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Daca a patrat + b patrat - 2a - 4b + 5 = 0. Calculati (b - a) la 2017

Răspuns :

a²+b²-2a-4b+1+4=0
(a-1)²+(b-2)²=0
        ↓
(a-1)²=0 ⇒a=1
(b-2)²=0 ⇒b=2
        ↓
(b-a)²⁰¹⁷=(2-1)²⁰¹⁷=1²⁰¹⁷=1