If , where and , find the values of and…

MATHEMATICS · Subjective · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If

\frac{x-3}{3+i} + \frac{y-3}{3-i} = i

, where

x, y \in \mathbb{R}

and

i = \sqrt{-1}

, find the values of

x

and

y

.

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