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\(x^3-4x^2-11x+30=0\)
\(\Rightarrow x^3-7x^2+10x+3x^2-21x+30=0\)
\(\Rightarrow x\left(x^2-7x+10\right)+3\left(x^2-7x+10\right)=0\)
\(\Rightarrow\left(x^2-7x+10\right)\left(x+3\right)=0\)
\(\Rightarrow\left(x^2-5x-2x+10\right)\left(x+3\right)=0\)
\(\Rightarrow\left[x\left(x-5\right)-2\left(x-5\right)\right]\left(x+3\right)=0\)
\(\Rightarrow\left(x-2\right)\left(x-5\right)\left(x+3\right)=0\)
=>x=2 hoặc x=5 hoặc x=-3
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6x2+11x-10=0
=>6x2-4x+15x-10=0
=>2x(3x-2)+5(3x-2)=0
=>(2x+5)*(3x-2)=0
=>x=-2,5 hoặc x=0,(6)
=>tổng các giá trị x tm là -2,5+0,(6)=-11/6
Ta có : 6x2+11x-10 = 0
=> 6x2 -4x + 15x -10=0
=> 2x(3x-2) + 5(3x-2) = 0
=> (3x-2)(2x+5) = 0
=> 3x-2=0 hoặc 2x+5 = 0
=> x=2/3 hoặc x= -5/2
=> Tổng các giá trị x thỏa mãn đề bài : 2/3 - 5/2 = -11/6
Có j hong hiểu hỏi mình nhea =))
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- x4-2x3+10x2-20x=0 =>x3(x-2)+10x(x-2)=0 =>(x-2)(x3+10x)=0 =>x(x-2)(x2+10)=0
=>x=0 hoặc x=2 hoặc x= - căn 10
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6x^2 +11x-10=0
6x^2-4x+15x-10=0
2x(3x-2)+5(x-2)=0
(2x+5)(3x-2)=0
2x+5=0hoac3x-2=0
=>x=-5/2 hoac x=2/3
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\(\frac{x+1}{2015}+\frac{x+2}{2014}=\frac{x+3}{2013}+\frac{x+4}{2012}\)
\(\left(\frac{x+1}{2015}+1\right)+\left(\frac{x+2}{2014}+1\right)=\left(\frac{x+3}{2013}+1\right)+\left(\frac{x+4}{2012}+1\right)\)
\(\frac{x+2016}{2015}+\frac{x+2016}{2014}=\frac{x+2016}{2013}+\frac{x+2016}{2012}\)
\(\left(x+2016\right).\left(\frac{1}{2015}+\frac{1}{2014}-\frac{1}{2013}-\frac{1}{2012}\right)=0\)
\(x+2016=0\)
\(x=-2016\)