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Determinati numerele naturale de forma ab(barat) , stiind ca suma dintre ab(barat) si ba(barat) este patrat perfect .

Răspuns :

10a+b +10b+a =11(a+b)=n²⇒ a+b=11 dacă, a=2  b=9  29+92 =121 =11²

                                                                        a=3   b=8   38+83=121

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                                                                          a=9   b=2  92 +29=121

RĂSPUNS numerele sunt 29, 38,47,56,65,74,83,92