Find the real values of x and y, if (1 + i) (x + i y) = 2 – 5 i

Question

Philoid · Accepted Answer

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 .