Question

5. If x + iy = 2 + 3i then (x,y)will be​

Answer 1

Answer:

Please ask question that can be understand

Answer 2

Answer:

Value of x is 2 and value of y is 3.

Value of (x,y) is (2,3).

Step-by-step explanation:

Given term is $x + iy = 2 + 3i$

This is a problem of Complex number.Here x is the real part and y is the imaginary part and In 2+3i, 2 is the real part and 3 is the imaginary part.

We are comparing both side and get,

$x = 2 \\ y = 3$

So value of x is 2 and value of y is 3.

Here we applied concept of Algebra and Complex number.

Some formulas of Algebra,

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

${a}^{2} - {b}^{2} = (a + b)(a - b)$

${a}^{2} + {b}^{2} = {(a + b)}^{2} - 2ab$

${a}^{2} + {b}^{2} = {(a - b)}^{2} + 2ab$

Formula of Complex numbers,

${i}^{2} = - 1$