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16 tháng 8 2016

a) \(x\left(x-4\right)-\left(x^2-8\right)=0\)

\(\Leftrightarrow x^2-4x-x^2+8=0\)

\(\Leftrightarrow-4\left(x-2\right)=0\)

\(\Leftrightarrow x-2=0\)

\(\Leftrightarrow x=2\)

b) \(\left(3x+2\right)\left(x-1\right)-3\left(x+1\right)\left(x-2\right)=4\)

\(\Leftrightarrow3x^2-3x+2x-2-3\left(x^2-2x+x-2\right)=0\)

\(\Leftrightarrow3x^2-3x+2x-2-3x^2+6x-3x+6=0\)

\(\Leftrightarrow2x=-4\)

\(\Leftrightarrow x=-2\)

c) \(x\left(x+5\right)\left(x-5\right)-\left(x+2\right)\left(x^2-2x+4\right)=17\)

\(\Leftrightarrow x\left(x^2-25\right)-\left(x^3+8\right)=17\)

\(\Leftrightarrow x^3-25x-x^3-8=17\)

\(\Leftrightarrow-25x=25\)

\(\Leftrightarrow x=-1\)

16 tháng 8 2016

a) x(x - 4 ) - ( x^2 - 8 ) = 0

=>x2-4x-x2+8=0

=>8-4x=0

=>4x=8

=>x=2

b) ( 3x + 2 )( x - 1 ) - 3( x + 1 )( x - 2 ) = 4

=>3x2-x-2-3x2+3x+6=4

=>2x+4=4

=>2x=0

=>x=0

c) x( x + 5 )( x - 5 ) - ( x + 2 )( x^2 - 2x + 4 ) = 17

=>x(x2-25)-(x3+8)=17

=>x3-25x-x3-8=17

=>-25x-8=17

=>-25x=25

=>x=-1

 

3 tháng 7 2019

a) (x+2)(x+3)-(x-2)(x+5)=0

  \(x^2+3x+2x+6-x^2-5x+2x+10=0\) 

\(2x+16=0\) 

\(2x=-16\) 

\(x=-8\) 

Vậy......

b) (8-5x)(x+2)+4(x-2)(x+1)+2(x-2)(x+2)=0

  \(8x+16-5x^2-10x+4x^2+4x-8x-8+2x^2+4x-4x-8=0\) 

  \(-6x+x^2=0\) 

 \(x\left(-6+x\right)=0\) 

=> x=0   hoặc  -6+x=0  <=>x=6

Vậy \(x\in\left\{0;6\right\}\)

3 tháng 7 2019

a) \(\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)=0\)

\(\Leftrightarrow\left(x+2\right)x+\left(x+2\right).3-\left(x+5\right)x+\left(x+5\right).2=0\)

\(\Leftrightarrow x^2+2x+3x+6-x^2+5x+2x+10=0\)

\(\Leftrightarrow12x+16=0\)

\(\Leftrightarrow12x=-16\)

\(\Leftrightarrow x=\frac{-4}{3}\)

Vậy...

\(a,\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)=0\)

\(x^2+5x+6-x^2-3x+10=0\)

\(2x+16=0\)

\(2x=-16\)

\(x=-8\)

\(b,\left(8-5x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)+2\left(x-2\right)\left(x+2\right)=0\)

\(8x+16-5x^2-10x+4x^2-4x-8+2x^2-8=0\)

\(x^2-6x=0\)

\(x\left(x-6\right)=0\)

\(\orbr{\begin{cases}x=0\\x-6=0\end{cases}\Rightarrow\orbr{\begin{cases}x=0\\x=6\end{cases}}}\)

3 tháng 7 2019

\(a,\)\(\left(x+2\right)\left(x+3\right)-\left(x-2\right)\left(x+5\right)=0\)

\(\Rightarrow x^2+5x+6-x^2-3x+10=0\)

\(\Rightarrow2x=-16\Leftrightarrow x=-8\)

\(b,\left(8-5x\right)\left(x+2\right)+4\left(x-2\right)\left(x+1\right)+2\left(x-2\right)\left(x+2\right)=0\)

\(\Rightarrow8x+16-5x^2-10x+4\left(x^2-x+2\right)+2\left(x^2-4\right)=0\)

\(\Rightarrow8x+16x-5x^2-10x+4x^2-4x+8+2x^2-8=0\)

\(\Rightarrow x^2+10x=0\Rightarrow x\left(x+10\right)=0\Rightarrow x\in\left\{0;-10\right\}\)