tim cac so x,y,z thuoc Q biet rang (x+y):(5-z):(y+z):(y+9)=3:1:2:5
tim cac so nguyen nuyen duong x,y,z biet rang :
x^3-y^3 -z^3 =3xyz va x^2 =2(y+z)
Tim cac so nguyen x,y,z biet
x(x+y+z)=-5
y(x+y+z)=9
z(x+y+z)=5
Giải
Ta có : \(\hept{\begin{cases}x\left(x+y+z\right)=-5\\y\left(x+y+z\right)=9\\z\left(x+y+z\right)=5\end{cases}}\Rightarrow x\left(x+y+z\right)+y\left(x+y+z\right)+z\left(x+y+z\right)=-5+9+5\)
\(\Rightarrow\left(x+y+z\right)\left(x+y+z\right)=9\)
\(\Rightarrow\left(x+y+z\right)^2=3^2\)
\(\Rightarrow x+y+z=3\)
\(\Rightarrow\hept{\begin{cases}3x=-5\\3y=9\\3z=5\end{cases}}\Leftrightarrow\hept{\begin{cases}x=\frac{-5}{3}\\y=3\\z=\frac{5}{3}\end{cases}}\)
Mà x , y , z là các số nguyên nên không có nghiệm x , y , z cần tìm
bai 1 tim cac so nguyen x,y biet
a,x/3=7/y b,x/y=-3/11 c,x/y-1=5/-19
bai 2 tim cac so nguyen x,y,z,t biet
12/-6=x/5=-y/3=z/-17=-t/-9
\(a,\frac{x}{3}=\frac{7}{y}\)
\(\Rightarrow x\cdot y=3\cdot7\)
\(\Rightarrow x\cdot y=21\)
\(\Rightarrow x;y\inƯ\left(21\right)=\left\{\pm1;\pm21;\pm3;\pm7\right\}\)
Tim cac so nguyên x,y,z biet
x+y=2,y+z=3,x+z=-5
x= -3
y= 5
z= -2....đúng 100000%
tích cho mk ik mọi người....>.<!!!!
1. tim cac cap so nguyen duong (x, y) sao cho:
2 x3 + xy = 11
2. tim cac cap so nguyen duong (x, y, z)sao cho:
x + y + z = x*y*z
3. tim x thuoc z, biet;
|x| = -2003
|x| = |-2003|
minh dang can gap lam. chieu mai phai nop rui
Tim cac so x,y,z biet rang x:y:z = 12:9:5 va xyz = 20
CAM ON CAC BAN NHE!
\(x:y:z=12:9:5\Rightarrow\dfrac{x}{12}=\dfrac{y}{9}=\dfrac{z}{5}\)
Đặt \(\dfrac{x}{12}=\dfrac{y}{9}=\dfrac{z}{5}=k\)
\(\Rightarrow x=12k;y=9k;z=5k\)
\(\Rightarrow xyz=12k.9k.5k=540k^3\)
\(\Rightarrow540k^3=20\Rightarrow k^3=\dfrac{1}{27}\Leftrightarrow k=\dfrac{1}{3}\)
\(\Leftrightarrow x=12.k=12.\dfrac{1}{3}=4\)
\(\Leftrightarrow y=9.k=9.\dfrac{1}{3}=3\)
\(\Leftrightarrow z=5.k=5.\dfrac{1}{3}=\dfrac{5}{3}\)
Vậy,....
1. tim cac so x,y,z biet rang 1/2x=2/3y=3/4zva x-y=15
Tim so tu nhien x, biet rang tong cac chu so chua x bang y, tong cac chu so cua y bang z va x+y+z =60
Tim cac so x,y,z biet x/y=9/7; y/2=7/3 va x-y+z=-15