# Complex problem on complex numbers!

If a complex number z satisfies the equation $$z + \sqrt{2}|z+1| + i = 0$$ , then |z| is equal to (where i is the imaginary number) a) 1 b) 2 c) $$\sqrt{5}$$ d) $$\sqrt{3}$$

Note by Srujana Rao Yarasi
5 years, 4 months ago

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i think the answer is $$\sqrt{5}$$

- 5 years, 4 months ago

the complex number must be of the form a-i where a is any real number now put it in the eqn n sove for d value of a n get mod z...

- 5 years, 4 months ago

The thing is...I solved this question some time back and I got $$\sqrt(5)$$ as the answer...But now I'm totally stumped!!How did you do it?

- 5 years, 4 months ago

That is pretty straightforward. Since the equation is simple, so we can substitute z= x + iy and express L.H.S as a + ib and compare it with R.H.S i.e 0 + i0 .

- 5 years, 4 months ago