Question

Enumerati elementele mulțimilor va rog urgent dau coroana!!

Answer 1

Răspuns:

G={-18;-6;-4;8} H={2021}

Explicație pas cu pas:

$\frac{2x - 3}{x + 5} = \frac{2x + 10 - 13}{x + 5} = 2 - \frac{13}{x + 5} \: nr \: intreg$

deci (x+5) | 13, deci x+5€{-13;-1;1;13} deci x poate fi =-18;-6;-4;8

G={-18;-6;-4;8}

(1+2+3+...+2021)×2=(2021×2022/2)×2=2021×2022

x²+x=x(x+1), deci x=2021 (x€N)

ar mai exista si solutia -2022×(-2021)=2021×2022, dar in acest caz x=-2022 nu e natural

deci H={2021}