Question

x - 1/2 - 1/6 - 1/12 - 1/20 - 1/30 - 1/42 = 1

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Answer 1

\(x-\frac{1}{2}-\frac{1}{6}-\frac{1}{12}-\frac{1}{20}-\frac{1}{30}-\frac{1}{42}=1\)

\(x-\left(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}\right)=1\)

\(x-\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}\right)=1\)

\(x-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\right)=1\)

\(x-\left(1-\frac{1}{7}\right)=1\)

\(x-\frac{6}{7}=1\)

\(x=1+\frac{6}{7}\)

\(x=\frac{7}{7}+\frac{6}{7}=\frac{13}{7}\)

Vậy \(x=\frac{13}{7}\)

Answer 2

\(=\frac{13}{7}\)