What is the answer to x+yi=(3+i)(2-3i) ?

The answer to x+yi=(3+i)(2-3i) is x=9,y=-7

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x+yi=(3+i)(2-3i)

x + y i = (3 + i) (2 - 3 i)

x = 9, y = - 7

Solution steps

x + y i = (3 + i) (2 - 3 i)

Simplify

(3 + i) (2 - 3 i) : 9 - 7 i

x + y i = 9 - 7 i

Complex numbers can be equal only if their real and imaginary parts are equalRewrite as system of equations:

[x = 9 y = - 7]

[x = 9 y = - 7] : x = 9, y = - 7

x = 9, y = - 7

z^{2} - 4 i z - 6 = 0

z^{2} - (3 - 2 i) z + (5 - i) = 0

x + y i = (1 - i) (2 + 8 i)

2 (a + ib) + (3 + i) (a - ib) = 4 - i

1 = ai + b

What is the answer to x+yi=(3+i)(2-3i) ?
The answer to x+yi=(3+i)(2-3i) is x=9,y=-7