naheedakhanjadoon naheedakhanjadoon
  • 09-04-2022
  • Mathematics
contestada

(1+i)^2(x+yi)=4+5i
Solve for x and y

Respuesta :

jasongggg
jasongggg jasongggg
  • 09-04-2022

Answer:

x = 5/2

y = -2

Step-by-step explanation:

(1+i)² (x+yi) = 4+5i

(1+2i+i²)(x+yi) = 4+5i

(1+2i-1)(x+yi) = 4+5i

2i(x+yi) = 4+5i

2i²y + 2xi = 4+5i

-2y + 2xi = 4 + 5i

By comparing both sides,

-2y = 4

y = -2,

2x = 5

x = 5/2

Answer Link

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