Question

determine x e y E IR, de modo que: ( x + yi ).( 2 + 3i ) = 1 + 8i

Answer 1

( x + yi ).( 2 + 3i ) = 1 + 8i

2.x+3i.x+2.(yi)+(3i).(yi)=1+8i

2x+3xi+2yi+3y.(-1)=1+8i

2x+(3x+2y).i-3y=1+8i

(2x-3y)+(3x+2y).i=1+8.i

2x-3y=1
3x+2y=8

2x-3y=1.(3)
3x+2y=8.(-2)

6x-9y=3
-6x-4y=-16

(6x-6x)-9y-4y=-16+3

0-13x=-13

-13x=-13

x=-13/-13

x=1

2x-3y=1

-3y=1-2.(1)

-3y=1-2

-3y=-1

y=-1/-3

y=1/3

s={1;1/3}

espero ter ajudado!

boa tarde!

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