Question

X=?
Y=2
a. (1+3i) (x + yi ) = 1​

Answer 1

Răspuns:

x= 1/10

y= - 3/10

Explicație pas cu pas:

x+yi+3xi+3i²y=1 =>

=> x+yi+3xi+3×(-1)y=1 =>

=> x+yi+3xi-3y=1 =>

=> x-3y+yi+3xi=1 =>

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

=> {x-3y=1

{y+3x=0 =>

=> {x-3y=1

{3x+y=0 =>

=> {-3x+9y=-3

{3x+y=0 =>

=> 10y=-3 =>

=> y=- 3/10 =>

=> 3x-3/10=0 =>

=> x=1/10 =>

=> x=1/10

y=- 3/10