Question

Determinați numarul natural ab in baza zece stiind ca numarul ab+ba (in baza zece) este patrat perfect. Am nevoie de ajutor urgent dau 10 puncte + coroana.

Answer 1

ab+ba=10a+b+10b+a=11a+11b=11(a+b)

11(a+b) e patrat perfect => a+b=11

ab={29, 38, 47, 56, 65, 74, 83, 92}

Answer 2

ab + ba = 10a + b + 10b + a = 11a + 11b = 11(a+b)

11(a + b) e patrat perfect ⇒ a+b=11

ab = {29, 38, 47, 56, 65, 74, 83, 92}