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a) /2x+1/-19=-7 /2x+1/=-7+-19 /2x+1/=-12 vì /2x+1/=12 chứ ko đc =-12 =>x ko xảy ra
a) x=5,5 và x=16,5
b) x=7 và x=3
c) x=-10 và x=8 và x=2 và x=20
d) x=8 và x =-2
e) x=-3,5
a; \(\dfrac{2}{3}\)\(x\) - \(\dfrac{3}{2}\)\(x\) = \(\dfrac{5}{12}\)
(\(\dfrac{2}{3}\) - \(\dfrac{3}{2}\))\(x\) = \(\dfrac{5}{12}\)
- \(\dfrac{5}{6}\)\(x\) = \(\dfrac{5}{12}\)
\(x\) = \(\dfrac{5}{12}\) : (- \(\dfrac{5}{6}\))
\(x=\) - \(\dfrac{1}{2}\)
Vậy \(x=-\dfrac{1}{2}\)
b; \(\dfrac{2}{5}\) + \(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\)
\(\dfrac{3}{5}\).(3\(x\) - 3,7) = \(\dfrac{-53}{10}\) - \(\dfrac{2}{5}\)
\(\dfrac{3}{5}\).(3\(x\) - 3,7) = - \(\dfrac{57}{10}\)
3\(x\) - 3,7 = - \(\dfrac{57}{10}\) : \(\dfrac{3}{5}\)
3\(x\) - 3,7 = - \(\dfrac{19}{2}\)
3\(x\) = - \(\dfrac{19}{2}\) + 3,7
3\(x\) = - \(\dfrac{29}{5}\)
\(x\) = - \(\dfrac{29}{5}\) : 3
\(x\) = - \(\dfrac{29}{15}\)
Vậy \(x\) \(\in\) - \(\dfrac{29}{15}\)
\(a,\left(2x-5\right)+17=6\)
\(2x-5=6-17\)
\(2x-5=-11\)
\(2x=-11+5\)
\(2x=-6\)
\(x=-3\)
\(b,10-2.\left(4-3x\right)=-4\)
\(2.\left(4-3x\right)=10+4\)
\(2.\left(4-3x\right)=14\)
\(4-3x=14:2\)
\(4-3x=7\)
\(-3x=7-4\)
\(-3x=3\)
\(x=-1\)
\(c,-12+3.\left(-x+7\right)=18\)
\(3.\left(-x+7\right)=18+12\)
\(3.\left(-x+7\right)=30\)
\(-x+7=30:3\)
\(-x+7=10\)
\(x=7-10\)
\(x=-3\)
\(d,24:\left(3x-2x\right)=-3\)
\(24:x=-3\)
\(x=24:\left(-3\right)\)
\(x=-8\)
\(e,-45:5.\left(-3-2x\right)=3\)
\(-9.\left(-3-2x\right)=3\)
\(27+18x=3\)
\(18x=3-27\)
\(18x=-24\)\
\(x=-\frac{4}{3}\)
1. \(3-|2x+1|=-5\)
\(\Rightarrow|2x+1|=8\)
\(\Rightarrow\orbr{\begin{cases}2x+1=8\\2x+1=-8\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=7\\2x=-9\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{7}{2}\\x=-\frac{9}{2}\end{cases}}\)
Vậy \(x\in\left\{\frac{7}{2};-\frac{9}{2}\right\}\)
2.\(12+|3-x|=9\)
\(\Rightarrow|3-x|=-3\)
Mà \(|3-x|\ge0\forall x\)
\(\Rightarrow\)Vô lí
Vậy không có x
3.\(|x+9|=12+\left(-9\right)+2\)
\(\Rightarrow|x+9|=5\)
\(\Rightarrow\orbr{\begin{cases}x+9=5\\x+9=-5\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-4\\x=-14\end{cases}}\)
Vậy \(x\in\left\{-4;-14\right\}\)
4.\(5x-16=40+x\)
\(\Rightarrow5x-x=40+16\)
\(\Rightarrow4x=56\)
\(\Rightarrow x=14\)
Vậy \(x=14\)
5.\(5x-7=-21-2x\)
\(\Rightarrow5x+2x=-21+7\)
\(\Rightarrow7x=-14\)
\(\Rightarrow x=-2\)
Vậy \(x=-2\)
6.\(\left(2x-1\right)\left(y-2\right)=12\)
Vì \(x,y\inℤ\)nên \(2x-1;y-2\inℤ\)
\(\Rightarrow2x-1;y-2\inƯ\left(12\right)=\left\{\pm1;\pm2;\pm3;\pm4;\pm6;\pm12\right\}\)
Ta có bảng : (em tự xét bảng nhé)
b)\(3.4^2-2.3=3.\left(4^2-3\right)\)
\(=3.13\)
\(=39\)
Học tốt nha!!!
a) 2x - 3 = -12
=> 2x = -12 + 3 = -9
=> x = \(-\frac{9}{2}\)
b) \(\frac{1}{2}+2x=-\frac{5}{6}:\frac{2}{3}\)
=> \(\frac{1}{2}+2x=-\frac{5}{6}\cdot\frac{3}{2}\)
=> \(\frac{1}{2}+2x=-\frac{5}{2}\cdot\frac{1}{2}\)
=> \(\frac{1}{2}+2x=-\frac{5}{2}\)
=> \(2x=-\frac{5}{2}-\frac{1}{2}=-3\)
=> \(x=-3:2=-\frac{3}{2}\)
c) \(1< \frac{x}{5}< 2\)
=> \(\frac{5}{5}< \frac{x}{5}< \frac{10}{5}\)
=> 5 < x < 10
=> x \(\in\){6,7,8,9}
Dù bạn có cho âm vào nx thì nó vẫn sai nhá
d) Đặt \(A=\frac{x+5}{x-2}=\frac{x-2+7}{x-2}=1+\frac{7}{x-2}\)
=> \(x-2\inƯ\left(7\right)=\left\{\pm1;\pm7\right\}\)
+) x - 2 = 1 => x = 3(T/M)
x - 2 = -1 => x = -1 +2 = 1(t/m)
x - 2 = 7 => x = 9 (t/m)
x - 2 = -7 => x = -7 + 2 = -5(t/m)
e) làm nốt ...
a,\(2x-3=-12\)
\(< =>2x=-12+3=-9\)
\(< =>x=-\frac{9}{2}\)
b,\(\frac{1}{2}+2x=-\frac{5}{6}:\frac{2}{3}\)
\(< =>\frac{1}{2}+\frac{4x}{2}=-\frac{5}{6}.\frac{3}{2}\)\(< =>\frac{4x+1}{2}=-\frac{5}{4}\)
\(< =>\frac{8x+2}{4}=-\frac{5}{4}\)\(< =>8x+2=-5\)
\(< =>8x=-5-2=-7\)\(< =>x=-\frac{7}{8}\)