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MN XONG CÂU NÀO THÌ CỨ GỬI LUÔN CHO MIK CÂU ĐÓ NHA;-;
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:(((((((((((((( NHANHH NHANH GIÚP MIK Ạ
Câu 1:
\(a,\dfrac{x}{4}=\dfrac{y}{7}=\dfrac{x-y}{4-7}=\dfrac{-15}{-3}=5\\ \Rightarrow\left\{{}\begin{matrix}x=20\\y=35\end{matrix}\right.\\ b,\dfrac{x}{3}=\dfrac{y}{5}=\dfrac{x+y}{3+5}=\dfrac{-32}{8}=-4\\ \Rightarrow\left\{{}\begin{matrix}x=-12\\y=-20\end{matrix}\right.\\ c,\dfrac{x}{2}=\dfrac{y}{3}=\dfrac{z}{5}=\dfrac{x+y+z}{2+3+5}=\dfrac{-90}{10}=-9\\ \Rightarrow\left\{{}\begin{matrix}x=-18\\y=-27\\z=-45\end{matrix}\right.\\ d,\dfrac{x}{4}=\dfrac{y}{2}=\dfrac{z}{7}=\dfrac{2x-4y+3z}{8-8+21}=\dfrac{42}{21}=2\\ \Rightarrow\left\{{}\begin{matrix}x=8\\y=4\\z=14\end{matrix}\right.\)
\(e,\dfrac{x}{5}=\dfrac{y}{6}=\dfrac{z}{7}=\dfrac{z-x}{7-5}=\dfrac{30}{2}=15\\ \Rightarrow\left\{{}\begin{matrix}x=75\\y=90\\z=105\end{matrix}\right.\\ f,\Rightarrow\dfrac{x}{3}=\dfrac{y}{5};\dfrac{x}{4}=\dfrac{z}{3}\Rightarrow\dfrac{x}{12}=\dfrac{y}{20}=\dfrac{z}{9}=\dfrac{x-y-z}{12-20-9}=\dfrac{-68}{-17}=4\\ \Rightarrow\left\{{}\begin{matrix}x=48\\y=80\\z=36\end{matrix}\right.\\ g,\Rightarrow\dfrac{x}{6}=\dfrac{y}{4}=\dfrac{z}{3}=\dfrac{x+y+z}{6+4+3}=\dfrac{65}{13}=5\\ \Rightarrow\left\{{}\begin{matrix}x=30\\y=20\\z=15\end{matrix}\right.\\ h,\Rightarrow\dfrac{x}{4}=\dfrac{y}{6};\dfrac{y}{5}=\dfrac{z}{8}\Rightarrow\dfrac{x}{20}=\dfrac{y}{30}=\dfrac{z}{48}=\dfrac{5x-3y-3z}{100-90-144}=\dfrac{-536}{-134}=4\\ \Rightarrow\left\{{}\begin{matrix}x=80\\y=120\\z=192\end{matrix}\right.\)
c. \(\left|\dfrac{8}{4}-\left|x-\dfrac{1}{4}\right|\right|-\dfrac{1}{2}=\dfrac{3}{4}\)
\(\Rightarrow\left[{}\begin{matrix}\left|\dfrac{8}{4}-x+\dfrac{1}{4}\right|-\dfrac{1}{2}=\dfrac{3}{4}\\\left|\dfrac{8}{4}+x-\dfrac{1}{4}\right|-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\left|\dfrac{9}{4}-x\right|-\dfrac{1}{2}=\dfrac{3}{4}\\\left|\dfrac{7}{4}+x\right|-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}\left[{}\begin{matrix}\dfrac{9}{4}-x-\dfrac{1}{2}=\dfrac{3}{4}\\x=\dfrac{9}{4}-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\\\left[{}\begin{matrix}\dfrac{7}{4}+x-\dfrac{1}{2}=\dfrac{3}{4}\\-\dfrac{7}{4}-x-\dfrac{1}{2}=\dfrac{3}{4}\end{matrix}\right.\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}\left[{}\begin{matrix}x=1\\x=\dfrac{7}{2}\end{matrix}\right.\\\left[{}\begin{matrix}x=-\dfrac{1}{2}\\x=-3\end{matrix}\right.\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}x=1\\x=\dfrac{7}{2}\\x=-3\end{matrix}\right.\)
Ở nơi x=9/4-1/2 là x-9/4-1/2 nha
a. -1,5 + 2x = 2,5
<=> 2x = 2,5 + 1,5
<=> 2x = 4
<=> x = 2
b. \(\dfrac{3}{2}\left(x+5\right)-\dfrac{1}{2}=\dfrac{4}{3}\)
<=> \(\dfrac{3}{2}x+\dfrac{15}{2}-\dfrac{1}{2}=\dfrac{4}{3}\)
<=> \(\dfrac{9x}{6}+\dfrac{45}{6}-\dfrac{3}{6}=\dfrac{8}{6}\)
<=> 9x + 45 - 3 = 8
<=> 9x = 8 + 3 - 45
<=> 9x = -34
<=> x = \(\dfrac{-34}{9}\)
\(\dfrac{1}{2}-\dfrac{5}{12}x=\dfrac{2}{3}\)
\(\dfrac{5}{12}x=\dfrac{1}{2}-\dfrac{2}{3}=\dfrac{3}{6}-\dfrac{4}{6}\)
\(\dfrac{5}{12}x=\dfrac{-1}{6}\)
\(x=\dfrac{-1}{6}:\dfrac{5}{12}=\dfrac{-1}{6}.\dfrac{12}{5}\)
\(x=\dfrac{-2}{5}\)
a)\(3x-\dfrac{2}{5}=0=>3x=\dfrac{2}{5}=>x=\dfrac{2}{15}\)
b)\(\left(x-3\right)\left(2x+8\right)=0=>\left[{}\begin{matrix}x-3=0\\2x=-8\end{matrix}\right.=>\left[{}\begin{matrix}x=3\\x=-4\end{matrix}\right.\)
c)\(3x^2-x-4=0=>3x^2+3x-4x-4=0=>\left(3x-4\right)\left(x+1\right)=0\)
\(=>\left[{}\begin{matrix}3x=4\\x+1=0\end{matrix}\right.=>\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=-1\end{matrix}\right.\)
|1,5-x|+|2,5-x|=0
=> |1,5-x| = 0 và |2,5-x| = 0
=> x = 1,5 và x = 2,5
Không thể tồn tại 2 giá x cung một lúc.
Vậy không tồn tại x.
+) \(x>2,5\Rightarrow\hept{\begin{cases}x-1,5>0\\2,5-x< 0\end{cases}\Rightarrow}\hept{\begin{cases}\left|x-1,5\right|=x-1,5\\\left|2,5-x\right|=x-2,5\end{cases}}\)
\(\Rightarrow\left(x-1,5\right)-\left(x-2,5\right)=3\Leftrightarrow1=3\left(VN\right)\)
+) \(1,5< x\le2,5\Rightarrow\hept{\begin{cases}x-1,5>0\\2,5-x\ge0\end{cases}\Rightarrow}\hept{\begin{cases}\left|x-1,5\right|=x-1,5\\\left|2,5-x\right|=2,5-x\end{cases}}\)
\(\Rightarrow\left(x-1,5\right)-\left(2,5-x\right)=3\Leftrightarrow2x-1=3\Leftrightarrow x=2\)
+) \(x\le1,5\Rightarrow\hept{\begin{cases}x-1,5\le0\\2,5-x>0\end{cases}\Rightarrow\hept{\begin{cases}\left|x-1,5\right|=1,5-x\\\left|2,5-x\right|=2,5-x\end{cases}}}\)
\(\Rightarrow\left(1,5-x\right)-\left(2,5-x\right)=3\Leftrightarrow-1=3\left(VN\right)\)
Vậy nhận nghiệm \(x=2\)
cảm ơn bạn nhưng mik thấy nếu x=2 thì biểu thức đó sẽ bằng 0 chứ ko phải 3 nên có lẽ bạn sai rồi!
-2,5 + |3x + 5| = -1,5
|3x + 5| = -1,5 + 2,5
|3x + 5| = 1
Với x -5/3 ta có:
3x + 5 = 1
3x = 1 - 5
3x = -4
x = -4/3 (nhận)
Với x < -5/3 ta có:
3x + 5 = -1
3x = -1 - 5
3x = -6
x = -6/3
x = -2 (nhận)
Vậy x = -2; x = -4/3