Find the real numbers `x and y ,`if `(x-i y)(3+5i)`is the conjugate of

1.	Find the real numbers `x and y ,`if `(x-i y)(3+5i)`is the conjugate of `-6-24 i`
Answer» Correct Answer - ` x = 3, y=-3` Let `z = (x-iy) (3+5i)` `=3x + 5xi - 3yi - 5yi^(2)` `= (3x + 5y)+i(5x -3y)` `therefore barz = (3x + 5y) - i(5x - 3y)` It is given that ,`barz = - 6- 24i` Equating real and imaginary parts, we get ` 3x + 5y = -6` `5x -3y = 24` Sloving we get `x = 3, y = -3`

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Find the real numbers `x and y ,`if `(x-i y)(3+5i)`is the conjugate of `-6-24 i`

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