SOLUTION: if the alpha and beta be the zeroes of x2+5x+k where alpha2+beta2=1 find value of k

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Question 883525: if the alpha and beta be the zeroes of x2+5x+k where alpha2+beta2=1 find value of k
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x2%2B5x%2Bk+

%28alpha%2Bbeta%29+=+-b%2Fa+=+-5
%28alpha%29%2A%28beta%29=+c%2Fa+=+k

%28alpha%29%5E2%2B%28beta%29%5E2=1

%28alpha%29%5E2%2B%28beta%29%5E2=%28alpha%2Bbeta%29%5E2+-+2%28alpha%29%2A%28beta%29
1=+%28-5%29%5E2-2%2Ak
1= 25-2k
2k=24
k=12