4/1.5 + 4/5.9 + ... + 4/97.101 = 2x+5/101
=> 1 - 1/5 + 1/5 - 1/9 + ... + 1/97 - 1/101 = 2x+5/101
=> 1 - 1/101 = 2x+5/101
=> 100/101 = 2x+5/101
=> 2x + 5 = 100
=> 2x = 100 - 5 = 95
=> x = 95/2
Vậy x = 95/2
Ủng hộ mk nha ♡_♡☆_☆
\(\frac{4}{1.5}+\frac{4}{5.9}+...+\frac{4}{97.101}=\frac{2x+5}{101}\)
\(4-\frac{4}{5}+\frac{4}{5}-\frac{5}{9}+...+\frac{4}{97}-\frac{4}{101}=\frac{2x+5}{101}\)
\(4-\frac{4}{101}=\frac{2x+5}{101}\)
\(\frac{400}{101}=\frac{2x+5}{101}\)
\(\Rightarrow2x+5=400\)
\(\Rightarrow x=197,5\)
Vậy \(x=197,5\)
\(\frac{4}{1.5}+\frac{4}{5.9}+...+\frac{4}{97.101}=\frac{2x+5}{101}\)
\(1-\frac{1}{5}+\frac{1}{5}-\frac{1}{9}+...+\frac{1}{97}-\frac{1}{101}=\frac{2x+5}{101}\)
\(1-\frac{1}{101}=\frac{2x+5}{101}\)
\(\frac{100}{101}=\frac{2x+5}{101}\)
\(\Rightarrow2x+5=100\)
\(\Rightarrow x=47,5\)
Vậy \(x=47,5\)
Chúc bạn học tốt!!!
