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a,6x-3-5x+15+18x-24=24
19x-12=24
19x=36
x=36/19
c,10x-6x2+6x2-10x+21=3
0x=-18
không có x
d,3x2+3x-2x2-4x=-1-x
x2-x=-1-x
x2-x+x=-1
x2=-1
không có x thỏa mãn
Ta có : ( x - 5 )( 4 - 3x ) - ( 3x + 2 )2 + ( 2x + 1 )3 = ( 2x - 1 )( 4x2 + 2x + 1 ) = 0
\(\Rightarrow\)( x - 5 )( 4 - 3x ) - ( 3x + 2 )2 + ( 2x + 1 )3 = 8x3 - 1
\(\Leftrightarrow\)( x - 5 )( 4 - 3x ) - ( 3x + 2 )2 + ( 2x + 1 )3 - 8x3 + 1 = 0
\(\Rightarrow\)4x - 20 - 3x2 + 15x - 9x2 - 12x - 4 + 8x3 + 12x2 + 6x + 1 - 8x3 + 1 = 0
\(\Rightarrow\)( 4x + 15x - 12x + 6x ) - ( 20 + 4 - 1 - 1 ) - ( 3x2 + 9x2 - 12x2 ) + ( 8x3 - 8x3 ) = 0
\(\Rightarrow\)13x - 22 = 0
\(\Rightarrow\)13x = 22
\(\Rightarrow\) x = 22 / 13
Vậy : x = 22 / 13
không ai trả lời
a,\(2\left(3x-1\right)-5\left(x-3\right)-9\left(2x-4\right)=24\)
\(< =>6x-2-5x+15-18x+36=24\)
\(< =>-29x+49=24< =>29x=25< =>x=\frac{25}{29}\)
b,\(2x^2+4\left(x^2-1\right)=2x\left(3x+1\right)\)
\(< =>2x^2+4x^2-4=6x^2+2x\)
\(< =>2x=-4< =>x=-\frac{4}{2}=-2\)
c, \(2x\left(5-3x\right)+2x\left(3x-5\right)-3\left(x-7\right)=4\)
\(< =>10x-6x^2+6x^2-10x-3x+21=4\)
\(< =>-3x=4-21=-17< =>x=\frac{17}{3}\)
d, \(5x\left(x+1\right)-4x\left(x+2\right)=1-x\)
\(< =>5x^2+5x-4x^2-8x=1-x\)
\(< =>x^2-3x+x-1=0\)
\(< =>x^2-2x-1=0\)
\(< =>\left(x-1\right)^2=2\)
\(< =>\orbr{\begin{cases}x-1=\sqrt{2}\\x-1=-\sqrt{2}\end{cases}}\)
\(< =>\orbr{\begin{cases}x=1+\sqrt{2}\\x=1-\sqrt{2}\end{cases}}\)
\(x^3-3x^2-9x+27=x^2\left(x-3\right)-9\left(x-3\right)=\left(x-3\right)\left(x^2-9\right)=\left(x-3\right)\left(x-3\right)\left(x+3\right)=\left(x-3\right)^2\left(x+3\right)\)
\(\left(3x-2\right)\left(3x+2\right)-\left(4-3x\right)^2=9x^2-4-16+24x-9x^2=24x-20=4\left(6x-5\right)\)
\(\left(2x+5\right)^2-\left(1+2x\right)\left(2x-1\right)=-3\)
\(4x^2+20x+25-4x^2+1=-3\)
\(20x=-3-25-1\)
\(20x=-29\)
\(x=-\frac{29}{20}\)
\(\left|2x+1\right|=3x-2\)đk : x >= 2/3
\(\left[{}\begin{matrix}2x+1=3x-2\\2x+1=2-3x\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=3\left(tm\right)\\x=\dfrac{1}{5}\left(ktm\right)\end{matrix}\right.\)
\(\left|2x+1\right|=3x-2\)
\(\Rightarrow\left[{}\begin{matrix}2x+1=3x-2\\2x+1=-3x+2\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=3\\x=\dfrac{1}{5}\end{matrix}\right.\)