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

Otras preguntas

log3(2x-5)=2 Answer is 41/2.  Why?
Why are some examples of a chemical reaction not actually foolproof evidence that of a chemical reaction?13, 8th grade, and I'm doing my science lab report: The
(−2x0y3 )(4x2y4 )+(2y5 )(3xy)2
who was the first president of the united states of america
add and simplify  9/16=1/2=?
add and simplify  9/16=1/2=?
log3(2x-5)=2 Answer is 41/2.  Why?
Why are some examples of a chemical reaction not actually foolproof evidence that of a chemical reaction?13, 8th grade, and I'm doing my science lab report: The
vesicles that contain a cells digestive enzymes are called ?
Why are some examples of a chemical reaction not actually foolproof evidence that of a chemical reaction?13, 8th grade, and I'm doing my science lab report: The