Question

Fie nr nat x= 20x5la puterea 2015 x2 la puterea 2014 -2017 aratati ca x+2017 este patrat perfect

Answer 1

$20 \times {5}^{2015} \times {2}^{2014} - 2017 \\ \\ {2}^{2} \times 5 \times {5}^{2015} \times {2}^{2014} - 2017 \\ \\ {2}^{2016} \times {5}^{2016} - 2017 \\ \\ {10}^{2016} - 2017$
${( { {10}^{1008} )}^{2} } - 2017 + 2017 = {( {10}^{1008} )}^{2} \\ \\ patrat \: perfect$