If x+iy=(a+i)/(a-i) than prove that ay-1=x

1.	If x+iy=(a+i)/(a-i) than prove that ay-1=x
Answer» Rationalise it and after it,we\'ll get a^2 -1+2ai/a^2 +1 and we can write it as a^2 -1/a^2 +1 ➕2ai/a^2 +1 and after comparing X=a^2 -1/a^2+1 and yi = 2ai/a^2 +1 ,,,, after getting values fill it in ay-1=X and get your answer...?

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