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(x-7)/36=4/(x-7)
=> (x-7)2 = 4x36=144
=> x-7 =12 hoặc -x+7 = 12
=> x=19 hoặc x = -5
\(\Leftrightarrow\)(x-7)(7-x)=-144
\(\Leftrightarrow\)-\(x^2\)+14x - 49 = - 144
\(\Leftrightarrow\)-x\(^2\)+ 14x + 95 = 0
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=-5\\x=19\end{cases}}\)

Mik nghĩ là bạn ghi sai đề nên mik sửa lại lun
\(\dfrac{x-7}{36}=\dfrac{4}{7-x}\)
\(\Leftrightarrow\left(x-7\right)\left(7-x\right)=36.4\)
\(\Leftrightarrow\left(x-7\right)^2=144\)
\(\Leftrightarrow\left(x-7\right)^2=\left(\pm12\right)^2\)
\(\Leftrightarrow\left[{}\begin{matrix}x-7=12\\x-7=-12\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=12+7=19\\x=-12+7=-5\end{matrix}\right.\)
Vậy \(x=\left\{19;-5\right\}\)
Đề không sai bạn ạ, 4 dòng đầu tiên của bạn mình thấy không đúng nên sửa lại nè :
\(\dfrac{x-7}{36}=\dfrac{-4}{7-x}=\dfrac{4}{x-7}\)
\(\Rightarrow\left(x-7\right)\left(x-7\right)=36\cdot4\)
\(\Rightarrow\left(x-7\right)^2=144\)
Rồi cứ thế làm tiếp thôi

1)\(x=\left(\dfrac{1}{5}+\dfrac{2}{3}\right):\dfrac{4}{7}=\left(\dfrac{3}{15}+\dfrac{10}{15}\right):\dfrac{4}{7}=\dfrac{13}{15}:\dfrac{4}{7}=\dfrac{91}{60}\)
2)\(x=\left(-\dfrac{3}{10}-\dfrac{3}{4}\right):\dfrac{1}{2}=\left(-\dfrac{6}{20}-\dfrac{15}{20}\right):\dfrac{1}{2}=-\dfrac{21}{20}:\dfrac{1}{2}=-\dfrac{21}{10}\)
3)\(x=-\dfrac{24}{36}-\dfrac{7}{15}=-\dfrac{2}{3}-\dfrac{7}{15}=\dfrac{-10}{15}-\dfrac{7}{15}=-\dfrac{17}{15}\)
1) \(\dfrac{4}{7}x=\dfrac{1}{5}+\dfrac{2}{3}\)
\(\dfrac{4}{7}x=\dfrac{13}{15}\)
\(x=\dfrac{91}{60}\)
2) \(\dfrac{1}{2}x=-\dfrac{3}{10}-\dfrac{3}{4}\)
\(\dfrac{1}{2}x=-\dfrac{21}{20}\)
\(x=-\dfrac{21}{10}\)
3) \(x=-\dfrac{24}{36}-\dfrac{7}{15}\)
\(x=\dfrac{-2}{3}+\dfrac{7}{15}\)
\(x=-\dfrac{17}{15}\)

41 x 36 + 59 x 90 + 41 x 84 + 59 x 30
= 41 x (36 + 84) + 59 x ( 90 + 30 )
= 41 x 120 + 59 x 120
= 120 x ( 41 + 59 )
= 120 x 100
= 12000
4 x 51 x 7 + 2 x 86 x 7 + 12 x 2 x 7
= 7 x ( 51 x 4 + 86 x 2 + 12 x 2 )
= 7 x ( 204 + 172 + 24 )
= 7 x 400
=2800
41x 36 +59 x 90 +41 x84 +59 x 30
=41x (36+84) +59 x (90+30)
=41 x 120 + 59x 120
=120 x (41+59)
=120x 100
=12000
4x 51 x 7 + 2 x 86 x 7 + 12 x 2 x 7
=7x (51 x 4 + 86 x 2 - 12 x 2 )
=7x ( 204+ 172 + 24 )
= 7x 400
=2800

( 2 x y + 2/15 ) x 3 = 4/5
( 2 x y + 2/15 ) = 4/5 : 3
( 2 x y + 2/15 ) = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 :2
y = 1/15
(2 x y + 2/15) x 3 = 4/5
2 x y + 2/15) = 4/5 : 3
2 x y + 2/15 = 4/15
2 x y = 4/15 - 2/15
2 x y = 2/15
y = 2/15 : 2
y = 1/15
7/9 x (2 - 1/3 x y) = 14/15
(2 - 1/3 x y) = 14/15 : 7/9
(2 - 1/3 x y) = 6/5
2 - y = 6/5 x 1/3
2 - y = 2/5
y = 2/5 + 2
y = 12/5
4/21 + 5 x y - 8/7 = 1/3
4/21 + 5 x y = 1/3 + 8/7
4/21 + 5 x y = 31/21
5 x y = 31/21 - 4/21
5 x y = 9/7
y = 9/7 : 5
y = 9/35
7/12 x y - 3/12 x y = 5
y x (7/12 - 3/12) = 5
y x 1/3 = 5
y = 5 : 1/3
y = 15

a. 37-7.(x+1)=40-8.3
37 - 7(x+1) = 16
7(x+1) = 21
x+1 = 3
x=2
b. (x+5).3=11=10+(3+4).4
(sao có 2 dấu bằng, dấu nào là dấu cộng do viết nhầm ???)
c. 25-5.3+4.10=100-5.x
50 = 100 - 5x
5x = 50
x=10
d. 36+2.(x-7)=12+8.(3+5)-36
36 + 2(x-7) = 40
2(x-7) = 4
x-7 =2
x=9
e. 3.(x+7)-9=11.5-5-8
3(x+7) - 9 = 42
3(x+7) = 51
x+7 = 17
x=10

\(\frac{x-7}{36}=-\frac{4}{7-x}\)
\(\frac{x-7}{36}=\frac{4}{x-7}\)
\(\Rightarrow\left(x-7\right)^2=36.4=144\)
\(\left(x-7\right)^2=12^2\)
\(\Rightarrow\orbr{\begin{cases}x-7=12\Rightarrow x=12+7=19\\x-7=-12\Rightarrow x=-12+7=-5\end{cases}}\)

a: =7/8:(2/9-18+1/36)-5/12
=-7/142-5/12=-397/852
b: =3/7(4/9+5/9:6/12)=2/3
c: =5^8(16/31-47/31)+1/3=-5^8+1/3
d: =7/2(3/8+5/8:4/15)=609/64

a.219 - 7(x+1) = 100
7(x+1) = 219 - 100
7(x+1) = 119
x + 1 = 119 : 7
x + 1 = 17
x = 17 - 1
x = 16
b. (3x - 6 ) . 3 = 36
3x - 6 = 36 : 3
3x - 6 = 12
3x = 12 + 6
3x = 18
x = 18 : 3
x = 6
c.716 - ( x-143) = 659
x-143 = 716 - 659
x-143 = 57
x = 57 + 143
x = 200
b. 30 - [4(x-2)+15] = 3
4(x-2) + 15 = 30 - 3
4(x-2)+15 = 27
4(x-2) = 27 - 15
4(x-2) = 12
x-2 = 12 : 4
x-2 = 3
x = 2 + 3 = 5
e.[(8x - 12) : 4] .33 = 36
[(8x - 12) : 4] . 27 = 729
(8x - 12) : 4 = 729 : 27 = 27
8x - 12 = 27 . 4 = 108
8x = 108 + 12 = 120
x = 120 : 8 = 15
a) \(\Leftrightarrow7\left(x+1\right)=119\\ \Leftrightarrow x+1=17\\ \Leftrightarrow x=16\)
b) \(\Leftrightarrow9\left(x-2\right)=36\\ \Leftrightarrow x-2=4\\ \Leftrightarrow x=6\)
c) \(\Leftrightarrow x-143=57\\ \Leftrightarrow x=200\)
d) \(\Leftrightarrow4\left(x-2\right)+15=27\\ \Leftrightarrow4\left(x-2\right)=12\\ \Leftrightarrow x-2=3\\ \Leftrightarrow x=5\)
e) \(\Leftrightarrow\left(2x-3\right).4:4=3^3\\ \Leftrightarrow2x-3=27\\ \Leftrightarrow2x=24\\ \Leftrightarrow x=12\)

\(a)-36:x=\frac{30}{7}\)
\(\Rightarrow x=-36:\frac{30}{7}\)
\(\Rightarrow x=-36\cdot\frac{7}{30}\)
\(\Rightarrow x=\frac{-36\cdot7}{30}\)
\(\Rightarrow x=-\frac{126}{15}\)
\(b)\frac{2}{3}\cdot x-\frac{4}{8}=\frac{1}{8}\)
\(\Rightarrow\frac{2}{3}\cdot x=\frac{1}{8}+\frac{4}{8}\)
\(\Rightarrow\frac{2}{3}\cdot x=\frac{5}{8}\)
\(\Rightarrow x=\frac{5}{8}:\frac{2}{3}=\frac{15}{16}\)
\(c)\frac{2}{7}-\frac{8}{9}x=\frac{2}{3}\)
\(\Rightarrow\frac{8}{9}x=\frac{2}{7}-\frac{2}{3}\)
\(\Rightarrow\frac{8}{9}x=\frac{6}{21}-\frac{14}{21}\)
\(\Rightarrow\frac{8}{9}x=\frac{-8}{21}\)
\(\Rightarrow x=\frac{-8}{21}:\frac{8}{9}=\frac{-72}{168}=\frac{-3}{7}\)
d, Tự làm
x-7/36=-4/7-x
=) x+x= 7/36-4/7
=) 2x= 49- 144/ 252
=) 2x= -95/ 252
=) x= -95/ 504