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Cel mai inteligent răspuns!
2014-05-25T11:11:28+03:00
A+b=2√2   si a·b=2⇒   b=2/a⇒  inlocuim in prima relatie
a+2/a=2√2      ⇒ (a²+2)/a=2√2
a²+2=2√2a
a²-2√2a+2=0
(a-√2)(a-√2)=0
a-√2=0   ⇒ a=√2
b=2/a=2/√2 rationalizam
b=2√2/2      ⇒ b=√2
1/a+1/b=1/√2+1/√2=2/√2=2√2/2=√2
a²+b²=(√2)²+(√2)²=2+2=4
2 5 2