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1/53+-1/106+-1/159=|x|/318
6/318+-3/318+-2/318=|x|/318
1/318=|x|/318
=>|x|=1
x=1 hoặc x=-1
a.\(x+3\sqrt{x}=0\)
\(ĐK:x\ge0\)
\(\Leftrightarrow\sqrt{x}\left(\sqrt{x}+3\right)=0\)
\(\Leftrightarrow x=0\) ( vì \(\sqrt{x}+3\ge3>0\) )
b.\(x-3\sqrt{x}=0\)
\(ĐK:x\ge0\)
\(\Leftrightarrow\sqrt{x}\left(\sqrt{x}-3\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=9\end{matrix}\right.\)
Bài 2:
a: =>x=0 hoặc x=-3
b: =>x-2=0 hoặc 5-x=0
=>x=2 hoặc x=5
c: =>x-1=0
hay x=1
a) \(\left(x-2\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=0\\x+1=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-1\end{matrix}\right.\)
b) \(\left(x^2+5\right)\left(x^2-25\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x^2+5=0\\x^2-25=0\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x^2=-5\\x^2=25\end{matrix}\right.\) \(\Leftrightarrow x^2=25\) \(\Leftrightarrow x=\pm5\)
\(a,\dfrac{-5}{x-3}< 0\Leftrightarrow x-3>0\left(-5< 0\right)\Leftrightarrow x>3\\ b,\dfrac{3-x}{x^2+1}\ge0\Leftrightarrow3-x\ge0\left(x^2+1>0\right)\Leftrightarrow x\le3\\ c,\dfrac{\left(x-1\right)^2}{x-2}< 0\Leftrightarrow x-2< 0\left[\left(x-1\right)^2\ge0\right]\Leftrightarrow x< 2\)
=> \(\frac{1}{53}\)+ \(\frac{-1}{106}\)+\(\frac{-1}{159}\)= \(\frac{\left|x\right|}{318}\)
=> \(\frac{1}{318}\)= \(\frac{\left|x\right|}{318}\)
=> x thuộc {1; -1}
\(\left(1-\frac{52}{53}\right)+\left(\frac{105}{106}-1\right)+\left(\frac{158}{159}-1\right)=\frac{\left|x\right|}{318}\)
\(\Rightarrow\frac{1}{53}+\frac{-1}{106}+\frac{-1}{159}=\frac{\left|x\right|}{318}\)
\(\Rightarrow\frac{1}{318}=\frac{\left|x\right|}{318}\)
\(\Rightarrow\left|x\right|=1\)
\(\Rightarrow x=\pm1\)
Vậy..............................
a) \(x-53+x-527+x-519=0\\ \Rightarrow3x-1099=0\\ \Rightarrow x=\dfrac{1099}{3}\)
b) \(x+1015+x-1035+x-1237=-3\\ \Rightarrow3x-1257=-3\\ \Rightarrow3x=-1260\\ \Rightarrow x=-420\)
c) \(x+120+x+129+x+318=x+417+x+516+x+615\\ \Rightarrow x+120+x+129+x+318-x-417-x-516-x-615=0\\ \Rightarrow-981=0\left(vôlí\right)\)
a. x - 53 + x - 517 + x - 519 = 0
<=> x + x + x = 519 + 517 + 53
<=> 3x = 1089
<=> x = 363
b. x + 1015 + x - 1035 + x - 1237 = -3
<=> x + x + x = -3 - 1015 + 1035 + 1237
<=> 3x = 1254
<=> x = 418
c. x + 120 + x 219 + x + 318 = x + 417 + x + 516 + x + 615
<=> x + x - x - x - x = 417 + 516 + 615 - 120 - 219 - 318
<=> -x = 891
<=> x = -891
d. Ko có kết quả ko tìm đc x nha bn, bn xem lại đề rồi nhắc mik.