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 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Physics

Dimensional Analysis

If x,y∈ Q,i...

Question

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

Open in App

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 $x = 3$

$\Rightarrow$ $x + y = 3$

Suggest Corrections

Similar questions

Q. If

(1 - i) x + (1 + i) y = 1 - 3 i,

then

(x, y)

Q. Solve for

x

and

y

where

x

and

y

are real numbers

2 y + i x = 4 + x - i

Q. If

x

and

y

are complex numbers, then system of equations

(1 + i) x + (1 - i) y = 1, 2 i x + 2 y = 1 + i

has

Find the real values of x and y, if

$(i) (x + i y) (2 - 3 i) = 4 + i (i i) (3 x - 2 i y) (2 + i)^{2} = 10 (1 + i) (i i i) \frac{(1 + i) x - 2 i}{3 + i} + \frac{(2 - 3 i) y + i}{3 - i} = i (i v) (1 + i) (x + i y) = 2 - 5 i$

Q. If

\frac{x - 2 + i (y - 3)}{1 + i} = 1 - 3 i

, find

x

and

y

Join BYJU'S Learning Program

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 $x = 3$

$\Rightarrow$ $x + y = 3$