\(\left(\frac{1}{25.21}+\frac{1}{26.27}+...........+\frac{1}{29.30}\right).150+103\div\left[1.03+\left(x+1\right)\right]=22\)
Những câu hỏi liên quan
\(\left(\frac{1}{25.26}+\frac{1}{26.27}+............+\frac{1}{29.30}\right).150+103\div\left[1.03+\left(x+1\right)\right]=22\)
\(\left(\frac{1}{25.21}+\frac{1}{26.27}+........+\frac{1}{29.30}\right).150+103\left[1,03+\left(x+1\right)\right]=22\)
\(\left(\frac{1}{25.26}+\frac{1}{26.27}+........+\frac{1}{29.30}\right).150+103:\left[1,03+\left(x+1\right)\right]=22\)
\(\left(\frac{1}{25.26}+\frac{1}{26.27}+.......\frac{1}{29.30}\right).150+1,03:\left[1,03.\left(x-1\right)\right]=22\)
Tìm x
a/\(\frac{1}{24.25}+\frac{1}{25.26}+...+\frac{1}{29.30}+x\div\frac{1}{3}=-4\)
b/\(\frac{1}{10}+\frac{1}{40}+\frac{1}{88}+...+\frac{1}{\left(3x+2\right)\left(3x+5\right)}=\frac{3}{20}\)
\(P=\left(1\div\frac{1}{1.3}\right)\left(1\div\frac{1}{2.4}\right)\left(1\div\frac{1}{3.5}\right)...\left(1\div\frac{1}{49.51}\right)+\frac{2}{51}\)
\(\left(1-\frac{1}{1.2}\right)+\left(1-\frac{1}{2.3}\right)+...+\left(1-\frac{1}{29.30}\right)\)
\(\frac{\left(\frac{1}{6}+\frac{1}{10}+\frac{1}{15}\right)\div\left(\frac{1}{6}+\frac{1}{10}-\frac{1}{15}\right)}{\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{5}\right)\div\left(\frac{1}{4}-\frac{1}{6}\right)}\)
Rút gọn A = \(\left[\left(1+\frac{1}{x^2}\right)\div\left(1+2x+x^2\right)+\frac{2}{\left(x+1\right)^3}\left(1+\frac{1}{x}\right)\right]\div\frac{x-1}{x^3}\)
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Tìm tập xác định
\(\left[\left(1+\frac{1}{x^2}\right)\div\left(1+2x+x^2\right)+\frac{2}{\left(x+1\right)^3}\times\left(1+\frac{1}{x}\right)\right]\div\frac{x-1}{x^3}\)
\(=\left[\frac{x^2+1}{x^2}\times\frac{1}{\left(x+1\right)^2}+\frac{2}{\left(x+1\right)^3}\times\frac{x+1}{x}\right]\div\frac{x-1}{x^3}\)
\(=\left(\frac{x^2+1}{x^2}\times\frac{1}{\left(x+1\right)^2}+\frac{1}{\left(x+1\right)^2}\times\frac{2}{x}\right)\div\frac{x-1}{x^3}\)
\(=\left(\frac{1}{\left(x+1\right)^2}\times\left(\frac{x^2+1}{x^2}+\frac{2}{x}\right)\right)\div\frac{x-1}{x^3}\)
\(=\left(\frac{1}{\left(x+1\right)^2}\times\frac{x^3+2x^2+x}{x^3}\right)\div\frac{x-1}{x^3}\)
\(=\left(\frac{1}{\left(x+1\right)^2}\times\frac{x\left(x^2+2x+1\right)}{x^3}\right)\div\frac{x-1}{x^3}\)
\(=\left(\frac{1}{\left(x+1\right)^2}\times\frac{x\left(x+1\right)^2}{x^3}\right)\div\frac{x-1}{x^3}\)
\(=\frac{1}{x^2}\times\frac{x^3}{x-1}\)
\(=\frac{x}{x-1}\)
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