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Bài 4
c, \(\left|x-\dfrac{1}{2}\right|=-3\)( vô lí )
vì |x-1/2| >=0 ; -3 < 0
e, \(\left(x+\dfrac{1}{5}\right)^3=\left(-3\right)^3\Rightarrow x+\dfrac{1}{5}=-3\Leftrightarrow x=-3-\dfrac{1}{5}=\dfrac{-16}{5}\)
f, \(\left(\dfrac{1}{4x}+2\right)^4=3^4\Rightarrow\dfrac{1}{4x}=1\Leftrightarrow1=4x\Leftrightarrow x=\dfrac{1}{4}\)
B5:
c.
\(\dfrac{x+2}{4}=\dfrac{x-1}{3}\)
<=> \(\dfrac{3\left(x+2\right)}{12}=\dfrac{4\left(x-1\right)}{12}\)
<=> 3x + 6 = 4x - 4
<=> 3x + 6 - 4x + 4 = 0
<=> 10 - x =0
=> x = 10
e.
\(\dfrac{2\left(x-1\right)}{3}=\dfrac{x+5}{2}\)
<=> \(\dfrac{2.2.\left(x-1\right)}{6}=\dfrac{3\left(x+5\right)}{6}\)
<=> \(\dfrac{4\left(x-1\right)}{6}=\dfrac{3x+15}{6}\)
<=> 4x - 4 = 3x + 15
<=> 4x - 4 - 3x - 15 = 0
<=> x - 19 =0
=> x = 19
f.
\(\dfrac{-6\left(6-x\right)}{-42}=\dfrac{7\left(x+8\right)}{-42}\)
<=> \(-36+6x=7x+56\)
<=> 6x - 36 - 7x - 56 = 0
<=> - x - 92 = 0
=> -x = 92
=> x = -92
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