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Bài 1: Tìm x, biết
a) (x + 12). (x - 3) = 0
\(\Leftrightarrow\left[\begin{matrix}x+12=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=-12\\x=3\end{matrix}\right.\)
Vậy: \(x=-12;3\)
b) (- x + 5).(3 - x) = 0
\(\Leftrightarrow\left[\begin{matrix}-x+5=0\\3-x=0\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=5\\x=3\end{matrix}\right.\)
Vậy: \(x=3;5\)
c)x.(2 + x).(7 - x) = 0
\(\Leftrightarrow\left[\begin{matrix}x=0\\2+x=0\\7-x=0\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=0\\x=-2\\x=7\end{matrix}\right.\)
Vậy: \(x=-2;0;7\)
Chúc bạn học tốt!!!
Bài 2:Tính nhanh
a) -183+127-117+103
\(=-183+103+127-117\)
\(=-80+10\)
\(=-70\)
b) 49-(187-51)+(-13+100)
\(=49-187+51-13+100\)
\(=49+51-187-13+100\)
\(=100-200+100\)
\(=100+100-200=0\)
c) 874.167-874.200+33.875
\(=874.\left(167-200\right)+33.875\)
\(=874.-33+33.875\)
\(=-33\left(874-875\right)\)
\(=-33.-1=33\)
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| x - 2 | = 3x + 7
\(\Rightarrow\orbr{\begin{cases}x-2=3x+7\\x-2=-\left(3x+7\right)\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-2=3x+7\\x-2=-3x-7\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x-3x=7+2\\x+3x=-7+2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}-2x=9\\4x=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-9}{2}\\x=\frac{-5}{4}\end{cases}}\)
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(2,5x - 4/3)2 - 5/6 = -7/18
=> (2,5x - 4/3)2 = -7/18 + 5/6
=> (2,5x - 4/3)2 = 4/9
=> (2,5x - 4/3)2 = (2/3)2
=> \(\orbr{\begin{cases}2,5x-\frac{4}{3}=\frac{2}{3}\\2,5x-\frac{4}{3}=-\frac{2}{3}\end{cases}}\)
=> \(\orbr{\begin{cases}x=\frac{4}{5}\\x=\frac{4}{15}\end{cases}}\)
\(\left(2,5x-\frac{4}{3}\right)^2-\frac{5}{6}=-\frac{7}{18}\)
\(\left(2,5x-\frac{4}{3}\right)^2=-\frac{7}{18}+\frac{5}{6}\)
\(\left(2,5x-\frac{4}{3}\right)^2=\frac{4}{9}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{4}{5}\\x=\frac{4}{15}\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\dfrac{37-x}{x+13}=\dfrac{3}{7}\)
\(\Leftrightarrow7\left(37-x\right)=3\left(x+13\right)\)
\(\Leftrightarrow259-7x=3x+39\)
\(\Leftrightarrow-7x-3x=39-259\)
\(\Leftrightarrow-10x=-220\)
\(\Leftrightarrow x=22\)
Vậy x = 22