Question

Aflati a si b stiind ca (a+b)(i+1) = (a-b+1)(i-1) , unde i^2 = -1 .

Answer 1

(a+b)(i+1)=(a-b+1)(i-1) ;

Efectuam inmultirea:

ai+a+bi+b=ai-bi+i-a+b-1;

ai-ai+2bi=-a-b-a+i-1+b;

2bi=-2a+i+1;

1=2a;
2bi=i;
b=1/2;
a=1/2;