a) x - 1/2 = 3/5

x = 3/5 + 1/2

x = 11/10

b) x - 1/2 = -2/3

x = -2/3 + 1/2

x = -1/6

c) 2/5 - x = 0,25

x = 2/5 - 0,25

x = 2/5 - 1/4

x = 3/20

Dùng công thức tính tổng 

\(1+2+3+...+x=11325\)

\(\Leftrightarrow\frac{x\left(x+1\right)}{2}=11325\)

\(\Leftrightarrow x\left(x+1\right)=22650\)

\(\Leftrightarrow x\left(x+1\right)=150.151\)

Nên x = 150

Vậy ,,,

\(1+2+3+4+...+x=11325\)

\(\Rightarrow\frac{x\left(x+1\right)}{2}=11325\)

\(\Rightarrow x\left(x+1\right)=11325\times2\)

\(\Rightarrow x\left(x+1\right)=22650\)

\(\Rightarrow150\times151=22650\)

\(\Rightarrow x=150\)

     \(x^2+2x+4⋮x+1\)

\(\Leftrightarrow\left(x^2+x\right)+\left(x+1\right)+3⋮x+1\)

\(\Leftrightarrow x\left(x+1\right)+\left(x+1\right)+3⋮x+1\)

\(\Leftrightarrow3⋮x+1\)

\(\Leftrightarrow x+1\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)

\(\Leftrightarrow x\in\left\{0;-2;2;-4\right\}\)

Ta có: \(x^2+2x+4\)

\(=\left(x^2+x\right)+\left(x+1\right)+3\)

\(=x\left(x+1\right)+\left(x+1\right)+3\)

\(=\left(x+1\right)\left(x+1\right)+3\)

Để \(x^2+2x+4\) chia hết cho x + 1 thì 3 phải chia hết cho x + 1

\(\Rightarrow\left(x+1\right)\inƯ\left(3\right)=\left\{\pm1;\pm3\right\}\)

\(\Leftrightarrow x\in\left\{-4;-2;0;2\right\}\)

a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)

\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)

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

\(\Rightarrow x=\dfrac{-5}{12}\)

b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)

\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)

\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)

\(\Rightarrow x=\dfrac{2}{5}\)

c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)

\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)

\(\Rightarrow x=\dfrac{-77}{120}\)

d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)

\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)

\(\Rightarrow x=\dfrac{-7}{20}\)

e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)

\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)

\(\Rightarrow x=\dfrac{-59}{105}\)

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

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

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

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

= (12-12) + (11+10) - (9+8) - (7+5) - (4+3) + (2-1)

= 0 + 21 - 17 - 12 - 7 + 1

= 21- 17 - 12 - 7 +1

= 4 - 12 - 7 +1

= -8 - 7 + 1

= -15 + 1

= -14

hết

= 12 - 12 + 11 + ( 10 - 9 ) + ( 8 - 7 ) + ( 5 - 4 ) + 3 + ( 2 -1 ) 

= 0 + 11 + 1 + 1 + 1 + 3 + 1

= 11 +1 + 1 + 1 + 3 + 1

= 12 + 1 + 1 + 3 + 1 

= 13 + 1 + 3 + 1

= 14 + 3 + 1

= 17 + 1 

= 18

Đáp án đây nha bạn !!!

Chúc bạn học tốt !!!

\(\dfrac{21}{36}-\left(-\dfrac{11}{30}\right)=\dfrac{7}{12}+\dfrac{11}{30}=\dfrac{7.5+11.2}{60}=\dfrac{57}{60}=\dfrac{19}{20}\\ ----\\\dfrac{-4}{8}+\left(-\dfrac{3}{10}\right)=\dfrac{-1}{2}-\dfrac{3}{10}=\dfrac{-1.5-3}{10}=\dfrac{-8}{10}=-\dfrac{4}{5}\\ ----\\ \dfrac{7}{12}-\left(-\dfrac{9}{20}\right)=\dfrac{7}{12}+\dfrac{9}{20}=\dfrac{7.5+9.3}{60}=\dfrac{62}{60}=\dfrac{31}{30}\\ ---\\ \dfrac{-2}{5}+\left(-\dfrac{11}{30}\right)=-\dfrac{2}{5}-\dfrac{11}{30}=\dfrac{-2.6-11}{30}=-\dfrac{29}{30}\)