Question

Tìm x:

\(\frac{x}{7}=\frac{x+1}{14}\)                                 \(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\) Bé hơn bằng x bé hơn bằng\(\frac{15}{4}+\frac{18}{8}\)

\(\frac{1}{2}+\frac{-3}{5}+\frac{1}{10}\)bé hơn bằng x bé hơn bằng \(\frac{8}{3}+\frac{14}{6}\)

Answer 1

\(\frac{x}{7}=\frac{x+1}{14}\Leftrightarrow14x=7x+7\Leftrightarrow7x=7\Leftrightarrow x=1\)

\(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\le x\le\frac{15}{4}+\frac{18}{8}\)

\(\Leftrightarrow1\le x\le6\Leftrightarrow x=1;2;3;4;5;6\)

\(\frac{1}{2}+\frac{-3}{5}+\frac{1}{10}\le x\le\frac{8}{3}+\frac{14}{6}\)

\(\Leftrightarrow\frac{1}{2}-\frac{3}{5}+\frac{1}{10}\le x\le\frac{8}{3}+\frac{14}{6}\)

\(\Leftrightarrow0\le x\le5\Leftrightarrow x=0;1;2;3;4;5\)

Answer 2

\(\frac{x}{7}=\frac{x+1}{14}\)

=> \(\frac{x\cdot2}{7\cdot2}=\frac{x+1}{14}\)

=> \(2x=x+1\)

=> \(2x-x-1=0\)

=> \(1x-1=0\)

=> \(x=1\)

\(\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\le x\le\frac{15}{4}+\frac{18}{8}\)

=> \(1\le x\le6\)

=> \(x=\left\{1;2;3;4;5;6\right\}\)

\(\frac{1}{2}+\frac{-3}{5}+\frac{1}{10}\le x\le\frac{8}{3}+\frac{14}{6}\)

=> \(0\le x\le5\)

=> \(x=\left\{0;1;2;3;4;5\right\}\)

Answer 3

Cảm ơn các bạn nhé !!!