Question

aflați x,y Nr nat daca: a) x²(y+2)=192 b) x⅔(2y+1)=180 dau coroana ​

Answer 1

$\it x,\ y \in\mathbb{N};\ \ x^2(y+2)=192=64\cdot3=8^2\cdot3 \Rightarrow x=8,\ \ y=1\\ \\ x,\ y \in\mathbb{N};\ \ x^2(y+2)=192=16\cdot12=4^2\cdot12 \Rightarrow x=4,\ \ y=10\\ \\ x,\ y \in\mathbb{N};\ \ x^2(y+2)=192=4\cdot48=8=2^2\cdot48 \Rightarrow x=2,\ \ y=46\\ \\ x,\ y \in\mathbb{N};\ \ x^2(y+2)=192=1\cdot192=1^2\cdot192 \Rightarrow x=1,\ \ y=190$