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-->C=\(\frac{1.2.3.4...99.100}{2.4.6....100}\)-->C=\(\frac{1.2.3...99.100}{\left(2.2....2\right)\left(1.2.3.4.5....50\right)}\)[50 chữ số 2]
-->\(C=\frac{51}{2}.\left(\frac{52}{2}\right)....\left(\frac{100}{2}\right)\)=D vậy C=D
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LI-KE CHO MK NHÉ BN
52x-3-2.52 =52 . 3
⇔52x-1.52-2.52=52.3
⇔52.(52x-1-2)=52.3
⇔52x-1-2=3
⇔52x-1=5
⇔2x-1=1
⇔2x=2
⇔x=1
vay x=1
Bài 1: Tìm x, biết
a) (x + 12). (x - 3) = 0
\(\Leftrightarrow\left[\begin{matrix}x+12=0\\x-3=0\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=-12\\x=3\end{matrix}\right.\)
Vậy: \(x=-12;3\)
b) (- x + 5).(3 - x) = 0
\(\Leftrightarrow\left[\begin{matrix}-x+5=0\\3-x=0\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=5\\x=3\end{matrix}\right.\)
Vậy: \(x=3;5\)
c)x.(2 + x).(7 - x) = 0
\(\Leftrightarrow\left[\begin{matrix}x=0\\2+x=0\\7-x=0\end{matrix}\right.\Leftrightarrow\left[\begin{matrix}x=0\\x=-2\\x=7\end{matrix}\right.\)
Vậy: \(x=-2;0;7\)
Chúc bạn học tốt!!!
Bài 2:Tính nhanh
a) -183+127-117+103
\(=-183+103+127-117\)
\(=-80+10\)
\(=-70\)
b) 49-(187-51)+(-13+100)
\(=49-187+51-13+100\)
\(=49+51-187-13+100\)
\(=100-200+100\)
\(=100+100-200=0\)
c) 874.167-874.200+33.875
\(=874.\left(167-200\right)+33.875\)
\(=874.-33+33.875\)
\(=-33\left(874-875\right)\)
\(=-33.-1=33\)
A=\(2^2-9^3+4^{-2}.16-2.5^2\)
\(=4-729+1-50=-774\)
B=\(\left(2^3.2\right).\dfrac{1}{2}+3^{-2}.3^2-7.1+5\)
\(B=2^4.\dfrac{1}{2}+1-7+5=8+1-7+5=7\)
C = 2-3 + (52)3.5-3 + 4-3.16 - 2.32 - 105.(\(\dfrac{24}{51}\))0
C = \(\dfrac{1}{8}\) + 56.5-3 + 4-3.42 - 2.9 - 105.1
C = \(\dfrac{1}{8}\) + 53 + \(\dfrac{1}{4}\) - 18 - 105
C = (\(\dfrac{1}{8}\) + \(\dfrac{1}{4}\)) - (105 - 125 + 18)
C = \(\dfrac{3}{8}\) - (-20 + 18)
C = \(\dfrac{3}{8}\) + 2
C = \(\dfrac{19}{8}\)
\(2.|x+183|-2.5^2=100.\)
\(\Leftrightarrow2.|x+183|-50=100\)
\(\Leftrightarrow2.|x+183|=50\)
\(\Leftrightarrow|x+183|=25\)
\(\Leftrightarrow\orbr{\begin{cases}x+183=25\\x+183=-25\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-158\\x=-208\end{cases}}\)