MathematicsEasy53×since 2002Q3175Let α ,β\alpha \,,\betaα,β be real and z be a complex number. If z2+αz+β=0{z^2} + \alpha z + \beta = 0z2+αz+β=0 has two distinct roots on the line Re z = 1, then it is necessary that :Aβ ∈(−1,0)\beta \, \in ( - 1,0)β∈(−1,0)B∣β ∣=1\left| {\beta \,} \right| = 1∣β∣=1Cβ ∈(1,∞)\beta \, \in (1,\infty )β∈(1,∞)Dβ ∈(0,1)\beta \, \in (0,1)β∈(0,1)Check answerSkip