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29 tháng 12 2023

\(\left(x-5\right)^5=\left(x-5\right)^{15}\)

\(\left(x-5\right)^{15}-\left(x-5\right)^5=0\)

\(\left(x-5\right)^5\left[\left(x-5\right)^{10}-1\right]=0\)

\(\left(x-5\right)^5=0\) hoặc \(\left(x-5\right)^{10}-1=0\)

*) \(\left(x-5\right)^5=0\)

\(x-5=0\)

\(x=5\)

*) \(\left(x-5\right)^{10}-1=0\)

\(\left(x-5\right)^{10}=1\)

\(x-5=1\) hoặc \(x-5=-1\)

+) \(x-5=1\)

\(x=1+5\)

\(x=6\)

+) \(x-5=-1\)

\(x=-1+5\)

\(x=4\)

Vậy \(x=4;x=5;x=6\)

27 tháng 7 2023

1) \(2^3\times x-5^2\times x=2\times\left(5^2+2^2\right)-33\)

\(x\times\left(2^3-5^2\right)=2\times\left(25+4\right)-33\)

\(x\times\left(8-25\right)=2\times29-33\)

\(x\times-17=25\)

\(x=-\dfrac{25}{17}\)

2) \(15\div\left(x+2\right)=\left(3^3+3\right)\div1\)

\(15\div\left(x+2\right)=\left(27+3\right)\div1\)

\(15\div\left(x+2\right)=30\div1\)

\(15\div\left(x+2\right)=30\)

\(x+2=\dfrac{1}{2}\)

\(x=-\dfrac{3}{2}\)

3) \(20\div\left(x+1\right)=\left(5^2+1\right)\div13\)

\(20\div\left(x+1\right)=\left(25+1\right)\div13\)

\(20\div\left(x+1\right)=26\div13\)

\(20\div\left(x+1\right)=2\)

\(x+1=20\div2\)

\(x+1=10\)

\(x=9\)

27 tháng 7 2023

4) \(320\div\left(x-1\right)=\left(5^3-5^2\right)\div4+15\)

\(320\div\left(x-1\right)=\left(125-25\right)\div4+15\)

\(320\div\left(x-1\right)=100\div4+15\)

\(320\div\left(x-1\right)=25+15\)

\(320\div\left(x-1\right)=40\)

\(x-1=8\)

\(x=9\)

5) \(240\div\left(x-5\right)=2^2\times5^2-20\)

\(240\div\left(x-5\right)=4\times25-20\)

\(240\div\left(x-5\right)=100-20\)

\(240\div\left(x-5\right)=80\)

\(x-5=30\)

\(x=35\)

6) \(70\div\left(x-3\right)=\left(3^4-1\right)\div4-10\)

\(70\div\left(x-3\right)=\left(81-1\right)\div4-10\)

\(70\div\left(x-3\right)=80\div4-10\)

\(70\div\left(x-3\right)=20-10\)

\(70\div\left(x-3\right)=10\)

\(x-3=7\)

\(x=10\)

24 tháng 3 2023

 a,  \(\dfrac{5\times11\times15\times18}{6\times15\times22\times10}\)

\(\dfrac{5\times11\times15\times6\times3}{6\times15\times11\times2\times2\times5}\)

\(\dfrac{5\times11\times15\times6}{5\times11\times15\times6}\) \(\times\) \(\dfrac{3}{2\times2}\)

= 1 \(\times\) \(\dfrac{3}{4}\)

\(\dfrac{3}{4}\)

b, \(\dfrac{7}{12}\) \(\times\) \(\dfrac{3}{5}\) + \(\dfrac{3}{5}\) \(\times\) \(\dfrac{5}{12}\)

\(\dfrac{3}{5}\) \(\times\) ( \(\dfrac{7}{12}+\dfrac{5}{12}\))

\(\dfrac{3}{5}\) \(\times\) \(\dfrac{12}{12}\)

\(\dfrac{3}{5}\) \(\times\) 1 

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

a: \(\dfrac{5}{3}\cdot\dfrac{7}{10}=\dfrac{5}{10}\cdot\dfrac{7}{3}=\dfrac{14}{3}>2\)

\(\dfrac{5}{7}:\dfrac{7}{10}=\dfrac{5}{7}\cdot\dfrac{10}{7}=\dfrac{50}{49}< 2\)

=>\(\dfrac{5}{3}\cdot\dfrac{7}{10}>\dfrac{5}{7}:\dfrac{7}{10}\)

b: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{4}{6}=\dfrac{2}{3}\)

\(\dfrac{8}{9}:\dfrac{4}{3}=\dfrac{8}{9}\cdot\dfrac{3}{4}=\dfrac{8}{4}\cdot\dfrac{3}{9}=\dfrac{2}{3}\)

Do đó: \(\dfrac{4}{5}\cdot\dfrac{5}{6}=\dfrac{8}{9}:\dfrac{4}{3}\)

c: \(\dfrac{5}{11}\cdot\dfrac{33}{15}=\dfrac{5}{15}\cdot\dfrac{33}{11}=\dfrac{3}{3}=1\)

\(\dfrac{6}{17}\cdot\dfrac{34}{25}=\dfrac{34}{17}\cdot\dfrac{6}{25}=2\cdot\dfrac{6}{25}=\dfrac{12}{25}< 1\)

=>\(\dfrac{5}{11}\cdot\dfrac{33}{15}>\dfrac{6}{17}\cdot\dfrac{34}{25}\)

d: \(\dfrac{15}{19}\cdot\dfrac{38}{5}=\dfrac{15}{5}\cdot\dfrac{38}{19}=3\cdot2=6\)

\(\dfrac{15}{16}:\dfrac{3}{8}=\dfrac{15}{16}\cdot\dfrac{8}{3}=\dfrac{15}{3}\cdot\dfrac{8}{16}=\dfrac{5}{2}\)<6

=>\(\dfrac{15}{19}\cdot\dfrac{38}{5}>\dfrac{15}{16}:\dfrac{3}{8}\)

10 tháng 7 2023

`1, -2/9 xx 15/17 + (-2/9) xx 2/17`

`= -2/9 xx (15/17 + 2/17)`

`= -2/9 xx 17/17`

`=-2/9xx1`

`=-2/9`

__

`-5/3 xx 6/5 + (-7/9) xx 3/10`

`= -30/15 + (-21/90)`

`= -2 + (-7/30)`

`=-60/30 +(-7/30)`

`=-67/30`

__

`15/20 xx 7/5 + (-9/7) xx (-6/4)`

`=3/4 xx7/5 + (-9/7) xx(-6/4)`

`= 21/20 + 54/28`

`= 21/20 + 27/14`

`=417/140`

__

`-25/13 xx 5/19 + (-25/13) xx 14/19`

`=-25/13 xx (5/19 +14/19)`

`=-25/13 xx 19/19`

`= -25/13 xx 1`

`=-25/13`

__

`-7/13 xx 13/5 + (-9/7) xx 5/3`

`=-7/5 +(-15/7)`

`=-124/35`

8 tháng 4 2017

1) -5 . x - ( - 3 )  = 13

-5 . x + 3 = 13

-5 . x = 13 - 3

-5 . x =10

x= 10 :  ( -5 )

x = -2

2) 3 . x  + 17 = 2

3 . x = 2 - 17

3 . x = -15

x = -15 : 3

x =  -5

3) (-5) . x =15

x = -3

4) 2x - (-17) = 15

2x + 17 = 15

2x = -2

x = -2 : 2

x= -1

5) -12 . ( x - 5 ) + 7 .(3-x) = 5

25 tháng 2 2018

1=10

2=-5

3=-1

4=5

19 tháng 1 2022

a, thiếu đề 

b, -5 ( 2 - x ) + 4 ( x - 3 ) = 10x - 15 

<=> -10 + 5x + 4x - 12 = 10x - 15 

<=> -x = 7 <=> x = 7 

c,-7(5-x)-2(x-10)=15

<=> -35 + 7x - 2x + 20 = 15 <=> 5x = 30 <=> x = 6 

d, -4(x+1) + 89x - 3 = 24 

<=> 85x = 31 <=> x = 31/85 

e, 5(x-30-2(x+6)) = 9 

<=> 5 (-x-49) = 9 <=> -5x = 254 <=> x = -254/5 

b: =>-10+5x+4x-12=10x-15

=>9x-10x=-15+22

=>-x=7

hay x=-7

c: =>-35+7x-2x+20=15

=>5x-15=15

=>x=6

d: =>-4x-4+72x-24=24

=>68x-32=24

hay x=14/17

1: =-2/9(15/17+2/17)=-2/9

2: \(=\dfrac{-6}{3}+\dfrac{-21}{90}\)

=-2-7/30=-67/30

3: \(=\dfrac{3}{4}\cdot\dfrac{7}{5}+\dfrac{9}{7}\cdot\dfrac{3}{2}\)

=21/20+27/14=417/140

4: =-25/13(5/19+14/19)=-25/13

5: =-7/5-45/21=-7/5-15/7=-124/35

10 tháng 7 2023

1: =-2/9(15/17+2/17)=-2/9

2: =−63+−2190=−63+−2190

=-2-7/30=-67/30

3: =34⋅75+97⋅32=34⋅75+97⋅32

=21/20+27/14=417/140

4: =-25/13(5/19+14/19)=-25/13

5: =-7/5-45/21=-7/5-15/7=-124/35

15 tháng 1 2019

\(\left|x\right|=\left|-5\right|-\left|-10\right|+15\)

\(\Rightarrow\left|x\right|=5-10+15\)

\(\Rightarrow\left|x\right|=10\)

\(\Rightarrow x=\pm10\)

\(\left|x\right|=-(-12)+(-15)+8\)

\(\Rightarrow\left|x\right|=+12+(-15)+8\)

\(\Rightarrow\left|x\right|=12+(-15)+8\)

\(\Rightarrow\left|x\right|=(-3)+8\)

\(\Rightarrow\left|x\right|=5\)

\(\Rightarrow x=\pm5\)

Bài dưới tương tự

15 tháng 1 2019

|x|=|−5|−|−10|+15

⇒|x|=5−10+15

⇒|x|=10

⇒x=±10

|x|=−(−12)+(−15)+8

⇒|x|=+12+(−15)+8

⇒|x|=12+(−15)+8

⇒|x|=(−3)+8

⇒|x|=5

⇒x=±5

25 tháng 6 2015

\(x-5+x-5+x-5=15\)

\(\left(x-5\right)\times3=15\)

\(x-5=15\div3\)

\(x-5=5\)

\(x=5+5\)

\(x=10\)

25 tháng 6 2015

Ta có: x-5+x-5+x-5=15

=>(x-5).3=15

=>x-5=15:3

=>x-5=5

=>x=5+5

=>x=10