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Nhân 2 cả 2 vế lên:
\(\left(2x+\frac{2}{1x3}\right)+...+\left(2x+\frac{2}{23x25}\right)=22x+\frac{2}{3}+\frac{2}{9}+\frac{2}{81}+\frac{2}{243}\)2/243
\(24x+\left(1-\frac{1}{3}+\frac{1}{3}-...+\frac{1}{23}-\frac{1}{25}\right)=22x+\frac{162+54+6+2}{243}\)
\(24x+\frac{24}{25}=22x+\frac{224}{243}\)
\(2x=\frac{224}{243}-\frac{24}{25}\)
\(2x=-\frac{232}{6025}\)
\(x=\frac{-116}{6075}\)
\(\left(x+\frac{1}{1.3}\right)+\left(x+\frac{1}{3.5}\right)+...+\left(x+\frac{1}{23.25}\right)=11.x+\left(\frac{1}{3}+\frac{1}{9}+\frac{1}{81}+\frac{1}{243}\right)\)
\(12x+\left[\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{23}-\frac{1}{25}\right)\right]=11.x+\left(\frac{81}{243}+\frac{27}{243}+\frac{3}{243}+\frac{1}{243}\right)\)
\(12x+\left[\frac{1}{2}.\left(\frac{1}{1}-\frac{1}{25}\right)\right]=11.x+\frac{112}{243}\)
\(12x+\left(\frac{1}{2}.\frac{24}{25}\right)=11.x+\frac{112}{243}\)
\(12x+\frac{12}{25}=11x+\frac{112}{243}\)
\(11x-12x=\frac{112}{243}-\frac{12}{25}\)
\(-1x=-\frac{116}{6075}\)
\(x=-\frac{116}{6075}\div\left(-1\right)\)
\(x=\frac{116}{6075}\)
\(\frac{244\times395-151}{244+395\times243}\)
\(=\frac{243\times395+395-151}{243\times395+244}\)
\(=\frac{243\times395+244}{243\times395+244}\)
\(=1\)
a) là 3,2m
b)là 5,1m
c) là 8,5m
d) là 1,005 tấn
câu2
a) x =10
b) x = 2,15
\(24+5\cdot x=243:27+40\)
\(24+5\cdot x=9+40\)
\(24+5\cdot x=49\)
\(5\cdot x=49-24\)
\(5\cdot x=25\)
\(x=5\)
224x395-151=223x395+395-151=223x395+224
nên: (244x395-151)/(224+395x243)=1
x*243=650.025
X=650.025/243=2.675
Vay x=2.675
em lấy máy tính cầm tay bấm 650,025:243 ra kết quả là 2,675 nhé