Question

z√2-z=1+√2
Aflati z din aceasta ecuatie

Answer 1

Z√2-Z=1+√2

Z(√2-1)=1+√2

Z=(1+√2)/(√2-1)

Z= -(1+√2)/(1-√2)   rationalizam numitorul

Z= -  (1+√2)² / (1+√2)(1-√2)  = -(1+√2)² / (1-2)= - (1 +√2)² (-1)=(1+√2)²