Math, asked by Vinitgohar, 7 months ago

If x+iy = (3+i5)/(7-i6) then find the value of x and y​

Answers

Answered by gamerpubgapex
2

Answer:

(x−iy)(3+5i)=(3x+5y)+i(5x−3y)

It is given that (x−iy)(3+5i) is the conjugate of −6−24i

.

(x−iy)(3+5i)=

−6−24i

(3x+5y)+i(5x−3y)=−6+24i

3x+5y=−6 and 5x−3y=24

Solving these equations, we get, x=3 and y=−3.

Answered by samikshashishupal
0

Answer:

x=3 and y=−3

Step-by-step explanation:

(x−iy)(3+5i)=(3x+5y)+i(5x−3y)

It is given that (x−iy)(3+5i) is the conjugate of −6−24i

.

(x−iy)(3+5i)=  

−6−24i

 

(3x+5y)+i(5x−3y)=−6+24i

3x+5y=−6 and 5x−3y=24

Solving these equations, we get, x=3 and y=−3.

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