Q2 of 153 Page 13

Find the real values of x and y, if

(1 + i) (x + i y) = 2 – 5i

Given:


⇒ (1+i)(x+iy)=2-5i


Dividing with 1+i on both sides we get


⇒


Multiplying and dividing with 1-i


⇒


⇒


We know that i2=-1


⇒


⇒


⇒


Equating Real and Imaginary parts on both sides we get


⇒


∴ The real values of x and y are .


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