http://olm.vn/hoi-dap/question/620011.html
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left|\frac{3}{2}x+\frac{1}{9}\right|+\left|\frac{1}{5}y-\frac{1}{2}\right|=0\)
vì \(\left|\frac{3}{2}x+\frac{1}{9}\right|\ge0;\left|\frac{1}{5}y-\frac{1}{2}\right|\ge0=>\left|\frac{3}{2}x+\frac{1}{9}\right|+\left|\frac{1}{5}y-\frac{1}{2}\right|\ge0\) (với mọi x,y)
Mà \(\left|\frac{3}{2}x+\frac{1}{9}\right|+\left|\frac{1}{5}y-\frac{1}{2}\right|=0\) (theo đề)
Nên \(\left|\frac{3}{2}x+\frac{1}{9}\right|=0=>\frac{3}{2}x=-\frac{1}{9}=>x=-\frac{2}{27}\)
\(\left|\frac{1}{5}y-\frac{1}{2}\right|=0=>\frac{1}{5}y=\frac{1}{2}=>y=\frac{5}{2}\)
Vậy...........
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Đặt \(\frac{x}{2}=\frac{y}{3}=k=>x=2k;y=3k\)
\(=>x.y=2k.3k=6k^2=54=>k^2=9=>k\in\left\{-3;3\right\}\)
+k=-3 , khi đó \(x=2.\left(-3\right)=-6;y=3.\left(-3\right)=-9\)
+k=3,khi đó \(x=2.3=6;y=3.3=9\)
Vậy.............
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
3x-1/2 = 0
3x= 1/2
x= 1/6
và 1/2y + 3/5 =0
1/2y = -3/5
y= -6/5
Vậy x= 1/6 và y = -6/5
\(\left(3x-\frac{1}{2}\right)+\left(\frac{1}{2}y+\frac{3}{5}\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x-\frac{1}{2}=0=\frac{1}{6}\\\frac{1}{2}y+\frac{3}{5}=0=\frac{6}{5}\end{cases}}\)
Vậy ......
![](https://rs.olm.vn/images/avt/0.png?1311)