Question

plll;lleaseee help me please

Answer 1

Required Answer

Given :

$\tt \: Z_1 =x+2i \: \: , \: \: Z_2= 1 - iy \: \: \& \: \: Z_1 + Z_2 = 2 + i$

Solution :

$\tt \: Z_1 + Z_2= \bigg(x+2i \bigg)+ \bigg( 1 - iy \bigg) \\ \\ \implies \: \tt \: Z_1 + Z_2= \bigg(x + 1 \bigg)+ i \bigg(2 - y \bigg) \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: }(1) \\ \\ \tt \sharp \: \: \: we \: \: are \: \: given \\ \\ \tt \: Z_1 + Z_2 = 2 + i \underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: }(2) \\ \\ \\ \sharp \: \tt comparing \: \: eq^n \: (1) \: \& \: (2) \\ \\ \\ \tt \begin{array}{c |c} \tt\bigg(x + 1 \bigg) = 2& \tt \bigg(2 - y \bigg) = 1 \\ \\ \\ \therefore \: \bf \: x = 1 & \therefore \bf \: y = 1\end{array} \\ \\ \\ \\ \LARGE \red{ \hearts \: \: \: { \mathfrak{Happy \: \: New \: \: Year \: \: 2021}}} \: \: \: \LARGE\red{ \hearts} \\ \\ \\ \\ \\ \small \tt \colorbox{aqua}{@StayHigh}$