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, \(5x\left(x+1\right)-4x\left(x+2\right)=1-x\)
\(< =>5x^2+5x-4x^2-8x=1-x\)
\(< =>x^2-3x+x-1=0\)
\(< =>x^2-2x-1=0\)
\(< =>\left(x-1\right)^2=2\)
\(< =>\orbr{\begin{cases}x-1=\sqrt{2}\\x-1=-\sqrt{2}\end{cases}}\)
\(< =>\orbr{\begin{cases}x=1+\sqrt{2}\\x=1-\sqrt{2}\end{cases}}\)
Sai rồi bn:)
a, \(2\left(3x-1\right)-5\left(x-3\right)-9\left(2x-4\right)=24\)
\(\Leftrightarrow6x-2-5x+15-18x+36=24\)
\(\Leftrightarrow-17x+25=0\Leftrightarrow x=\frac{25}{17}\)
b, \(2x^2+4\left(x^2-1\right)=2x\left(3x+1\right)\)
\(\Leftrightarrow2x^2+4x^2-4=6x^2+2x\)
\(\Leftrightarrow-4-2x=0\Leftrightarrow x=-2\)
c, \(2x\left(5-3x\right)+2x\left(3x-5\right)-3\left(x-7\right)=4\)
\(\Leftrightarrow10x-6x^2+6x^2-10x-3x+21=4\)
\(\Leftrightarrow-3x+17=0\Leftrightarrow x=\frac{17}{3}\)
d, \(5x\left(x+1\right)-4x\left(x+2\right)=1-x\)
\(\Leftrightarrow5x^2+5x-4x^2-8x=1-x\)
\(\Leftrightarrow x^2-3x-1+x=0\Leftrightarrow x^2-2x-1=0\)
\(\Leftrightarrow x^2-2x+1-2=0\Leftrightarrow\left(x-1\right)^2=2\)
\(\Leftrightarrow\orbr{\begin{cases}x-1=\sqrt{2}\\x-1=-\sqrt{2}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=\sqrt{2}+1\\x=-\sqrt{2}+1\end{cases}}}\)
A) 2( 3x - 1 ) - 5( x - 3 ) - 9( 2x - 4 ) = 24
<=> 6x - 2 - 5x + 15 - 18x + 36 = 24
<=> -17x + 49 = 24
<=> -17x = -25
<=> x = 25/17
B) 2x2 + 4( x2 - 1 ) = 2x( 3x + 1 )
<=> 2x2 + 4x2 - 4 - 6x2 - 2x = 0
<=> -4 - 2x = 0
<=> 2x = -4
<=> x = -2
C) 2x( 5 - 3x ) + 2x( 3x - 5 ) - 3( x - 7 ) = 4
<=> 2x( 5 - 3x + 3x - 5 ) - 3x + 21 = 4
<=> 10x - 6x2 + 6x2 - 10x - 3x + 21 = 4
<=> -3x + 21 = 4
<=> -3x = -17
<=> x = 17/3
D) 5x( x + 1 ) - 4x( x + 2 ) = 1 - x
<=> 5x2 + 5x - 4x2 - 8x - 1 + x = 0
<=> x2 - 2x - 1 = 0
<=> x2 - 2x + 1 - 2 = 0
<=> ( x - 1 )2 = 2
<=> \(\orbr{\begin{cases}x-1=\sqrt{2}\\x-1=-\sqrt{2}\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=1+\sqrt{2}\\x=1-\sqrt{2}\end{cases}}\)