Answer :

Given:


x=-1+i


x+1=i


(x+1)4=(i)4


x4+4x3+6x2+4x+1=2i4


We know that i2=-1


x4+4x3+6x2+4x+1=2(-1)2


x4+4x3+6x2+4x+1=2


x4+4x3+6x2+4x+1+8=2+8


x4+4x3+6x2+4x+9=10


x4+4x3+6x2+4x+9=10


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