find all the complex number z satisfying equation

For câ‰¥1,find all the complex number z satisfying z+c lz+1l+i=0

2 Answers

If you can observe,

clearly , z is of the form a-i where a is a real number

Now finish the rest?

Ans:
If c=1,z=-1
If 1<c<√2,z=-c²Â±c√2-c²(c²-1)
If c>√2,No solution

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