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\(3,8276< \overline{3,8ab5}< 3,836\)
=>\(276< \overline{ab5}< 360\)
=>\(\left(a,b\right)\in\left\{\left(2;8\right);\left(2;9\right);\left(3;0\right);\left(3;1\right);\left(3;2\right);\left(3;3\right);\left(3;4\right);\left(3;5\right)\right\}\)
\(\left(2x-3,5\right)^2+\left(x^2-\dfrac{49}{16}\right)^2=0\)
Vì \(\left(2x-3,5\right)^2\ge0;\left(x^2-\dfrac{49}{16}\right)^2\ge0\)
\(\Rightarrow\left(2x-3,5\right)^2+\left(x^2-\dfrac{49}{16}\right)^2\ge0\)
Mà \(\left(2x-3,5\right)^2+\left(x^2-\dfrac{49}{16}\right)^2=0\)
\(\Rightarrow\left\{{}\begin{matrix}2x-3,5=0\\x^2-\dfrac{49}{16}=0\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=\dfrac{7}{4}\\x=\pm\dfrac{7}{4}\end{matrix}\right.\Rightarrow x=\dfrac{7}{4}\)
\(\dfrac{x+50}{49}+\dfrac{x+2}{48}+\dfrac{x+50}{47}=-1\)
\(\dfrac{x+50}{49}+\left(\dfrac{x+2}{48}+1\right)+\dfrac{x+50}{47}=0\)
\(\dfrac{x+50}{49}+\dfrac{x+50}{48}+\dfrac{x+50}{47}=0\)
\(\left(x+50\right)\left(\dfrac{1}{49}+\dfrac{1}{48}+\dfrac{1}{47}\right)=0\)
\(\Leftrightarrow x=-50\) Vì \(\left(\dfrac{1}{49}+\dfrac{1}{48}+\dfrac{1}{47}\right)>0\)
\(\dfrac{-188}{2017}< 0;\dfrac{1}{3678}>0\\ \Rightarrow\dfrac{-188}{2017}< \dfrac{1}{3678}\)
Dấu <
HT