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a)Ta có : \(a=2005\)
\(a+b+c\ne0\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có :
\(\dfrac{a}{b}=\dfrac{b}{c}=\dfrac{c}{a}=\dfrac{2005}{b}+\dfrac{b}{c}+\dfrac{c}{2005}=\dfrac{2005+b+c}{b+c+2005}=1\)
\(\Rightarrow\dfrac{b}{2005}=1\Rightarrow b=2005\)
\(\Rightarrow\dfrac{c}{2005}=1\Rightarrow c=\dfrac{1}{2005}\)
Vậy .................................
a) \(\dfrac{a}{b} = \dfrac{b}{c} = \dfrac{c}{a} = \dfrac{{a + b + c}}{{b + c + a}} = 1\)
\(\Rightarrow a = b = c\)
Mà \(a=2005\)
\(\Rightarrow b=c=2005\)
b) \(\dfrac{9}{10}-\dfrac{1}{90}-\dfrac{1}{72}-\dfrac{1}{56}-\dfrac{1}{42}-\dfrac{1}{30}-\dfrac{1}{20}-\dfrac{1}{12}-\dfrac{1}{6}-\dfrac{1}{2}\)
\(=\dfrac{2268-28-36-45-60-84-126-210-420-1260}{2520}\)
\(=\dfrac{0}{2520}\)
\(=0\)
a/ \(\left(3x-\dfrac{2}{4}\right)\left(x+\dfrac{1}{2}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-\dfrac{2}{4}=0\\x+\dfrac{1}{2}=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}3x=\dfrac{1}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{6}\\x=-\dfrac{1}{2}\end{matrix}\right.\)
Vậy ................
b/ \(\left(2x-5\right).\left(\dfrac{3}{2}x+9\right).\left(0,3x-12\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-5=0\\\dfrac{3}{2}x+9=0\\0,3x-12=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=5\\\dfrac{3}{2}x=-9\\0,3x=12\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-6\\x=40\end{matrix}\right.\)
Vậy ..
\(a)\left(3x-\dfrac{2}{4}\right).\left(x+\dfrac{1}{2}\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}3x-\dfrac{2}{4}=0\\x+\dfrac{1}{2}=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}3x=\dfrac{1}{2}\\x=\dfrac{-1}{2}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{1}{6}\\x=\dfrac{-1}{2}\end{matrix}\right.\)
\(b)\left(2x-5\right).\left(\dfrac{3}{2}x+9\right).\left(0,3x-12\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-5=0\\\dfrac{3}{2}x+9=0\\0,3x-12=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}2x=5\\\dfrac{3}{2}x=-9\\0,3x=12\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5}{2}\\x=-6\\x=40\end{matrix}\right.\)
Chúc bạn học tốt!
a) Ta có: \(2 > - 5\) nên \(\frac{2}{9} > \frac{{ - 5}}{9}\)hay \(\frac{2}{9} > - \frac{5}{9}\).
b) Ta có:
i) \(0 > - 0,5\) nên \({0^o}C > - 0,{5^o}C;\)
ii) Do \(12 > 7\) nên \( - 12 < - 7\). Do đó, \( - {12^o}C < - {7^o}C\).
tính à bạn?
ukm