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5^6+5^7+5^8
=5^6.(1+5+5^2)
=5^6.31 chia hết cho 31
7^6+7^5-7^4
=7^4.(7^2+7-1)
=7^4.55 chia hết cho 11
BÀI 2:
a) \(5^6+5^7+5^8=5^6\left(1+5+5^2\right)=5^6.31\) \(⋮\)\(31\)
b) \(7^6+7^5-7^4=7^4.\left(7^2+7-1\right)=7^4.55\)\(⋮\)\(11\)
c) \(2^3+2^4+2^5=2^3.\left(1+2+2^2\right)=2^3.7\)\(⋮\)\(7\)
d) mk chỉnh đề
\(1+2+2^2+2^3+...+2^{59}\)
\(=\left(1+2\right)+\left(2^2+2^3\right)+...+\left(2^{58}+2^{59}\right)\)
\(=\left(1+2\right)+2^2\left(1+2\right)+...+2^{58}\left(1+2\right)\)
\(=\left(1+2\right)\left(1+2^2+...+2^{58}\right)\)
\(=3\left(1+2^2+...+2^{58}\right)\)\(⋮\)\(3\)
a. \(\frac{-3}{2}-2x+\frac{3}{4}=-22\)2
=> \(-2x=-22+\frac{3}{2}-\frac{3}{4}\)
=> \(-2x=\frac{-85}{4}\)
=> \(x=\frac{-85}{4}:\left(-2\right)\)
=> \(x=\frac{85}{8}\)
b. \(\left(\frac{-2}{3}x-\frac{3}{5}\right).\left(\frac{3}{-2}-\frac{10}{3}\right)=\frac{2}{5}\)
=> \(\left(\frac{-2}{3}x-\frac{3}{5}\right).\frac{-29}{6}=\frac{2}{5}\)
=> \(\frac{-2}{3}x-\frac{3}{5}=\frac{2}{5}:\left(\frac{-29}{6}\right)\)
=> \(\frac{-2}{3}x-\frac{3}{5}=\frac{-12}{145}\)
=> \(\frac{-2}{3}x=\frac{-12}{145}+\frac{3}{5}\)
=> \(\frac{-2}{3}x=\frac{15}{29}\)
=> x = \(\frac{15}{29}:\frac{-2}{3}\)
=> x = \(\frac{-45}{58}\)
a ) 10 x X - 1 - 3 - 5 - 7 - ... - 19 = 2 + 4 + 6 + ... + 20
10 x X - 1 - 3 - 5 - 7 - ... - 19 = 110
10 x X - ( 1 + 3 + 5 + 7 + ... + 19 ) = 110
10 x X - 100 = 110
10 x X = 110 + 100
10 x X = 210
X = 210 : 10
X = 21
a) \(\frac{37-2\times\left(y-3,25\right)}{5}=7,06\)
=> \(37-2\times\left(y-3,25\right)=7,06\times5\)
=> \(37-2\times\left(y-3,25\right)=35,3\)
=> \(2\times\left(y-3,25\right)=37-35,3=1,7\)
=> \(y-3,25=1,7:2=0,85\)
=> y = 0,85 + 3,25 = 4,1
Tới khúc này là dẫn đến tìm x chứ không tìm y nx ...
Sửa câu b lại đi
c) \(\frac{5}{12}\times\left(8+x\right)-\frac{1}{5}\times\left(\frac{15}{4}+x\right)=15\)
=> \(\frac{10}{3}+\frac{5}{12}x-\frac{3}{4}+\frac{1}{5}x=15\)
=> \(\left(\frac{10}{3}-\frac{3}{4}\right)-\left(\frac{5}{12}x-\frac{1}{5}x\right)=15\)
=> \(\frac{31}{12}+\frac{13}{60}x=15\)
=> \(\frac{13}{60}x=15-\frac{31}{12}=\frac{149}{12}\)
=> \(x=\frac{149}{12}:\frac{13}{60}=\frac{149}{12}\cdot\frac{60}{13}=\frac{745}{13}\)
Làm nốt câu d nhé
\(a̸\)
\(\frac{3}{5}-\frac{1}{2}.x=\frac{1}{4}\)
\(\frac{1}{2}.x=\frac{3}{5}-\frac{1}{4}\)
\(\frac{1}{2}.x=\frac{7}{20}\)
\(\Rightarrow\frac{7}{10}\)
\(b̸\)
\(11,3+2\left[x-\frac{1}{3}\right]=\frac{25}{6}\)
\(2\left[x-\frac{1}{3}\right]=\frac{25}{6}-11,3\)
\(2\left[x-\frac{1}{3}\right]=\frac{-107}{15}\)
\(x-\frac{1}{3}=\frac{-107}{15}:2\)
\(x-\frac{1}{3}=\frac{-107}{30}\)
\(x=\frac{-107}{30}+\frac{1}{3}\)
\(x=\frac{-97}{30}\)
\(a)\frac{3}{5}-\frac{1}{2}x=\frac{1}{4}\)
\(\implies\frac{1}{2}x=\frac{3}{5}-\frac{1}{4}\)
\(\implies\frac{1}{2}x=\frac{7}{20}\)
\(\implies x=\frac{7}{20}:\frac{1}{2}\)
\(\implies x=\frac{7}{10}\)
Vậy...
\(b) 11,3+2(x-\frac{1}{3})=\frac{25}{6}\)
\(\implies \frac{113}{10}+2x-2.\frac{1}{3}=\frac{25}{6}\)
\(\implies \frac{113}{10}+2x-\frac{2}{3}=\frac{25}{6}\)
\(\implies \frac{113}{10}+2x=\frac{25}{6}+\frac{2}{3}\)
\(\implies \frac{113}{10}+2x=\frac{29}{6}\)
\(\implies 2x=\frac{29}{6}-\frac{113}{10}\)
\(\implies 2x=\frac{-97}{15}\)
\(\implies x=\frac{-97}{30}\)
Vậy..
\(c)5x-435+2x+140+3x=565\)
\(\implies (5x+2x+3x)+(-435+140)=565\)
\(\implies 10x+(-295)=565\)
\(\implies 10x=565-(-295)\)
\(\implies 10x=860\)
\(\implies x=86\)
Vậy...
~ hok tốt a~
a) = 17/19 - 17/19 + 27/35 + 35/35 = 0 + 62/35
b) = 1/3 x 4/5 + 1/3 x6/5 + 1/3 x 2 = 1/3(4/5 + 6/5 + 2) = 1/3 x 4 = = 4/3
c) 4/7 x 2/9 + 4/7 x 7/9 + 2/3 = 4/7 x (2/9 + 7/9) + 2/3 = 4/7 x 1 + 2/3 = 26/21
A) 17/19 - 17/19 + 27/35 + 35/35 = 0 + 62/35
B) 1/3 x 4/5 + 1/3 x 6/5 + 1/3 x 2 = 1/3 x(4/5 + 6/5 x 2 ) = 1/3 x 4 = 4/3
c) TƯƠNG TỰ CÂU A VÀ B
* HOKTOT*
NHA
a) \(3\left(2-x\right)+5\left(x-6\right)=98\)
\(\Rightarrow6-3x+5x-30=98\)
\(\Rightarrow\left(6-30\right)+\left(-3x+5x\right)=98\)
\(\Rightarrow-24+2x=98\)
\(\Rightarrow2x=98-\left(-24\right)\)
\(\Rightarrow2x=122\)
\(\Rightarrow x=122:2\)
\(\Rightarrow x=61\)
Vậy x = 61
b) \(3x-2=2x-3\)
\(\Rightarrow3x-2x=2-3\)
\(\Rightarrow x=-1\)
Vậy x = -1
c) \(\left(x-7\right)\left(x^3-8\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-7=0\\x^3-8=0\end{cases}}\Rightarrow\orbr{\begin{cases}x-7=0\\x^3=8\end{cases}}\Rightarrow\orbr{\begin{cases}x=7\\x=2\end{cases}}\)
Vậy x = 7 hoặc x = 2
_Chúc bạn học tốt_
a.6-3X+5X-30=98
2X-24=98
2X=74
X=37
b.3X-2X=2-3
X=-1
c.X-7=0 X=7
X^3-8=0 X=2
a) 2.(5 +3 .x) + x =31
10 + 6.x + x = 31
6x + x = 31-10
7x = 21
x = 21:7
x=3
Vậy x=3
b) ( 3x -7 ) +2 . (5-2x) + 5x = 19
3x - 7 + 10 - 4x + 5x = 19
3x - 4x + 5x = 19 + 7 - 10
4x = 16
x = 16:4
x = 4
Vậy x=4
\(a,2\left(5+3x\right)+x=31\)
\(10+6x+x=31\)
\(10+7x=31\)
\(7x=21\)
\(x=3\)
\(b,\left(3x-7\right)+2\left(5-2x\right)+5x=19\)
\(3x-7+10-4x+5x=19\)
\(4x+3=19\)
\(4x=16\)
\(x=4\)