tìm x biết :
a, [3x -2] + 5x = 4x - 10
b, 3 + [2x + 5] > 13
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A = - 3\(x\).(\(x-5\)) + 3(\(x^2\) - 4\(x\)) - 3\(x\) - 10
A = - 3\(x^2\) + 15\(x\) + 3\(x^2\) - 12\(x\) - 3\(x\) - 10
A = (- 3\(x^2\) + 3\(x^2\)) + (15\(x\) - 12\(x\) - 3\(x\)) - 10
A = 0 + (3\(x-3x\)) - 10
A = 0 - 10
A = - 10
a: Ta có: \(5\left(4x-1\right)+2\left(1-3x\right)-6\left(x+5\right)=10\)
\(\Leftrightarrow20x-5+2-6x-6x-30=10\)
\(\Leftrightarrow8x=43\)
hay \(x=\dfrac{43}{8}\)
b: ta có: \(2x\left(x+1\right)+3\left(x-1\right)\left(x+1\right)-5x\left(x+1\right)+6x^2=0\)
\(\Leftrightarrow2x^2+2x+3x^2-3-5x^2-5x+6x^2=0\)
\(\Leftrightarrow6x^2-3x-3=0\)
\(\Leftrightarrow2x^2-x-1=0\)
\(\Leftrightarrow\left(x-1\right)\left(2x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{2}\end{matrix}\right.\)
a/ Xét 2 trường hợp:
+) x \(\ge\)2/3 , ta có: 3x - 2 + 5x = 4x - 10 => 3x + 5x - 4x = 2 - 10 => 4x = -8 => x = -2 (loại)
+) x < 2/3 , ta có: 2 - 3x + 5x = 4x - 10 => - 3x + 5x - 4x = -10 - 2 => -2x = -12 => x = 6 (loại)
Vậy biểu thức vô nghiệm
b/ Ta có: 3 + |2x + 5| > 3 => |2x + 5| > 0 => 2x + 5 > 0 => x > -5/2
Vậy x > -5/2
a) \(\left|3x-2\right|+5x=4x-10\)
\(\Leftrightarrow\left|3x-2\right|=-x-10\) \(\left(x\le-10\right)\)
\(\Leftrightarrow\left(3x-2\right)^2=\left(-x-10\right)^2\)
\(\Leftrightarrow8x^2-32x-96=0\)
\(\Leftrightarrow\left(x-6\right)\left(x+2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=6\\x=-2\end{matrix}\right.\) ( loại )
Vậy pt vô nghiệm.
b) \(3+\left|2x-5\right|>13\)
\(\Leftrightarrow\left|2x-5\right|>10\)
\(\Leftrightarrow\left(2x-5\right)^2>100\)
\(\Leftrightarrow4x^2-20x-75>0\)
\(\Leftrightarrow\left(2x-15\right)\left(2x+5\right)>0\)
\(\Leftrightarrow\left[{}\begin{matrix}x>\frac{15}{2}\\x< \frac{-5}{2}\end{matrix}\right.\)
Vậy...
b) Ta có: 3+|2x+5|>13
⇒|2x+5|>10
\(\Rightarrow\left\{{}\begin{matrix}2x+5>3\\2x+5< -3\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}2x>-2\\2x< -8\end{matrix}\right.\)\(\Rightarrow\left\{{}\begin{matrix}x>-1\\x< -4\end{matrix}\right.\)
Vậy: -4<x<-1
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x2 - 16x - 34 = 10x2 + 3x - 34
=> 10x2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0
hoặc 10x - 19 = 0 => 10x = 19 => x = 19/10
Vậy x = 0 ; x = 19/10
Rút gọn hết ta được :
a/ 41x - 17 = -21
=> 41x = -4 => x = 4/41
b/ 34x - 17 = 0
=> 34x = 17
=> x = 17/34 = 1/2
c/ 19x + 56 = 52
=> 19x = -4
=> x = -4/19
d/ 20x 2 - 16x - 34 = 10x 2 + 3x - 34
=> 10x 2 - 19x = 0
=> x(10x - 19) = 0
=> x = 0 hoặc 10x - 19 = 0
=> 10x = 19
=> x = 19/10
Vậy x = 0 ; x = 19/10
a, \(-4x+5+2x-1=3\Leftrightarrow-2x=-1\Leftrightarrow x=\dfrac{1}{2}\)
b, \(-2x+2=2\Leftrightarrow x=0\)
c, \(-2x-6=-8\Leftrightarrow x=1\)
\(a,\Leftrightarrow\dfrac{3x^3+6x^2-3x-5x^2-10x+5}{x^2+2x-1}=10\\ \Leftrightarrow\dfrac{3x\left(x^2+2x-1\right)-5\left(x^2+2x-1\right)}{x^2+2x-1}=10\\ \Leftrightarrow3x-5=10\Leftrightarrow3x=15\Leftrightarrow x=5\\ b,\Leftrightarrow\left(x^4+2x^2-4x^2-8\right):\left(x-2\right)=0\\ \Leftrightarrow\left[\left(x^2-4\right)\left(x^2+2\right)\right]:\left(x-2\right)=0\\ \Leftrightarrow\left[\left(x-2\right)\left(x+2\right)\left(x^2+2\right)\right]:\left(x-2\right)=0\\ \Leftrightarrow\left(x+2\right)\left(x^2+2\right)=0\Leftrightarrow x=-2\left(x^2+2>0\right)\\ c,\Leftrightarrow\dfrac{x\left(x-4\right)}{\left(x-4\right)^2}=0\Leftrightarrow\dfrac{x}{x-4}=0\Leftrightarrow x=0\)