if x+iy = 3+5i/ 7-6i then y=
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(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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