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1
\(\left(x-2\right):2.3=6\)
\(\Leftrightarrow\left(x-2\right):2=2\)
\(\Leftrightarrow\left(x-2\right)=4\)
\(\Leftrightarrow x=4+2=6\)
c) ta có
\(\left[\left(2x+1\right)+1\right]m:2=625\)
\(\Leftrightarrow\left[\left(2x+1\right)+1\right]\left\{\left[\left(2x+1\right)-1\right]:2+1\right\}=1250\)
\(\Leftrightarrow\left(2x+1\right)^2+1-1:2+1=1250\)
\(\Leftrightarrow\left(2x+1\right)^2+1-2+1=1250\)
\(\Leftrightarrow\left(2x+1\right)^2+1-2=1249\)
\(\Leftrightarrow\left(2x+1\right)^2+1=1251\)
\(\Leftrightarrow\left(2x+1\right)^2=1250\)
...
2
\(\left(x-\frac{1}{2}\right).\frac{5}{3}=\frac{7}{4}-\frac{1}{2}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right).\frac{5}{3}=\frac{5}{4}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)=\frac{5}{4}:\frac{5}{3}\)
\(\Leftrightarrow\left(x-\frac{1}{2}\right)=\frac{5}{4}.\frac{3}{5}\)
\(\Leftrightarrow x-\frac{1}{2}=\frac{3}{4}\)
\(\Leftrightarrow x=\frac{3}{4}+\frac{1}{2}=\frac{5}{4}\)
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1.
a)\(0< x-1\le2\)
Mà \(x\in Z\)
\(\Rightarrow x-1\in Z\)
\(\Rightarrow x-1=1\)
\(\Rightarrow x=2\in Z\)
Vậy x=2
Các phần khác bn làm tương tự nha
d)\(\left|x\right|< 3\)
\(\Rightarrow-3< x< 3\)
\(\Rightarrow x\in\left\{-2;-1;0;1;2\right\}\)
Vậy \(x\in\left\{-2;-1;0;1;2\right\}\)
2.
c)Các phần a,b bn tự làm nha
3-|2x+1|=(-5)
\(\Rightarrow\left|2x+1\right|=3-\left(-5\right)\)
\(\Rightarrow\left|2x+1\right|=3+5\)
\(\Rightarrow\left|2x+1\right|=8\)
\(\Rightarrow2x+1=8\) hoặc \(2x+1=-8\)
\(\Rightarrow2x=8-1\) \(\Rightarrow2x=-8-1\)
\(\Rightarrow2x=7\) \(\Rightarrow2x=-9\)
\(\Rightarrow x=\frac{7}{2}=3,5\notin Z\) \(\Rightarrow x=\frac{-9}{2}=-4,5\in Z\)
Vậy \(x\in\varnothing\)
Chúc bn học tốt