\(x:2\frac{1}{2}\times x+2\frac{1}{5}=5\frac{1}{2}\)
\(x:\frac{5}{2}\times x+\frac{11}{5}=\frac{11}{2}\)
\(x\times\frac{2}{5}\times x+\frac{11}{5}=\frac{11}{2}\)
\(x\times x\times\frac{2}{5}=\frac{11}{2}-\frac{11}{5}\)
\(x\times x\times\frac{2}{5}=\frac{33}{10}\)
\(x\times x=\frac{33}{10}:\frac{2}{5}\)
\(x\times x=\frac{33}{4}\)
\(\Rightarrow x=\sqrt{\frac{33}{4}}\)
\(x=2,8722...\)
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