Question

heyy! cat face( a+b) totul la a 2a? daca a+b=10. SI problema II. 3x+2/2x+3 apartine naturalelor.det multimea .

Answer 1

$1) \\\\ (a+b)^2\to 10^2=\boxed{100} \\\\ 2) \\\\ \frac{3x+2}{2x+3} \in N \ \ => (2x+3)|(3x+2) \\\\\\ (2x+3)|2(3x+2) \\ (2x+3)|(6x+4) \\\\ (2x+3)|(2x+3) \\\\ (2x+3)|3(2x+3) \\ (2x+3)|(6x+9) \\\\\\ (2x+3)|6x+9-6x+4 \\\\ (2x+3)|5 \\\\ 2x+3 \in \{ 1;5 \} \\\\\\ 1) 2x+3=1 <=> 2x= -2 \to x=-1 \\\\ 2)2x+3=5 <=>2x=2 \to\boxed{x=1} \\\\\\ \boxed{\boxed{S \in \{1 \}}}$