Question

tim cac gia tri nguyen cua x de y nhan gia tri nguyen,biet :y=5x+9/x+3

Answer 1

\(y=\frac{5x+9}{x+3}=\frac{5x+15-6}{x+3}=\frac{5\left(x+3\right)-6}{x+3}=5-\frac{6}{x+3}\)

y nguyên khi \(\frac{6}{x+3}\) nguyên <=> 6 chia hết cho x+3

<=>\(x+3\inƯ\left(6\right)=\){-6;-3;-2;-1;1;2;3;6}

<=> \(x\in\){-9;-6;-5;-4;-2;-1;0;3}