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PDF-WeclaimthatamongallsuchpairsinS,thereexistsapair(a;b)suchthatb=0andk=a

PDF-WeclaimthatamongallsuchpairsinS,thereexistsapair(a;b)suchthatb=0andk=a

Author : trish-goza | Published Date : 2017-01-24

xB1kwhichisequivalenttox2kBxB2k0asaquadraticequationinxWeknowthatx1AisonerootofthisequationByVietasformulatheotherrootofthisequationisx2kBAB2k AThe rstequationimpliesthatx2isanintege

xB+1=k;whichisequivalenttox2kBx+B2k=0asaquadraticequationinx.Weknowthatx1=Aisonerootofthisequation.ByVieta'sformula theotherrootofthisequationisx2=kBA=B2k A:The rstequationimpliesthatx2isanintege

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WeclaimthatamongallsuchpairsinS,thereexistsapair(a;b)suchthatb=0andk=a: Transcript

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