Bài 2: Tìm x, y biết :

a) \(\left(3x-\frac{y}{5}\right)^2+\left(2y+\frac{3}{7}\right)^2=0\)

b) \(\left(x+y-\frac{1}{4}\right)^2+\left(x-y+\frac{1}{5}\right)^2=0\)

tìm x và y 

a) \(\left(x-1\right)^2+\left(y+3\right)^2=0\)

b) \(2\left(x-5\right)^4+5\left|2y-7\right|^5=0\)

c) \(3\left(x-2y\right)^{2004}+4\left|y+\frac{1}{2}\right|=0\)

d) \(\left|x+3y-1\right|+\left(2y-\frac{1}{2}\right)^{2000}=0\)

1) Tìm GTNN của \(B=2\left(\frac{x^2}{y^2}+\frac{y^2}{x^2}\right)-5\left(\frac{x}{y}+\frac{y}{x}\right)\\ \left(x,y>0\right)\)

2) Tìm GTLN và GTNN của \(C=\frac{\left(x^2-y^2\right)\left(1-x^2y^2\right)}{\left(1+x^2\right)^2\left(1+y^2\right)^2}\)

Cho \(\left(x^2+y+\frac{3}{4}\right)\left(y^2+x+\frac{3}{4}\right)=\left(2x+\frac{1}{2}\right)\left(2y+\frac{1}{2}\right)\). Tìm x,y>0 

1Tìm \(\frac{a}{b}\) biet \(\frac{a+50}{b-112}\)

 2 cho x-y-z=0 tính \(\left(1-\frac{z}{x}\right)\left(1-\frac{x}{z}\right)\left(1+\frac{y}{x}\right)\)

3 tìm x;y \(\frac{2x-4}{3y-5}=\frac{4}{5}\left(y>0\right)\)

4 tìm m để \(\frac{2m+9}{14m+62}\)  tối giản

5 tìm A=x+2y+3z biết \(\left(x+2y\right)^2+\left(y-1\right)^2+\left(x-z\right)^2=0\)

Tìm x,y > 0 sao cho: 

\(\left(x^2+y+\frac{3}{4}\right).\left(y^2+x+\frac{3}{4}\right)=\left(2x+\frac{1}{2}\right).\left(2y+\frac{1}{2}\right)\)

Biết \(0< x\le y\)và \(\left(\frac{\left(\sqrt{x}+\sqrt{y}\right)^2+\left(\sqrt{x}-\sqrt{y}\right)^2}{\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{x}-\sqrt{y}\right)+2\left(x+2y\right)}\right)+\left(\frac{y}{\sqrt{x}\left(\sqrt{x}+\sqrt{y}\right)}+\frac{x}{\sqrt{y}\left(\sqrt{x}+\sqrt{y}\right)}\right)=\frac{5}{3}\)

Tính \(\frac{x}{y}\)

Tìm x biết

a)\(\frac{x+1}{x-4}>0\)

b)\(\left|x+\frac{3}{4}\right|+\left|y-\frac{1}{5}\right|+\left|x+y+z\right|=0\)

c)\(\left(x+2\right)\left(x-3\right)< 0\)

d)\(\left|x+\frac{3}{4}\right|+\left|y-\frac{2}{5}\right|+\left|z+\frac{1}{2}\right|\le0\)