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Vì \(\left|x+23\right|^{2017}\ge0;\left|y-23\right|^{2015}\ge0\)
\(\Rightarrow\left|x+23\right|^{2017}+\left|y-23\right|^{2015}\ge0\)
Dấu "=" xảy ra <=> \(\orbr{\begin{cases}\left|x+23\right|^{2017}=0\\\left|y-23\right|^{2015}=0\end{cases}\Rightarrow\orbr{\begin{cases}x+23=0\\y-23=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=-23\\y=23\end{cases}}}\)
Bài 1:
\(P=\frac{\frac{1}{2003}+\frac{1}{2004}-\frac{1}{2005}}{\frac{5}{2003}+\frac{5}{2004}-\frac{5}{2005}}-\frac{\frac{2}{2002}+\frac{2}{2003}-\frac{2}{2004}}{\frac{3}{2002}+\frac{3}{2003}-\frac{3}{2004}}\)
\(\Rightarrow P=\frac{1\left(\frac{1}{2003}+\frac{1}{2004}-\frac{1}{2005}\right)}{5\left(\frac{1}{2003}+\frac{1}{2004}-\frac{1}{2005}\right)}-\frac{2\left(\frac{1}{2002}+\frac{1}{2003}-\frac{1}{2002}\right)}{3\left(\frac{1}{2002}+\frac{1}{2003}-\frac{1}{2004}\right)}\)
\(\Rightarrow P=\frac{1}{5}-\frac{2}{3}\)
\(\Rightarrow P=\frac{-7}{15}\)
Vậy \(P=\frac{-7}{15}\)
Bài 2:
Ta có: \(S=23+43+63+...+203\)
\(\Rightarrow S=13+10+20+23+...+103+100\)
\(\Rightarrow S=\left(13+23+...+103\right)+\left(10+20+...+100\right)\)
\(\Rightarrow S=3025+450\)
\(\Rightarrow S=3475\)
Vậy S = 3475
1. \(P=\frac{\frac{1}{2003}+\frac{1}{2004}-\frac{1}{2005}}{\frac{5}{2003}+\frac{5}{2004}-\frac{5}{2005}}-\frac{\frac{2}{2002}+\frac{2}{2003}-\frac{2}{2004}}{\frac{3}{2002}+\frac{3}{2003}-\frac{3}{2004}}\)
=> P =\(\frac{\frac{1}{2003}+\frac{1}{2004}-\frac{1}{2005}}{5\left(\frac{1}{2003}+\frac{1}{2004}-\frac{1}{2005}\right)}-\frac{2\left(\frac{1}{2002}+\frac{1}{2003}-\frac{1}{2004}\right)}{3\left(\frac{1}{2002}+\frac{1}{2003}-\frac{1}{2004}\right)}\)
=> P = \(\frac{1}{5}-\frac{2}{3}\)
P = \(\frac{3}{15}-\frac{10}{15}\)
=> P =\(\frac{-7}{15}\)
2. ta có:
S = 23 + 43 + 63 +...+ 203
=> S = 13 + 10 + 23 + 20 +...+ 103 + 100
=> S = ( 13 + 23+...+ 103 ) + ( 10 + 20 +...+ 100 )
=> S = 3025 + 550
=> S = 3575
Vậy S = 3575
N=\(\frac{-7}{10^{2005}}+\frac{-15}{10^{2005}}\) Và M=\(\frac{-15}{10^{2005}}+\frac{-7}{10^{2006}}\)
Ta xét 2 PS \(\frac{-7}{10^{2005}}\) và \(\frac{-7}{10^{2006}}\)
Ta có tích . (-7).102006<(-7).102005 (vì 102006>102005)
Nên \(\frac{-7}{10^{2005}}\) < \(\frac{-7}{10^{2006}}\)
Nên \(\frac{-7}{10^{2005}}+\frac{-15}{10^{2005}}\) < \(\frac{-15}{10^{2005}}+\frac{-7}{10^{2006}}\)
cho hỏi chút
\(\frac{a}{b}=\frac{c}{d}\)
trong đó
\(a=c\) hay \(a\ne c\)
\(b=d\) hay \(b\ne d\)
( bài có thiếu điều kiện ko vậy )
-1992 bạn nhé
23 - 10 - 2005 = -1992