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5x( x - 7 ) - 40( x - 7 ) = 0
<=> ( x - 7 )( 5x - 40 ) = 0
<=> \(\orbr{\begin{cases}x-7=0\\5x-40=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=7\\x=8\end{cases}}\)
x( x + 5 ) - 7( x + 5 ) = 0
<=> ( x + 5 )( x - 7 ) = 0
<=> \(\orbr{\begin{cases}x+5=0\\x-7=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-5\\x=7\end{cases}}\)
Ta có: \(5x.\left(x-7\right)-40.\left(x-7\right)=0\)
=> \(\orbr{\begin{cases}5x-40=0\\x-7=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=8\\x=7\end{cases}}\)
Ta có: \(x.\left(x+5\right)-7.\left(x+5\right)=0\)
=> \(\orbr{\begin{cases}x-7=0\\x+5=0\end{cases}}\)
=> \(\orbr{\begin{cases}x=7\\x=-5\end{cases}}\)
Mình làm hơi tắt xíu :v ~~~
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|50-x|=40
=>50-x=40 hoặc 50-x=-40
x=50-40 x=50-(-40)
x=10 x=90
|100-x+5|=-7
vô lí
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1a) \(\frac{x-3}{x+7}=\frac{-5}{-6}\)
=> \(\frac{x-3}{x+7}=\frac{5}{6}\)
=> (x - 3).6 = 5.(x + 7)
=> 6x - 18 = 5x + 35
=> 6x - 5x = 35 + 18
=> x = 53
b) \(\frac{x-7}{x+3}=\frac{4}{3}\)
=> (x - 7). 3 = (x + 3). 4
=> 3x - 21 = 4x + 12
=> 3x - 4x = 12 + 21
=> -x = 33
=> x = -33
c) \(\frac{x-10}{6}=-\frac{5}{18}\)
=> (x - 10) . 18 = -5 . 6
=> 18x - 180 = -30
=> 18x = -30 + 180
=> 18x = 150
=> x = 150 : 18 = 25/3
d) \(\frac{x-2}{4}=\frac{25}{x-2}\)
=> (x - 2)(x - 2) = 25 . 4
=> (x - 2)2 = 100
=> (x - 2)2 = 102
=> \(\orbr{\begin{cases}x-2=10\\x-2=-10\end{cases}}\)
=> \(\orbr{\begin{cases}x=12\\x=-8\end{cases}}\)
e) \(\frac{7}{x}=\frac{x}{28}\)
=> 7 . 28 = x . x
=> 196 = x2
=> x2 = 142
=> \(\orbr{\begin{cases}x=14\\x=-14\end{cases}}\)
f) \(\frac{40+x}{77-x}=\frac{6}{7}\)
=> (40 + x) . 7 = (77 - x).6
=> 280 + 7x = 462 - 6x
=> 280 - 462 = -6x + 7x
=> -182 = x
=> x = -182
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\(\left(4x+7\right)^3=1728\)
\(\left(4x+7\right)^3=12^3\)
4x +7 = 12
4x = 12-7
4x = 5
x = \(\frac{5}{4}\)
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a,1/3.x+1/4=7/12
1/3.x=7/12-1/4
1/3.x=1/3
x=1/3:1/3
x=1
b,x-40%.x=-3,6
x^2-4 phần 100=-3,6
x^2 =-3,6+40phaanf 100
x^2=-3,2
x=-1,6