Question

Let z be a complex number such that |z| + z = 3 + i (where i = √–1) . Then |z| is equal to :
(A) √(34)/3
(B) 5/3
(C) √(41)/4
(D) 5/4

Answer 1

Answer:

l think not option B is write

Answer 2

z| + z = 3 + i

z = 3 - |z| + i

Let 3 - |z| = a

⇒ |z| = (3 - a)

⇒z=a+i

⇒|z|=√a²+1

⇒9+a²−6a=a²+1

⇒a=8/6=4/3

⇒|z|=3−4/3=5/3