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Questions 7.................................................soln. 
8 months ago

Answers : (1)

Aditya Gupta
1934 Points
hello pushkar this is an easy ques.
first find alpha+beta and alpha*beta from first eqn.
from second eqn, find alpha1 + (-beta) and alpha1*(-beta) and hence alpha1 – beta and alpha1*beta.
so alpha + alpha1 can be found by adding alpha+beta and alpha1 – beta. now for alpha*alpha1, we first multiply alpha*beta and alpha1*beta to obtain alpha*alpha1*beta^2, and then write beta^2 in terms of given constants. the method to do so is to simply put beta in the first quad eqn and – beta in second quad eqn. hence we obtain two eqns, from which we eliminate beta term to obtain beta^2. once done, the reqd eqn is simply 
x^2 – (alpha + alpha1)x + alpha*alpha1= 0
note that the calculations are quite lengthy and hence cannot be typed here in entirety.
kindly approve :)
7 months ago
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