tìm x biếtx-7 phần 2 nhỏ hơn 0
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\(\dfrac{x}{3}=x+y=20\Rightarrow x=60\Rightarrow60+y=20\Rightarrow y=-40\)
\(\Leftrightarrow\left(x+2\right)^3=343\)
=>x+2=7
hay x=5
\(\Leftrightarrow xy=63\)
\(\Leftrightarrow\left(x,y\right)\in\left\{\left(1;63\right);\left(3;21\right);\left(7;9\right);\left(-63;-1\right);\left(-21;-3\right);\left(-9;-7\right)\right\}\)
\(\left(x+2\right)\left(x+7\right)\le0\)
\(\Rightarrow\hept{\begin{cases}x+2\ge0\\x+7\le0\end{cases}}\) hoặc \(\hept{\begin{cases}x+2\le0\\x+7\ge0\end{cases}}\)
\(\Rightarrow\hept{\begin{cases}x\ge-2\\x\le-7\end{cases}}\) hoặc \(\hept{\begin{cases}x\le-2\\x\ge-7\end{cases}}\)
\(\Rightarrow-7\le x\le-2\)
\(\Rightarrow x\in\left\{-7;-6;-5;-4;-3;-2\right\}\)
\(x=\dfrac{7}{25}+\dfrac{-1}{5}=\dfrac{7}{25}-\dfrac{1}{5}=\dfrac{2}{25}.\\ x=\dfrac{5}{11}+\dfrac{4}{-9}=\dfrac{5}{11}-\dfrac{4}{9}=\dfrac{1}{99}.\\ \dfrac{5}{9}-\dfrac{x}{-1}=\dfrac{-1}{3}\Leftrightarrow\dfrac{5}{9}+x=-\dfrac{1}{3}.\Leftrightarrow x=-\dfrac{8}{9}.\)
\(x=\dfrac{7}{25}+-\dfrac{1}{5}=>\dfrac{7}{25}+-\dfrac{5}{25}=>x=\dfrac{2}{25}\)
\(x=\dfrac{5}{11}+\dfrac{4}{-9}=>\dfrac{-45}{-99}+\dfrac{44}{-99}=>x=\dfrac{-1}{-99}=\dfrac{1}{99}\)
\(\dfrac{5}{9}-\dfrac{x}{-1}=-\dfrac{1}{3}=>-\dfrac{1}{3}-\dfrac{5}{9}=>\dfrac{x}{-1}=-\dfrac{8}{9}=>x=-\dfrac{8}{9}\)
\(\frac{\left(x+2\right)\left(3-x\right)}{7-x}\le0\)
\(\Rightarrow\)\(\hept{\begin{cases}\left(x+2\right)\left(3-x\right)\le0\\7-x>0\end{cases}}\)hoặc \(\hept{\begin{cases}\left(x+2\right)\left(3-x\right)\ge0\\7-x< 0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}3-x\le0\\-x>-7\end{cases}}\) hoặc \(\hept{\begin{cases}3-x\ge0\\-x< -7\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}-x\le-3\\x< 7\end{cases}}\) hoặc \(\hept{\begin{cases}-x\ge-3\\x>7\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x\ge3\\x< 7\end{cases}}\) hoặc \(\hept{\begin{cases}x\le3\\x>7\end{cases}}\)( vô lí)
\(\Rightarrow3\le x< 7\)
vậy \(x\in\left\{3;4;5;6\right\}\)
Ta có: \(x-\frac72<0\)
=>\(x<0+\frac72\)
=>\(x<\frac72\)
\(\frac{x-7}{2}<0\)
\(\Rightarrow x-7<0\)
\(\Rightarrow x<7\)
\(\Rightarrow x\in\left\lbrace6;5;4;3;2;1;0;-1;-2;\ldots\right\rbrace\)
Vậy ....