tim cap so x,y thoa man:
5x-2canx(2+y)+y^2+1=0
tim cac so m,n,p thoa man : m+n+p+8=2canm-1 + 4cann-2 +6canp-3
tim cac so x,y,z thoa man :canx+cany-1 +canz-2 = 1/2(x+y+z)
tim cac so x,y,z thoa man :x+y+z+4=2canx-2 +4cany-3+6canz-5
5x-2√x(2+y)+y^2+1=0
Tim cap so x,y thoa man dieu kien tren
Giup di lam on.....
a)Tim cap (x,y) nguyen duong thoa man xy=3(y-x)
b)cho 2 so x,y >0 thoa man x+y = 1
Tim GTNN cua M=(x^2+1/y^2)(y^2+1/x^2)
mình biết làm nhưng dài quá bạn tra trên google là đc
Tim cac cap so nguyen x,y thoa man
a) xy-5x+y=17
b) x.(y-2)=3 va x>y
a) \(xy-5x+y=17\)
\(\Leftrightarrow x\left(y-5\right)+y-5=12\)
\(\Leftrightarrow\left(x+1\right)\left(y-5\right)=12\)
\(\Leftrightarrow\left(x+1\right)\inƯ\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)
Ta có bảng sau :
\(x+1\) | \(-12\) | \(-6\) | \(-4\) | \(-3\) | \(-2\) | \(-1\) | \(1\) | \(2\) | \(3\) | \(4\) | \(6\) | \(12\) |
\(x\) | \(-13\) | \(-7\) | \(-5\) | \(-4\) | \(-3\) | \(-2\) | \(0\) | \(1\) | \(2\) | \(3\) | \(5\) | \(11\) |
b) \(x\left(y-2\right)=3\)
\(\Leftrightarrow x\left(y-2\right)=3.1=-1.\left(-3\right)\)
*Trường hợp 1: \(x=3\)
\(\Leftrightarrow y-2=1\)
\(\Leftrightarrow y=1+2\)
\(\Leftrightarrow y=3\)
*Trường hợp 1: \(x=-1\)
\(\Leftrightarrow y-2=-3\)
\(\Leftrightarrow y=-3+2\)
\(\Leftrightarrow y=-2\)
\(\Rightarrow x=-1;y=-2\)
\(xy-5x+y=17\)
\(\Rightarrow x\left(y-5\right)+\left(y-5\right)=17-5\)
\(\Rightarrow\left(x+1\right)\left(y-5\right)=12\)
\(\Rightarrow\left(x+1\right)\left(y-5\right)\inƯ\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)
Ta có các trường hợp
\(TH1:\hept{\begin{cases}x+1=1\\y-5=12\end{cases}\Leftrightarrow\hept{\begin{cases}x=0\\y=17\end{cases}}}\)
\(TH2:\hept{\begin{cases}x+1=-1\\y-5=-12\end{cases}\Leftrightarrow\hept{\begin{cases}x=-2\\y=-7\end{cases}}}\)
\(TH3:\hept{\begin{cases}x+1=2\\y-5=6\end{cases}\Leftrightarrow\hept{\begin{cases}x=1\\y=11\end{cases}}}\)
\(TH4:\hept{\begin{cases}x+1=-2\\y-5=-6\end{cases}\Leftrightarrow\hept{\begin{cases}x=-3\\y=-1\end{cases}}}\)
\(TH5:\hept{\begin{cases}x+1=3\\y-5=4\end{cases}\Leftrightarrow\hept{\begin{cases}x=2\\y=9\end{cases}}}\)
\(TH6:\hept{\begin{cases}x+1=-3\\y-5=-4\end{cases}\Leftrightarrow\hept{\begin{cases}x=-4\\y=1\end{cases}}}\)
\(TH7:\hept{\begin{cases}x+1=12\\y-5=1\end{cases}\Leftrightarrow\hept{\begin{cases}x=11\\y=6\end{cases}}}\)
\(TH8:\hept{\begin{cases}x+1=-12\\y-5=-1\end{cases}\Leftrightarrow\hept{\begin{cases}x=-13\\y=4\end{cases}}}\)
\(TH9:\hept{\begin{cases}x+1=6\\y-5=2\end{cases}\Leftrightarrow\hept{\begin{cases}x=5\\y=7\end{cases}}}\)
\(TH10:\hept{\begin{cases}x+1=-6\\y-5=-2\end{cases}\Leftrightarrow\hept{\begin{cases}x=-7\\y=-3\end{cases}}}\)
\(TH11:\hept{\begin{cases}x+1=4\\y-5=3\end{cases}\Leftrightarrow\hept{\begin{cases}x=3\\y=8\end{cases}}}\)
\(TH12:\hept{\begin{cases}x+1=-4\\y-5=-3\end{cases}\Leftrightarrow\hept{\begin{cases}x=-5\\y=2\end{cases}}}\)
Vậy.......................................
\(x\left(y-2\right)=3\)
\(\Rightarrow x;\left(y-2\right)\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)
Ta có các trường hợp sau:
\(TH1:\hept{\begin{cases}x=1\\y-2=3\end{cases}\Leftrightarrow\hept{\begin{cases}x=1\\y=5\end{cases}\left(loại\right)}}\)
\(TH2:\hept{\begin{cases}x=-1\\y-2=-3\end{cases}\Leftrightarrow\hept{\begin{cases}x=-1\\y-1\end{cases}\left(loại\right)}}\)
\(TH3:\hept{\begin{cases}x=3\\y-2=1\end{cases}\Leftrightarrow\hept{\begin{cases}x=3\\y=3\end{cases}}\left(loại\right)}\)
\(TH4:\hept{\begin{cases}x=-3\\y-2=-3\end{cases}\Leftrightarrow\hept{\begin{cases}x=-3\\y=-1\end{cases}\left(loại\right)}}\)
Vậy.............................
p/s: câu b chưa chắc chắn nha
tim cac cap so nguyen x y thoa man (x+2)2(y-2)+xy^2+26=0
tim cap so nguyen (x;y) thoa man : |x+2| + (y+2)2 = 3 - |x+1|
tim cap so thuc (x,y) thoa man;(x+2y)2=(x+2).(y-1).
tim cap so nguyen (x,y) thoa man: x+y+xy=2
tim cap so nguyen x,y thoa man: |x+4|+|y-2|=3