Question

Suma a 2 numere naturale e 126, iar produsul lor 3393. Sa se afle suma inverselor acestor numere.

Answer 1

$\rm a+b=126 \\ ab=3393\\------- \\ \\ \\ \frac{1}{a}+ \frac{1}{b} = \frac{b}{ab}+ \frac{a}{ab}= \frac{a+b}{ab}= \frac{126}{3393}= \frac{14}{377} .$

Answer 2

daca x+y=126 si x·y=3393
atunci: 1:x+1:y=x+y:xxy=123:3393=14:377