Aratati ca numarul
a=2017+2 .-ori (1+2+......+2016) este patrat perfect


Răspuns :

a = 2017 + 2 × (1 + 2 + ... + 2016)

a = 2017 + 2 × 2016 × (2016 + 1) : 2

a = 2017 + 2 × 2016 × 2017 : 2

a = 2017 + 2016 × 2017

a = 2017 × ( 1 + 2016)

a = 2017 × 2017

a = 2017^2 patrat perfect
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