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a: \(\Leftrightarrow x^2=\dfrac{-5}{2}\cdot\dfrac{-10}{9}=\dfrac{50}{18}=\dfrac{25}{9}\)
=>x=5/3hoặc x=-5/3
c: \(\Leftrightarrow4\left(x-\dfrac{5}{8}\right)=\dfrac{1}{4}+\dfrac{3}{4}=1\)
=>x-5/8=1/4
hay x=2/8+5/8=7/8
d: \(\Leftrightarrow\left|x-3\right|=\dfrac{2}{5}+\dfrac{3}{5}=1\)
=>x-3=1 hoặc x-3=-1
=>x=4 hoặc x=2
e: =>1-1/2x=-3
=>1/2x=4
hay x=8
\(xy+x^2+x+y=\)\(3\)
\(x\left(y+x\right)+\left(x+y\right)=3\)
\(\left(x+1\right)\left(y+x\right)=3\)
Mà Ư(3)={-1;1;-3;3}
Ta có bảng sau:
\(y+x\) | \(-1\) | \(-3\) | \(1\) | \(3\) |
\(x+1\) | \(-3\) | \(-1\) | \(3\) | \(1\) |
\(x\) | \(-4\) | \(-2\) | \(2\) | \(0\) |
\(y\) | \(3\) | \(-1\) | \(-1\) | \(3\) |
Vậy các cặp (x,y)là (-4;3),(-2;-1),(2;-1);(0;3)
tk mk nha
a)\(\dfrac{1}{x}+\dfrac{1}{y}\) =1
\(\Rightarrow\dfrac{y}{xy}+\dfrac{x}{xy}=\dfrac{xy}{xy}\)
\(\Rightarrow y+x=xy\)
\(\Rightarrow xy-x-y=0\)
đẻ thỏa mãn trường hớp trên suy ra cặp giá trị của( x ,y) sẻ là (1,1);(2,2)
\(\left(x+1,5-\dfrac{3}{7}\right):\dfrac{1}{2}=1\dfrac{1}{7}\)
=> \(\left(x+\dfrac{3}{2}-\dfrac{3}{7}\right).2=\dfrac{8}{7}\)
=> \(x+\dfrac{3}{2}-\dfrac{3}{7}=\dfrac{8}{7}.\dfrac{1}{2}\)
=> \(x+\dfrac{21}{14}-\dfrac{6}{14}=\dfrac{8}{14}\)
=> x=\(\dfrac{8}{14}+\dfrac{6}{14}-\dfrac{21}{14}\)
=> x=\(\dfrac{-7}{14}=-\dfrac{1}{2}\)
vậy x=-\(\dfrac{1}{2}\)
a) ta co:
1/18<x/12<y/9<1/4
=>2/36<x.3/36<y.4/36<9/36
=>x.3thuộc{3;6};y.4thuộc{4;8}
=>x thuộc{1;2};y thuộc{1:2}
b) ta co
7/8<x/40<9/10
=>70/80<x.2/40<72/80
=>x.2 =71
=>x=71/2
Tacó :
B = \(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+....+\dfrac{1}{9^2}\) \(\Rightarrow\)Đặt D=\(\dfrac{1}{2\cdot3}+\dfrac{1}{3\cdot4}+...+\dfrac{1}{8\cdot9}+\dfrac{1}{9\cdot10}\)<B
\(\Rightarrow\)D= \(\dfrac{1}{2}-\dfrac{1}{2}+\dfrac{1}{3}-.....+\dfrac{1}{9}-\dfrac{1}{10}\) \(\Rightarrow D=\dfrac{1}{2}-\dfrac{1}{10}\)
\(\Rightarrow D=\dfrac{2}{5}\)
Vì D =\(\dfrac{2}{5}\) =\(\dfrac{2}{5}\)
mà D<B
\(\Rightarrow\)B>\(\dfrac{2}{5}\)(dpcm)
tuyệt đói ko chép mạng thề 100%
Anh làm lại câu b)
\(\left(4,5-200\%x\right).1\dfrac{4}{7}=\dfrac{11}{14}\\ < =>\left(\dfrac{9}{2}-2x\right).\dfrac{11}{7}=\dfrac{11}{14}\\ =>\dfrac{9}{2}-2x=\dfrac{\dfrac{11}{14}}{\dfrac{11}{7}}=\dfrac{1}{2}\\ =>2x=\dfrac{9}{2}-\dfrac{1}{2}=4\\ =>x=\dfrac{4}{2}=2\)
a, \(3x+\dfrac{1}{8}=2\dfrac{3}{4}\\ < =>3x+\dfrac{1}{8}=\dfrac{11}{4}\\ =>3x=\dfrac{11}{4}-\dfrac{1}{8}=\dfrac{21}{8}\\ =>x=\dfrac{\dfrac{21}{8}}{3}=\dfrac{7}{8}\)
b, \(\left(4,5-200\%x\right).1\dfrac{4}{7}=\dfrac{11}{14}\\ < =>\left(4,5-2x\right).\dfrac{11}{7}=\dfrac{11}{4}\\ =>4,5-2x=\dfrac{11}{4}:\dfrac{11}{7}=\dfrac{7}{4}\\ =>2x=4,5-\dfrac{7}{4}=\dfrac{11}{4}\\ =>x=\dfrac{\dfrac{11}{4}}{2}=\dfrac{11}{8}\)
\(\frac{-24}{12}=\frac{x}{5}=\frac{-y}{3}=\frac{-z}{17}=\frac{t}{9}\)
\(\Rightarrow\frac{-24}{12}=\frac{x}{5}\Rightarrow12.x=-120\Rightarrow x=-10\)
\(\Rightarrow\frac{-24}{12}=\frac{-y}{3}\Rightarrow-12.y=-72\Rightarrow y=6\)
\(\frac{-24}{12}=\frac{-z}{17}\Rightarrow-12.z=-408\Rightarrow z=34\)
\(\Rightarrow\frac{-24}{12}=\frac{t}{9}\Rightarrow12.t=-216\Rightarrow t=-18\)
VẬY \(x=-10;y=6;z=34;t=-18\)
\(\dfrac{x}{24}=102\)
Vậy x gấp 102 lần 24
=> \(x=24.102=2448\)