If x-y- Q-i-1 and - x2-9 -ey-ix-2y-3i x-y-

π ( x^2 9 )+ey+ix=2y+3i #160; ⇒ #160; #160;π ( x^2 9 )+ey=2y and x=3 ⇒ #160; #160; ey = 2y and x = 3 ⇒ #160 ...

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Byju's Answer

Standard XII

Physics

Dimensional Analysis

If x,y∈ Q,i...

Question

If $x, y \in Q, i = \sqrt{- 1}$ and $π (x^{2} - 9) + e y + i x = 2 y + 3 i$
$x + y =$

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Solution

$π (x^{2} - 9) + e y + i x = 2 y + 3 i$

$\Rightarrow π (x^{2} - 9) + e y = 2 y$ and $x = 3$
$\Rightarrow$ $e y = 2 y$ and $x = 3$

$\Rightarrow (e - 2) y = 0$ and $x = 3$

$\Rightarrow$ $y = 0$ and $x = 3$

$\Rightarrow$ $x + y = 3$

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If x,y∈Q,i=√−1 and π(x2−9)+ey+ix=2y+3i x+y=

π(x2−9)+ey+ix=2y+3i ⇒π(x2−9)+ey=2y and x=3⇒ ey=2y and x=3⇒(e−2)y=0 and x=3⇒ y=0 and x=3⇒ x+y=3

If $x, y \in Q, i = \sqrt{- 1}$ and $π (x^{2} - 9) + e y + i x = 2 y + 3 i$
$x + y =$

$π (x^{2} - 9) + e y + i x = 2 y + 3 i$

$\Rightarrow π (x^{2} - 9) + e y = 2 y$ and $x = 3$
$\Rightarrow$ $e y = 2 y$ and $x = 3$

$\Rightarrow (e - 2) y = 0$ and $x = 3$

$\Rightarrow$ $y = 0$ and $x = 3$

$\Rightarrow$ $x + y = 3$