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Bài 4:
a; \(\dfrac{1}{4}\) - \(\dfrac{1}{5}\) = \(\dfrac{5}{20}\) - \(\dfrac{4}{20}\) = \(\dfrac{1}{20}\)
b; \(\dfrac{3}{5}\) - \(\dfrac{-1}{2}\) = \(\dfrac{6}{10}\) + \(\dfrac{5}{10}\) = \(\dfrac{11}{10}\)
c; \(\dfrac{3}{5}\) - \(\dfrac{-1}{3}\) = \(\dfrac{9}{15}\) + \(\dfrac{5}{15}\) = \(\dfrac{14}{15}\)
d; \(\dfrac{-5}{7}\) - \(\dfrac{1}{3}\)= \(\dfrac{-15}{21}\) - \(\dfrac{7}{21}\)= \(\dfrac{-22}{21}\)
Bài 5
a; 1 + \(\dfrac{3}{4}\) = \(\dfrac{4}{4}\) + \(\dfrac{3}{4}\) = \(\dfrac{7}{4}\) b; 1 - \(\dfrac{1}{2}\) = \(\dfrac{2}{2}\) - \(\dfrac{1}{2}\) = \(\dfrac{1}{2}\)
c; \(\dfrac{1}{5}\) - 2 = \(\dfrac{1}{5}\) - \(\dfrac{10}{5}\) = \(\dfrac{-9}{5}\) d; -5 - \(\dfrac{1}{6}\) = \(\dfrac{-30}{6}\) - \(\dfrac{1}{6}\) = \(\dfrac{-31}{6}\)
e; - 3 - \(\dfrac{2}{7}\)= \(\dfrac{-21}{7}\) - \(\dfrac{2}{7}\)= \(\dfrac{-23}{7}\) f; - 3 + \(\dfrac{2}{5}\) = \(\dfrac{-15}{5}\) + \(\dfrac{2}{5}\)= - \(\dfrac{13}{5}\)
g; - 3 - \(\dfrac{2}{3}\) = \(\dfrac{-9}{3}\) - \(\dfrac{2}{3}\) = \(\dfrac{-11}{3}\) h; - 4 - \(\dfrac{-5}{7}\) = \(\dfrac{-28}{7}\)+ \(\dfrac{5}{7}\) = - \(\dfrac{23}{7}\)
Do C là trung điểm của OB
⇒ OC = OB : 2 = 6 : 2 = 3 (cm)
⇒ OC > OA
⇒ O không là trung điểm của AC
Lời giải:
\(E=\frac{\frac{2013}{1}.\frac{2014}{2}.\frac{2015}{3}....\frac{3012}{1000}}{\frac{1001}{1}.\frac{1002}{2}.\frac{1003}{3}....\frac{3012}{2012}}\\ =\frac{2013.2014.2015....3012}{1001.1002.1003....3012}.\frac{1.2.3...2012}{1.2.3..1000}\\ =\frac{1}{1001.1002...2012}.(1001.1002....2012)=1\)
Có quá nhiều bài, thứ nhất em đăng tách ra, thứ hai chụp gần cận cho rõ, thứ ba em chỉ đăng bài cần giúp
Bài 3:
a; \(\frac56-\frac89\) = \(\frac{15}{18}-\) \(\frac{16}{18}\) = - \(\frac{1}{18}\)
d; \(\frac{5}{16}-\frac{5}{24}\)
= \(\frac{15}{48}\) - \(\frac{10}{48}\)
= \(\frac{5}{48}\)
e; - \(\frac{7}{30}\) + \(\frac{8}{45}\)
= \(-\frac{21}{90}\) + \(\frac{16}{90}\)
= - \(\frac{5}{90}\)
= - \(\frac{1}{18}\)
f; \(\frac{7}{12}-\frac{-9}{20}\)
= \(\frac{35}{60}\) + \(\frac{27}{60}\)
= \(\frac{62}{60}\)
= 31/30
h; - \(\frac48\) + \(-\frac{3}{10}\)
= -\(\frac{20}{40}-\frac{12}{40}\)
= - \(\frac{32}{40}\)
= - \(\frac45\)
\(a,MSC:180\\ Có:-5=\dfrac{-5.180}{180}=\dfrac{-900}{180};\dfrac{17}{-20}=\dfrac{17.\left(-9\right)}{\left(-9\right).\left(-20\right)}=\dfrac{-153}{180};\dfrac{-16}{9}=\dfrac{-16.20}{9.20}=\dfrac{-320}{180}\\ ---\\ b.MSC:75\\ Có:\dfrac{13}{-15}=\dfrac{13.\left(-5\right)}{\left(-15\right).\left(-5\right)}=\dfrac{-65}{75};\dfrac{-18}{25}=\dfrac{-18.3}{25.3}=\dfrac{-54}{75};-3=\dfrac{-3.75}{75}=\dfrac{-225}{75}\)
| Phân số | Đọc | Tử Số | Mẫu số |
| \(\dfrac{5}{7}\) | Năm phần bẩy | 5 | 7 |
| \(\dfrac{-6}{11}\) | âm sáu phần mười một | -6 | 11 |
| \(\dfrac{-2}{13}\) | âm hai phần ba | -2 | 13 |
| \(\dfrac{9}{-11}\) | chín phần âm mười một | 9 | -11 |









Câu a:
(x - 2020)^(x+ 1) - (x - 2020)^(x + 11) = 0
(x - 2020)^(x+1).[1 - (x -2020)^10 ] = 0
x - 2020 = 0 hoặc (x - 2020)^10 = 1
x - 2020 = 0
x = 2020
(x - 2020)^10 = 1
x - 2020 = - 1 hoặc x - 2020 = 1
x - 2020 = - 1
x = - 1 + 2020
x = 2019
x - 2020 = 1
x = 2020 + 1
x = 2021
Vậy x ∈ {2019; 2020; 2021}
Bài 8
a)
\(\left(\right. x - 2020 \left.\right)^{x + 1} - \left(\right. x - 2020 \left.\right)^{x + 11} = 0\) \(\left(\right. x - 2020 \left.\right)^{x + 1} \left[\right. 1 - \left(\right. x - 2020 \left.\right)^{10} \left]\right. = 0\) \(\Rightarrow x-2020=0\text{ ho}ặ\text{c }\left(\right.x-2020\left.\right)^{10}=1\) \(\Rightarrow x=2020\text{ ho}ặ\text{c }x=2019,\textrm{ }2021\) \(\boxed{x = 2019 , \textrm{ } 2020 , \textrm{ } 2021}\)
b)
\(\left(\right. x - 2015 \left.\right)^{x + 2} - \left(\right. x - 2015 \left.\right)^{x + 12} = 0\) \(\left(\right. x - 2015 \left.\right)^{x + 2} \left[\right. 1 - \left(\right. x - 2015 \left.\right)^{10} \left]\right. = 0\) \(\Rightarrow x-2015=0\text{ ho}ặ\text{c}\left(\right.x-2015\left.\right)^{10}=1\) \(\Rightarrow x=2015\text{ ho}ặcx=2014,\textrm{ }2016\) \(\boxed{x = 2014 , \textrm{ } 2015 , \textrm{ } 2016}\)
đúng thì cho mik tick nhé
Câu b:
(x - 2015)^(x+ 2) - (x - 2015)^(x+ 12) = 0
(x - 2015)^(x+2).[1 - (x - 2015)^10] = 0
x - 2015 = 0 hoặc (x - 2015)^10 = 1
x - 2015 = 0
x = 2015
(x - 2015)^10 = 1
x - 2015 = -1 hoặc x - 2015 = 1
x - 2015 = -1
x = - 1 + 2015
x = 2014
x - 2015 = 1
x = 1 + 2015
x = 2016
Vậy x ∈ {2014; 2015; 2016}