InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
if `alpha , beta ` be roots of `x^2-3x+a=0` and `gamma , delta ` are roots of `x^2-12x+b=0` and `alpha,beta,gamma,delta`(in order) form a increasing GP then find the value of `a & b` |
|
Answer» ` alpha, beta,gamma ,delta ` are in GP so assume them to be `a,ar,ar^2,ar^3`where a is the first term and r common ratio .also`alpha +beta=a+ar=3`...(1) and `gamma+delta=ar^2+ar^3=12`...(2) dividing (2) by(1) we get=>`r^2=4,r=2` from(1) we get a=1 thus by product of roots formula we get =>`a^2r=A=2` =>`a^2r^5=B=32` |
|