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Grade 1010 grade maths

If alfa, beta are the zeroes of (x-l)(x-m)-n, prove that l,m are zeroes of (x-alpha)(x-beta)+n

Profile image of Malyarpita Singh
7 Years agoGrade 10
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer7 Years ago
Dear student
 
(x - alpha) (x - beta) = (x-l) (x-m) -n
 
Now
 
(x- alpha) (x- beta) +n = (x-l) (x-m)
 
Hence l and m are roots