tìm x biết \(\frac{5}{7}\)>\(\frac{x}{10}>\frac{4}{7}\)
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\(\frac{5}{7}>\frac{X}{10}>\frac{4}{7}\)=>\(\frac{50}{70}>\frac{7X}{70}>\frac{40}{70}\)
=> 50>7X>40
=> \(\frac{50}{7}>X>\frac{40}{7}\)
bạn ơi trả lời được câu này kông
( x + 1 ) + ( x - 3 ) + ( x + 5 ) + ............ + ( x +9) = 35
a) Ta có : \(\frac{x+5}{5}+\frac{x+5}{7}+\frac{x+5}{9}=\frac{x+5}{11}+\frac{x+5}{13}\)
\(\Rightarrow\frac{x+5}{5}+\frac{x+5}{7}+\frac{x+5}{9}-\left(\frac{x+5}{11}+\frac{x+5}{13}\right)=0\)
\(\Rightarrow\frac{x+5}{5}+\frac{x+5}{7}+\frac{x+5}{9}-\frac{x+5}{11}-\frac{x+5}{13}=0\)
\(\Rightarrow\left(x+5\right)\left(\frac{1}{5}+\frac{1}{7}+\frac{1}{9}-\frac{1}{11}-\frac{1}{13}\right)=0\)
Do \(\frac{1}{5}+\frac{1}{7}+\frac{1}{9}-\frac{1}{11}-\frac{1}{13}\ne0\)
\(\Rightarrow x+5=0\Rightarrow x=-5\)
Vậy x = -5
b) Ta có : \(\frac{x+2}{100}+\frac{x+3}{99}+\frac{x+4}{98}=\frac{x+5}{97}+\frac{x+6}{96}+\frac{x+7}{95}\)
\(\Rightarrow\frac{x+2}{100}+\frac{x+3}{99}+\frac{x+4}{98}+3=\frac{x+5}{97}+\frac{x+6}{96}+\frac{x+7}{95}+3\)
\(\Rightarrow\frac{x+2}{100}+1+\frac{x+3}{99}+1+\frac{x+4}{98}+1=\frac{x+5}{97}+1+\frac{x+6}{96}+1+\frac{x+7}{95}+1\)
\(\Rightarrow\frac{x+102}{100}+\frac{x+102}{99}+\frac{x+102}{98}=\frac{x+102}{97}+\frac{x+102}{96}+\frac{x+102}{95}\)
\(\Rightarrow\frac{x+102}{100}+\frac{x+102}{99}+\frac{x+102}{98}-\left(\frac{x+102}{97}+\frac{x+102}{96}+\frac{x+102}{95}\right)=0\)
\(\Rightarrow\frac{x+102}{100}+\frac{x+102}{99}+\frac{x+102}{98}-\frac{x+102}{97}-\frac{x+102}{96}-\frac{x+102}{95}\)
\(\Rightarrow\left(x+102\right)\left(\frac{1}{100}+\frac{1}{99}+\frac{1}{98}-\frac{1}{97}-\frac{1}{96}-\frac{1}{95}\right)=0\)
Do \(\frac{1}{100}+\frac{1}{99}+\frac{1}{98}-\frac{1}{97}-\frac{1}{96}-\frac{1}{95}\ne0\)
\(\Rightarrow x+102=0\Rightarrow x=-102\)
Vậy x = -102
c) Ta có : (x + 2) - (x + 3) = x + 2 - x - 3
= x - x + 2 - 3
= -1
mà (x + 2) - (x + 3) > 0 => không tồn tại x sao cho (x + 2) - (x + 3) > 0
d) Ta có : \(\left(x-5\right)\left(x+\frac{7}{3}\right)\ge0\)
\(\Rightarrow\orbr{\begin{cases}x\ge5\\x\ge\frac{-7}{3}\end{cases}}\)
\(\Rightarrow x\ge\frac{-7}{3}\)
Vậy \(x\ge\frac{-7}{3}\)
a) \(\frac{x}{7}=\frac{5}{y}\left(ĐK:x>y\right)\)
\(\Leftrightarrow5.7=x.y\)
\(\Rightarrow\orbr{\begin{cases}x=7\\y=5\end{cases}}\)(Vì x > y)
b) \(\frac{2}{x}=\frac{x}{-7}\left(ĐK:x>0\right)\)
\(\Leftrightarrow2.\left(-7\right)=x.x\)
\(\Leftrightarrow\left(-14\right)=x^2\)
\(\Rightarrow x=\sqrt{14}\)
a) 3/4 + 1/4 : x = 2/5
1/4 : x = -7/20
x = 1/4 . ( -10/7 )
x = -5/7
P/s: mk làm từng phần
b)
Có 2 t/h xảy ra :
TH1: cả 2 thừa số đều lớn hơn 0
\(\Rightarrow\hept{\begin{cases}x-\frac{2}{5}>0\\x+\frac{3}{7}>0\end{cases}\Rightarrow\hept{\begin{cases}x>\frac{2}{5}\\x>\frac{-3}{7}\end{cases}\Rightarrow}x>\frac{2}{5}}\)
TH2: cả 2 thừa số đều bé hơn 0
\(\Rightarrow\hept{\begin{cases}x-\frac{2}{5}< 0\\x+\frac{3}{7}< 0\end{cases}\Rightarrow\hept{\begin{cases}x< \frac{2}{5}\\x< \frac{-3}{7}\end{cases}\Rightarrow}x< \frac{-3}{7}}\)
Vậy,.......
=>\(\frac{50}{70}>\frac{x.7}{70}>\frac{40}{70}\)
=>x.7\(\in\) {49;48;47;46;45;44;43;42;41}
49;42\(⋮\) x.7
x.7=42
x=42/7=6
x.7=49
x=49/7=7
tk cho minh ha