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2(x + 7) - (2x + 3).(x - 1) - 8 = 6x
<=> (2x + 14) - (2x + 3)(x - 1) - 8 - 6x = 0
<=> 2x + 14 - (2x2 + 3x - 2x - 3) - 8 - 6x = 0
<=> 2x + 14 - (2x2 + x - 3) - 8 - 6x = 0
<=> 2x + 14 - 2x2 - x + 3 - 8 - 6x = 0
<=> -2x2 - 5x + 6 = 0
<=> 2x2 + 5x - 6 = 0
<=> \(x^2+\frac{5}{2}x-3=0\)
\(\Leftrightarrow x^2+2.x.\frac{5}{4}+\frac{25}{16}-\frac{73}{16}=0\)
\(\Leftrightarrow x^2+2.x.\frac{5}{4}+\frac{25}{16}=\frac{73}{16}\)
\(\Leftrightarrow\left(x+\frac{5}{4}\right)^2=\frac{73}{16}\)
\(\Leftrightarrow\orbr{\begin{cases}x+\frac{5}{4}=\frac{73}{16}\\x+\frac{5}{4}=-\frac{73}{16}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{73}{16}-\frac{5}{4}\\x=-\frac{73}{16}-\frac{5}{4}\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{53}{16}\\x=-\frac{93}{16}\end{cases}}\)
2(x+7)-(2x+3)(x-1)-8=6x
\(\Leftrightarrow2x+14-2x^2+2x-3x+3-8=6x\)
\(\Leftrightarrow\) \(-2x^2+2x+2x-3x+3-8+14=6x\)
\(\Leftrightarrow-2x^2+x+9=6x\)
\(\Leftrightarrow-2x^2-5x+9=0\)
\(\Leftrightarrow\left(x-\left(\frac{-5+\sqrt{97}}{4}\right)\right)\left(x+\left(\frac{-5-\sqrt{97}}{4}\right)\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-\frac{-5+\sqrt{97}}{4}=0\\x+\frac{-5-\sqrt{97}}{4}=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{-5+97}{4}\\x=\frac{5-\sqrt{97}}{4}\end{cases}}\)
b) \(\frac{3\left(2x+1\right)}{4}-\frac{5x+3}{6}+\frac{x+1}{3}=\frac{x+7}{12}\)
<=> \(\frac{13\left(x+1\right)}{12}-\frac{5x+3}{6}=\frac{x+7}{12}\)
<=> 13(x + 1) - 2(5x + 3) = x + 7
<=> 13x + 13 - 10x - 6 = x + 7
<=> 3x + 7 = x + 7
<=> 3x + 7 - x = 7
<=> 2x + 7 = 7
<=> 2x = 7 - 7
<=> 2x = 0
<=> x = 0
c) 2x + 4(x - 2) = 5
<=> 2x + 4x - 8 = 5
<=> 6x - 8 = 5
<=> 6x = 5 + 8
<=> 6x = 13
<=> x = 13/6
Ta có : x2 - 2x - (x + 3)2 = 6
<=> x2 - 2x - x2 - 6x - 9 = 6
<=> -8x - 9 = 6
=> -8x = 15
=> x = \(\frac{15}{-8}\)
a) 1,2 - ( x - 0,8 ) = -2( 0,9+ x )
<=> 1,2 - x + 0,8 = -1.8 - 2x
<=> x = -3,8
Vậy x = -3,8
b) 2,3x - 2(0,7 + 2x ) = 3,6 - 1,7x
<=> 2,3x - 1,4 - 4x = 3,6 - 1,7x
<=> -3,4x = 5
<=> x = \(\dfrac{-25}{17}\)
Vậy x = \(\dfrac{-25}{17}\)
c) 3(2,2 - 0,3x ) = 2,6 + (0,1x - 4 )
<=> 6,6 - 0,9x = 2,6 + 0,1x - 4
<=> -x = -8
<=> x = 8
Vậy x = 8
d) 3,6 - 0,5(2x + 1) = x- 0,25(2-4x)
<=> 3,6 - x - 0.5 = x - 0,5 + x
<=> -3x = -3,6
<=> x = 1.2
Vậy x = 1.2
Đề là gì vậy ?
tìm x, biết
2.(x+7)-(2x+3).(x-1)-8=6x