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\(x^2\left(x^2+4\right)-x^2-4=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-1\end{matrix}\right.\)
x2.(x2 + 4) - x2 - 4=0
⇒ x2.(x2 + 4) - (x2 + 4) =0
⇒ (x2 + 4) .(x2 - 1) = 0
\(\Rightarrow\left[{}\begin{matrix}x^2+4=0\\x^2-1=0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x^2=-4\\x^2=1\end{matrix}\right.\)(loại do x2 ≥ 0) \(\Rightarrow x=\pm1\)
\(x\left(x-3\right)-12+4x=0\)
\(\Leftrightarrow x^2-3x-12+4x=0\)
\(\Leftrightarrow x^2+x-12=0\)
\(\Leftrightarrow\left(x-3\right)\left(x+4\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-3=0\\x+4=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=3\\x=-4\end{cases}}\)
x(x-2010)-2011x+2010.2011=0
x(x-2010)-2011(x-2010)=0
(x-2010)(x-2011)=0
TH 1: TH 2:
x-2010=0 x-2011=0
=> x=2010 =>x=2011
vậy x=2010 hoặc x=2011
x = 2 hoặc = 6
Cách làm:
x2 - 8x + 12 = 0
x2 - 6x - 2x + 12 = 0
( x2 - 6x ) - ( 6x - 12 ) = 0
x . ( x - 2 ) - 6 . ( x - 2 ) = 0
( x - 2 ) . ( x - 6 ) = 0
\(\Rightarrow\hept{\begin{cases}x-2=0\\x-6=0\end{cases}}\hept{\begin{cases}x=2\\x=6\end{cases}}\)
x(x+2015)+(2x+4030)=0
x(x+2015)+2(x+2015)=0
(x+2)(x+2015)=0
x+2=0 hoặc x+2015=0
x= -2 hoặc x= -2015
2010x2 + -1x + -2011 = 0
<=> -2011 + -1x + 2010x2 = 0
<=> -2011 + -1x + 2010x2 = 0
<=> (-1 + -1x)(2011 + -2010x) = 0
=> -1 + -1x = 0 hoặc 2011 + (-2010x) = 0
=> x = -1 hoặc x = \(\frac{2011}{2010}\)
\(\left(x-1\right).3+3x\left(x-4\right)+1=0\)
\(\Rightarrow3x-3+3x^2-12x+1=0\)
\(\Rightarrow3x^2-9x-2=0\)
\(\Rightarrow3\left(x^2-\frac{2.3}{2}.x+\frac{9}{4}\right)-\frac{35}{4}=0\)
\(\Rightarrow3\left(x-\frac{3}{2}\right)^2=\frac{35}{4}\Rightarrow\left(x-\frac{3}{2}\right)^2=\frac{35}{12}\)
\(\Rightarrow\orbr{\begin{cases}x-\frac{3}{2}=\sqrt{\frac{35}{12}}\\x-\frac{3}{2}=-\sqrt{\frac{35}{12}}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\sqrt{\frac{35}{12}}+\frac{3}{2}\\x=\frac{3}{2}-\sqrt{\frac{35}{12}}\end{cases}}\)
Vậy.....................
<=>x^2 - x=0
<=>x(x-1)=0
<=> x=0 hoặc x=1