or 3/p=1 or p =3 .