a) Ta có: \(\dfrac{39}{-65}=\dfrac{-39}{65}=\dfrac{-39:13}{65:13}=\dfrac{-3}{5}\)

\(\dfrac{-3}{5}=\dfrac{-3}{5}\)

Do đó: \(\dfrac{-3}{5}=\dfrac{39}{-65}\)

b) Ta có: \(\dfrac{-9}{27}=\dfrac{-9:9}{27:9}=\dfrac{-1}{3}\)

\(\dfrac{-41}{123}=\dfrac{-41:41}{123:41}=\dfrac{-1}{3}\)

Do đó: \(\dfrac{-9}{27}=\dfrac{-41}{123}\)

c) Ta có: \(\dfrac{-3}{4}=\dfrac{-3\cdot5}{4\cdot5}=\dfrac{-15}{20}\)

\(\dfrac{4}{-5}=\dfrac{-4}{5}=\dfrac{-4\cdot4}{5\cdot4}=\dfrac{-16}{20}\)

mà \(\dfrac{-15}{20}>\dfrac{-16}{20}\)

nên \(\dfrac{-3}{4}>\dfrac{4}{-5}\)

d) Ta có: \(\dfrac{2}{-3}=\dfrac{-2}{3}=\dfrac{-2\cdot7}{3\cdot7}=\dfrac{-14}{21}\)

\(\dfrac{-5}{7}=\dfrac{-5\cdot3}{7\cdot3}=\dfrac{-15}{21}\)

mà \(\dfrac{-14}{21}>\dfrac{-15}{21}\)

nên \(\dfrac{2}{-3}>\dfrac{-5}{7}\)

\(1440:\left[41-\left(2x-5\right)\right]=2^4.3\)

\(\Rightarrow1440:\left[41-\left(2x-5\right)\right]=48\)

\(\Rightarrow41-\left(2x-5\right)=30\)

\(\Rightarrow2x-5=11\)

\(\Rightarrow2x=16\)

\(\Rightarrow x=8\)

Vậy \(x=8\)

\(1440:\left[41-\left(2x-5\right)\right]=2^4\cdot3\)

\(1440:\left[41-\left(2x-5\right)\right]=48\)

\(41-\left(2x-5\right)=\frac{1440}{48}=30\)

\(2x-5=41-30=11\)

\(2x=16\)

\(x=8\)

c ( 3x² -6 ) - 43 = 5³

( 3x² -6 ) - 43 = 125

3x² -6=125+43

3x² -6=168

3x²=168+6

3x²=174

x²=174:3

x²=58(đề sai)

d) 3x + 2x ( 2³ . 5 - 3² . 4 ) + 5² = 4⁴

3x + 2x ( 8 . 5 - 9 . 4 ) + 25 = 256

3x + 2x.4 + 25 = 256

3x + 2x.4=256-25

3x + 2x.4=231

(3+2).x.4=231

5x.4=231

5x=231:4

5x=57,75

x=57,75:5

x=11,55

e) 720 : [ 41 - ( 2x - 5 ) ] = 2³ . 5

720 : [ 41 - ( 2x - 5 ) ] =40

41 - ( 2x - 5 )=720:40

41 - ( 2x - 5 )=18

 2x - 5=41-18

 2x - 5=23

2x=23+5

2x=28

x=28:2

x=14

ĐỀ:

 \(\dfrac{2}{x}-2+41=\dfrac{7}{2}\) 

ĐÁP ÁN:

 \(x=\dfrac{-4}{71}\)

(-6) + (-5) + (-4) + (-3) + (-2)

= [(-6) + (-4)] + [(-5) + (-3) + (-2)]

= (-10) + (-10)

= (-20)

P/s: Cái bước thứ 3 bạn ghi kết quả ra luôn giống như ở trên mình làm đó, không cần phải dài dòng nhé!

Chúc bạn học tốt!! ^^

Ta có: \(\left(-6\right)+\left(-5\right)+\left(-4\right)+\left(-3\right)+\left(-2\right)\)

\(=-\left(2+3+4+5+6\right)\)

=-20

=(-1+2)-(3+4)-(5+6)-........-(2017+2018)

=1-7-11-........-4035

=-1009