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Bài 1:
a: f(0)=1
f(2)=-3x2+1=-6+1=-5
f(-2)=-3x2+1=-5
f(-1/2)=-3x1/2+1=-3/2+1=-1/2
b: f(x)=-3
=>-3|x|+1=-3
=>-3|x|=-4
=>|x|=4/3
=>x=4/3 hoặc x=-4/3
(x - \(\frac{1}{2}\)) (2x - 3) = 0
TH1:
x - \(\frac{1}{2}\) = 0
⇒x = -\(\frac{1}{2}\)
TH2:
2x - 3 = 0
⇒x = \(\frac{3}{2}\)
VẬY x = {\(\frac{3}{2}\); -\(\frac{1}{2}\)}
NHớ tick và theo dõi mik nhá!
\(\left(2x+1\right)\left|x-3\right|=0\)
\(\Leftrightarrow\orbr{\begin{cases}2x+1=0\\\left|x-3\right|=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{-1}{2}\\x=3\end{cases}}\)
\(\left(x-\frac{1}{2}\right)\left(2x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{1}{2}=0\\2x-3=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{3}{2}\end{cases}}\)
a,2x-3=x+1/2 b,4x-(x+1/2)=2x+(1/2-5) c,2/3-1/3(x-2/3)-1/2(2x+1)=5
2x-x =1/2+3 4x-x-1/2=2x+1/2-5 d,(x+1/2).(x-3/4)=0
x=7/2 4x-x-2x =1/2-5+1/2 \(\orbr{\begin{cases}x+\frac{1}{2}=0\\x-\frac{3}{4}=0\end{cases}}\orbr{\begin{cases}x=-\frac{1}{2}\\x=\frac{3}{4}\end{cases}}\)
x=-4
e,(2x-1)(3x+1/5)=0
\(\orbr{\begin{cases}2x-1=0\\3x+\frac{1}{5}=0\end{cases}}\orbr{\begin{cases}2x=1\\3x=\frac{1}{5}\end{cases}}\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{1}{15}\end{cases}}\)
f, 4x2-2x=0
Các câu mk chưa làm thì bạn cứ chờ để mk suy nghĩ.
\(a,\frac{1}{2}x+\frac{5}{2}=\frac{7}{2}x-\frac{3}{4}\)
\(\Leftrightarrow\frac{1}{2}x+\frac{5}{2}-\frac{7}{2}x=-\frac{3}{4}\)
\(\Leftrightarrow\frac{1}{2}x-\frac{7}{2}x+\frac{5}{2}=-\frac{3}{4}\)
\(\Leftrightarrow-3x+\frac{5}{2}=-\frac{3}{4}\)
\(\Leftrightarrow-3x=-\frac{13}{4}\)
\(\Leftrightarrow x=-\frac{13}{4}:(-3)=-\frac{13}{4}:\frac{-3}{1}=-\frac{13}{4}\cdot\frac{-1}{3}=\frac{13}{12}\)
\(b,\frac{2}{3}x-\frac{2}{5}=\frac{1}{2}x-\frac{1}{3}\)
\(\Leftrightarrow\frac{2}{3}x-\frac{2}{5}-\frac{1}{2}x=-\frac{1}{3}\)
\(\Leftrightarrow\frac{2}{3}x-\frac{1}{2}x-\frac{2}{5}=-\frac{1}{3}\)
\(\Leftrightarrow\frac{1}{6}x-\frac{2}{5}=-\frac{1}{3}\)
\(\Leftrightarrow\frac{1}{6}x=\frac{1}{15}\)
\(\Leftrightarrow x=\frac{1}{15}:\frac{1}{6}=\frac{1}{15}\cdot6=\frac{6}{15}=\frac{2}{5}\)
\(c,\frac{1}{3}x+\frac{2}{5}(x+1)=0\)
\(\Leftrightarrow\frac{1}{3}x+\frac{2}{5}x+\frac{2}{5}=0\)
\(\Leftrightarrow\frac{11}{15}x=-\frac{2}{5}\)
\(\Leftrightarrow x=-\frac{6}{11}\)
d,e,f Tương tự
P/s : mk làm câu b trc câu a hơi rắc rối làm sau
| 2x - 1/3 | - 5 = 0
| 2x - 1/3 | = 5
+) 2x - 1/3 = 5
2x = 16/3
x = 8/3
+) 2x - 1/3 = -5
2x = -14/3
x = -7/3
Vậy,........
viết cho ra phân số cái coi
a,x=-7/3
a) đây
\(\frac{-2}{3}\left(\frac{-1}{2}x-1\right)+\frac{1}{2}=\frac{1}{2}\left(3-\frac{2}{3}x\right)\)
\(\frac{1}{3}x+\frac{2}{3}+\frac{1}{2}=\frac{3}{2}-\frac{1}{3}x\)
\(\frac{1}{3}x+\frac{1}{3}x=\frac{3}{2}-\frac{2}{3}-\frac{1}{2}\)
\(\frac{2}{3}x=\frac{1}{3}\)
\(x=\frac{1}{3}\cdot\frac{3}{2}\)
\(x=\frac{1}{2}\)
\(a.-\frac{2}{3}\left(-\frac{1}{2}x-1\right)+\frac{1}{2}=\frac{1}{2}\left(3-\frac{2}{3}x\right)\)
\(\Leftrightarrow\frac{1}{3}x+\frac{2}{3}+\frac{1}{2}=\frac{3}{2}-\frac{1}{3}x\)
\(\Leftrightarrow\frac{2}{3}x=\frac{1}{3}\Leftrightarrow x=\frac{1}{2}\)
b.\(\left|2x-\frac{1}{3}\right|=5\)
\(\orbr{\begin{cases}2x-\frac{1}{3}=5\\2x-\frac{1}{3}=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\frac{8}{3}\\x=-\frac{7}{3}\end{cases}}}\)