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if  alpha and beta are zeroes of the perpendicular f(x) =xsquare-x -k such tha alpha - beta=9 find k  
Asked by venugopal.a.madathil | 20 Feb, 2019, 02:02: PM
answered-by-expert Expert Answer
f(x) = x2 -x -k
 
if α and β are the zeroes of f(x), then we have,  
 
α+β = 1  ..................(1)
 
αβ = -k ......................(2)
 
Given : α - β = 9  ........................(3)
 
By solving eqn.(1)  and eqn.(3),  we have α = 5  and β = -4
 
Hence from (2), we get k = 20
Answered by Thiyagarajan K | 20 Feb, 2019, 03:52: PM

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