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Grade 11Algebra

let alpha and beta be real and z be a complex number. if z^2+alpha Z+ beta=0 has 2 disntinct roots on the line Re(z)=1,then it is necessary that,

Profile image of TARUN
8 Years agoGrade 11
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1 Answer

Profile image of Red
8 Years ago
Let z1=p+iq and z2=p-iq, as its roots are complex so they are conjugate.Z1+ z2=-alpha2p=-alpha....(1)Real part of z is 1,p=1.Alpha =-2.D1