5, Tìm x, y ϵ Z, sao cho:
a) y = \(\dfrac{6x-4}{2x+3}\) b) \(\dfrac{1}{x}-\dfrac{y}{2}=\dfrac{1}{4}\)
c) xy-3x+2y=5 d) (3x-5)(2x+1)=12
Tìm x, y ϵ Z.
\(\dfrac{4}{x}-\dfrac{y}{2}=\dfrac{1}{4}\)
Tìm x, y ϵ Z.
b) \(\dfrac{1}{x}-\dfrac{y}{2}=\dfrac{1}{4}\)
d) (3x-5)(2x+1)=12
tìm x,y ϵ Z : \(\dfrac{5}{x}+\dfrac{y}{4}=\dfrac{1}{8}\)
Bài 1: Tìm x; y ϵ \(ℤ\)
a) 2x - y\(\sqrt{6}\) = 5 + (x + 1)\(\sqrt{6}\)
b) 5x + y - (2x -1)\(\sqrt{7}\) = y\(\sqrt{7}\) + 2
Bài 2: So sánh M và N
M = \(\dfrac{\dfrac{3}{4}+\dfrac{3}{5}+\dfrac{3}{7}-\dfrac{3}{11}}{\dfrac{6}{4}+\dfrac{6}{5}+\dfrac{6}{7}-\dfrac{6}{11}}\)
N = \(\dfrac{\dfrac{2}{3}+\dfrac{2}{5}-\dfrac{2}{7}-\dfrac{2}{11}}{\dfrac{6}{2}+\dfrac{6}{5}-\dfrac{6}{7}-\dfrac{6}{11}}\)
Bài 3: Chứng minh:
\(\dfrac{1}{2!}+\dfrac{1}{3!}+\dfrac{1}{4!}+...+\dfrac{1}{2023!}< 1\)
tìm x,y,z:
\(\dfrac{4}{x+1}=\dfrac{z}{y-2}=\dfrac{3}{z+2}\) và xyz=12
Tìm x,y,z biết:
a) \(\dfrac{x}{5}=\dfrac{y}{2}\) và \(x-y=9\)
b) \(\dfrac{x-3}{12}=\dfrac{-3}{3-x}\)
c) \(\dfrac{x}{2}=\dfrac{y}{3};\dfrac{y}{5}=\dfrac{z}{4}\) và \(x-y-z=-49\)
Tìm x,y,z biết: \(\dfrac{4}{x+1} =\dfrac{2}{y-2}=\dfrac{3}{z+2} \) và \(xyz=12\)
Tìm x,y,z biết:
a. \(x=\dfrac{y}{6}=\dfrac{z}{3}và2x-3x-4z=24\)
\(b.6x=10y=15z\) và \(x+y-z=90\)
\(c.\dfrac{x-1}{2}=\dfrac{y+3}{4}=\dfrac{z-5}{6}và5z-3x-4y=50\)
\(d.\dfrac{x}{4}=\dfrac{y}{3};\dfrac{y}{5}=\dfrac{z}{3}vàx-y+100=z\)