\(x-\dfrac{1}{2}\left(\dfrac{2}{2.4}+\dfrac{2}{4.6}+...+\dfrac{2}{98.100}\right)=\dfrac{1}{100}\)

\(x-\dfrac{1}{2}\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+...+\dfrac{1}{98}-\dfrac{1}{100}\right)=\dfrac{1}{100}\)

\(x-\dfrac{1}{2}\left(\dfrac{1}{2}-\dfrac{1}{100}\right)=\dfrac{1}{100}\)

\(x=\dfrac{51}{200}\)

\(\left(-\frac{2}{4}+\frac{3}{6}\right)-\)\(\left(\frac{3}{9}-\frac{2}{6}+-\frac{2}{3}\right)\)

\(=\left(-\frac{1}{2}+\frac{1}{2}\right)-\)\(\left(\frac{1}{3}-\frac{1}{3}+-\frac{2}{3}\right)\)

\(=0-\left(0+-\frac{2}{3}\right)\)\(=0-\frac{-2}{3}=\frac{2}{3}\)

\(=\left(\frac{-1}{2}+\frac{1}{2}\right)-\left(\frac{1}{3}-\frac{1}{3}-\frac{2}{3}\right)\))

\(=0-\left(-\frac{2}{3}\right)\)

\(=\frac{2}{3}\)

=\(\frac{1}{5}+\frac{-8}{19}-\frac{-7}{30}-\frac{11}{19}+\)\(\frac{4}{5}\)

\(=\left(\frac{1}{5}+\frac{4}{5}\right)+\left(\frac{-8}{19}-\frac{11}{19}\right)\)\(+\frac{7}{30}\)

\(=1+\left(-1\right)+\frac{7}{30}\)

\(=\frac{7}{30}\).

162348

đáp án 2022

a) => 4/3x = 7/9 - 4/9 = 1/3

=> x = 1/3 : 4/3 = 1/4

b) => 5/2 - x = 9/14 : (-4/7) = -9/8

=> x = 5/2 - (-9/8) = 5/2 + 9/8 = 29/8

c) => 3x = 2 và 2/3 - 3/4 = 8/3 - 3/4 = 23/12

=> x = 23/12 : 3 = 23/36

D) => -5/6 - x = 1/4

=> x = -5/6 - 1/4 = -13/12

a) \(\dfrac{4}{9}+\dfrac{4}{3}x=\dfrac{7}{9}\)

\(\dfrac{4}{3}x=\dfrac{7}{9}-\dfrac{4}{9}=\dfrac{1}{3}\)

\(x=\dfrac{1}{3}:\dfrac{4}{3}\)

\(x=\dfrac{1}{4}\)

b) \(\left(\dfrac{5}{2}-x\right)\left(-\dfrac{4}{7}\right)=\dfrac{9}{14}\)

\(\dfrac{5}{2}-x=\dfrac{9}{14}:\left(-\dfrac{4}{7}\right)=-\dfrac{9}{8}\)

\(x=\dfrac{5}{2}-\left(-\dfrac{9}{8}\right)\)

\(x=\dfrac{29}{8}\)

c) \(3x+\dfrac{3}{4}=2\dfrac{2}{3}\)

\(3x+\dfrac{3}{4}=\dfrac{8}{3}\)

\(3x=\dfrac{8}{3}-\dfrac{3}{4}=\dfrac{23}{12}\)

\(x=\dfrac{23}{12}:3\)

\(x=\dfrac{23}{36}\)

d) \(-\dfrac{5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)

\(-\dfrac{5}{6}-x=\dfrac{1}{4}\)

\(x=-\dfrac{5}{6}-\dfrac{1}{4}\)

\(x=-\dfrac{13}{12}\)

\(< \dfrac{1}{2.3}+\dfrac{1}{3.4}+...+\dfrac{1}{99.100}\)

\(=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{99}-\dfrac{1}{100}\)

\(=\dfrac{1}{2}-\dfrac{1}{100}< \dfrac{1}{2}\)

x=(-2-sqrt(164))/-10=(1+sqrt(41))/5=1.481

x=(-2+sqrt(164))/-10=(1-sqrt(41))/5=-1.081

kích cho minh nha