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b) \(B=\dfrac{2^{10}\cdot52+2^{12}\cdot65}{2^{11}\cdot52}+\dfrac{\left(-3\right)^{10}\cdot11+3^9\cdot15}{3^8\cdot2^3\cdot6}\)
\(B=\dfrac{2^{10}\cdot2^2\cdot13+2^{12}\cdot5\cdot13}{2^{11}\cdot13\cdot2^2}+\dfrac{\left(-3\right)^{10}\cdot11+3^9\cdot3\cdot5}{3^8\cdot2^3\cdot2\cdot3}\)
\(B=\dfrac{2^{12}\cdot13+2^{12}\cdot13\cdot5}{2^{13}\cdot13}+\dfrac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}\)
\(B=\dfrac{2^{12}\cdot13\cdot\left(1+5\right)}{2^{13}\cdot13}+\dfrac{3^{10}\cdot\left(11+5\right)}{3^9\cdot2^4}\)
\(B=\dfrac{1+5}{2}+\dfrac{3\cdot16}{2^4}\)
\(B=3+3\)
\(B=6\)
\(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Rightarrow\left(2x-15\right)^5-\left(2x-15\right)^3=0\)
\(\Rightarrow\left(2x-15\right)^3\left[\left(2x-15\right)^2-1\right]=0\)
\(\Rightarrow\left(2x-15\right)^3\left(2x-15-1\right)\left(2x-15+1\right)=0\)
\(\Rightarrow\left(2x-15\right)^3\left(2x-16\right)\left(2x-14\right)=0\)
\(\Rightarrow\left[{}\begin{matrix}2x-15=0\\2x-16=0\\2x-14=0\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}2x=15\\2x=16\\2x=14\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=8\\x=7\end{matrix}\right.\)
a: =14/13-1/13-19/20=1-19/20=1/20
b: =-24/17+7/17+1/16=-1+1/16=-15/16
\(\dfrac{x-2}{121}=\dfrac{-11}{6}.\dfrac{6}{7}\)
\(\dfrac{x-2}{121}=\dfrac{-11}{7}\)
7(x-2)=-11.121
x-2=\(\dfrac{-1331}{7}\)
x=\(\dfrac{-1317}{7}\)
x-2/121=-11/6.6/7
x-2/121=-11/7
➞(x-2).7=121.(-11)
(x-2).7=-1331
x-2=-1331:3
x-2=-1331/3
x=-1331/3+2
x=-1325/3
Dãy số cách đều 3 đơn vị
x thuộc N/3x thuộc A/x<102