GIAIR DDAAYF DDUR GIUPS MINHF VOIWS AJ
MINHF CAMR OWN
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|x - 5| - |2x - 4| = 0
<=> |x - 5| = 0 + |2x - 4|
<=> |x - 5| = |2x - 4|
Xét 2 trường hợp: 2x - 4 = x - 5
2x - 4 = -(x - 5)
TH1: 2x - 4 = x - 5
<=> 2x - 4 - x = -5
<=> x - 4 = -5
<=> x = -5 + 4
<=> x = -1
TH2: 2x - 4 = -(x - 5)
<=> 2x - 4 = -x + 5
<=> 2x - 4 + x = 5
<=> 3x - 4 = 5
<=> 3x = 5 + 4
<=> 3x = 9
<=> x = 3
=> x = 3
Vậy: x = -1 hoặc x = 3
A person who make friend with you through letters is call a penpal
Rewrite the sentence ,use the word in parentheses:
There are two fridges,a table,four chairs in Thuong's kitchen. - ............Thuong's kitchen has 2 fridges, a table, four chairs..............
=> Thuong's kitchen has two fridges , a table , four chairs .
a, \(P=\left(\sqrt{x}-\dfrac{x+2}{\sqrt{x}+1}\right):\left(\dfrac{\sqrt{x}}{\sqrt{x}+1}-\dfrac{\sqrt{x}-4}{1-x}\right)\)
\(=\left(\dfrac{x+\sqrt{x}}{\sqrt{x}+1}-\dfrac{x+2}{\sqrt{x}+1}\right):\left[\dfrac{\sqrt{x}\left(\sqrt{x}-1\right)}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}+\dfrac{\sqrt{x}-4}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\right]\)
\(=\dfrac{\sqrt{x}-2}{\sqrt{x}+1}:\dfrac{x-4}{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}\)
\(=\dfrac{\sqrt{x}-2}{\sqrt{x}+1}.\dfrac{\left(\sqrt{x}+1\right)\left(\sqrt{x}-1\right)}{\left(\sqrt{x}+2\right)\left(\sqrt{x}-2\right)}\)
\(=\dfrac{\sqrt{x}-1}{\sqrt{x}+2}\)
b, \(P< \dfrac{1}{2}\Leftrightarrow\dfrac{\sqrt{x}-1}{\sqrt{x}+2}< \dfrac{1}{2}\)
\(\Leftrightarrow2\sqrt{x}-2< \sqrt{x}+2\)
\(\Leftrightarrow\sqrt{x}< 4\)
\(\Leftrightarrow0\le x< 16\)
Vậy \(0\le x< 16;x\ne1;x\ne4\).