If z_0= +i , i= -1 , then the roots of the cubic equation x^3-2(1+ )x^2+(4 + ^2+ ^2)x-2( ^2+ ^2)=0 are

JEE Advanced Mathematics question

If , , then the roots of the cubic equation

-2(1+α+(4α+α^2+β^2)x-2(α^2+β^2)=0

are

Answer: (A)

At : , so is a root. Dividing,

-2(1+α+=(x-

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Question ID VK-107972