Question

aflati valoare raportului algebric:

x+y
x²y² pentru x= √2-1,y=√2+1

Answer 1

x+y=$\sqrt{2}$-1+$\sqrt{2}$+1
x+y=2$\sqrt{2}$
x*x*y*y=($\sqrt{2}$-1)($\sqrt{2}$-1)($\sqrt{2}$+1)($\sqrt{2}$+1)
folosim formulele de calcul prescurtat (a+b)^2=a^2+2ab+b^2
(2-2$\sqrt{2}$+1)(2+2$\sqrt{2}$+1)
4+4$\sqrt{2}$+2-4$\sqrt{2}$-8-2$\sqrt{2}$+2+2$\sqrt{2}$+1
1