Math, asked by MinnuAngel, 3 months ago

solve
6 + 2i /1 + i​

Answers

Answered by ashishsharma1051
1

Answer:

6+2i/1+I ×1-i/1-i

4+8i/2

2+4i


MinnuAngel: is this answer 2-4i or 2+4i
MinnuAngel: please give an another answer
ashishsharma1051: its 2 + 4i
ashishsharma1051: do you want answer in detail ?
MinnuAngel: yes
ashishsharma1051: ok wait a sec..
MinnuAngel: ok
ashishsharma1051: 6 + 2I / 1 + i = 6+2i / 1 + I × 1 - I/ 1 - I = 6 + 6i +2i -2 / 2 = 4 + 8I / 2 = 2 + 4i
MinnuAngel: thank you
ashishsharma1051: N.P
Answered by mathdude500
1

\begin{gathered}\Large{\bold{\pink{\underline{Formula \:  Used \::}}}}  \end{gathered}

\longrightarrow \:(1). \:  \boxed{ \red{\tt \:   {i}^{2}  =  - 1}}

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\large\underline\purple{\bold{Solution :-  }}

\tt \:   \longrightarrow \:\dfrac{6 + 2i}{1 + i}

\tt \:   \longrightarrow \:\dfrac{6 + 2i}{1 + i}  \times \dfrac{1 - i}{1 - i}

\tt \:   \longrightarrow \:\dfrac{6 - 6i + 2i -  {2i}^{2} }{ {1}^{2}  -  {i}^{2} }

\tt \:   \longrightarrow \:\dfrac{6 - 4i + 2}{1 + 1}

\tt \:   \longrightarrow \:\dfrac{8 - 4i}{2}

\tt \:   \longrightarrow \:4 - 2i

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