áp dụng tính chất của dãy tỉ số bằng nhau ta có:
\(\frac{x}{2}=\frac{y}{3}=\frac{x+y}{2+3}=\frac{4}{5}\)
suy ra:
\(\frac{x}{2}=\frac{4}{5}\Rightarrow x=2.\frac{4}{5}=\frac{8}{5}\)
\(\frac{y}{3}=\frac{4}{5}\Rightarrow y=3.\frac{4}{5}=\frac{12}{5}\)
tinh nhanh gia tri cua bieu thuc voi x,y nhan bat ki gia tri nao:
\(\frac{1}{3}x^2y\left(3xy\right)^2y^4+\frac{1}{2}x\left(-2xy\right)^3y^4+x^4y^7+18\)
cho \(\frac{x}{3}=\frac{y}{4}=\frac{z}{5}\)
tinh gia tri cua bieu thuc B=\(\frac{x+y-z}{x+2y-z}\)
tinh gia tri bieu thuc dai so x2 y3 +xytai x =1 va y =\(\frac{1}{2}\)
ai tra loi nhanh va dung nhat thi toi se tick cho toi co den 10nick lan
c1: Tap hop cac gia tri nguyen cua x thoa man \(\left(x+\frac{5}{4}\right)\left(x-\frac{19}{7}\right)\)<0
c2: Neu x,y la cac so nguyen thoa man 2xy+4y=6 thi y co the nhan nhung gia tri nam trong tap hop nao
c3: tim 3 so x,y,z biet x+y=8,x+z=10,y+z=12
C4: Gia tri cua x thoa man (x+3)^2=25 va x^3>0 la x=
1) A= \(\frac{\frac{3}{4}-\frac{3}{11}+\frac{3}{13}}{\frac{5}{7}-\frac{5}{11}+\frac{5}{13}}+\frac{\frac{1}{2}-\frac{1}{3}+\frac{1}{4}}{\frac{5}{4}-\frac{5}{6}+\frac{5}{8}}\)
b) Cho 3 so x,y,z la 3 so khac 0 thoa man dieu kien :
\(\frac{y+z-x}{x}=\frac{z+x-y}{y}=\frac{x+y-z}{z}\)
Hay tinh gia tri bieu thuc:\(B=\left(1+\frac{x}{y}\right)\left(1+\frac{y}{z}\right)\left(1+\frac{z}{x}\right)\)
Cho hai dai luong ti le nghịch x va y: x1, x2 la hai gia tri bat ki cua x; y1, y2 la hai gia tri tuong ung cua y. Tinh y1^2 + y2^2=52 va x1=2, x2=3
cho x va y la hai dai luong ti le thuan.x1 va x2 la 2 gia tri khac nhau cua x, y1 va y2 la 2 gia tri tuong ung cua y biet 2y1 + 3x1=20,x2=-6,y2=3. tinh x1 va y1
Cho biet dai luong x va y ti le nghich voi nhau va khi x bang -5 thi y =-12
A. Tim he so ti le va bieu dien y thao x
B. Tinh gia tri cua y khi x =-10 va tinh gia tri cua x khi y =-15
cho biet xyz=1.tinh gia tri cua A=\(\frac{x}{xy+x+1}+\frac{y}{yz+y+1}+\frac{z}{xz+z+1}\)
