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3/4x + 5-(2/3x-4)-(1/6+1)=(1/3x+4)-(1/3x-3)
=3/4x+5-2/3x-4-1/6x+1=1/3x+4-1/3x-3
=-1/12=7
x=84
Đ/S...
|x+1|+|3x-1|+|x-1|=3
=} vs cả trong dấu giá trị tuyệt đối >0 thì=}
x+1+3x-1+x-1=3{=}5x=4{=}x=4/5
=}vs cả trong giá trị tuyệt đối <0 thì=}
x+1+3x-1+x-1=-3{=}5x=-4{=}x=-4/5
a: \(\left(x+\dfrac{1}{4}\right)+\left(3x-4\right)+2\left(x-3\right)=1\)
=>\(x+\dfrac{1}{4}+3x-4+2x-6=1\)
=>\(6x-\dfrac{39}{4}=1\)
=>\(6x=1+\dfrac{39}{4}=\dfrac{43}{4}\)
=>\(x=\dfrac{43}{4}:6=\dfrac{43}{24}\)
b: \(2\left(x-3\right)=3\left(x+2\right)-x+1\)
=>\(2x-6=3x+6-x+1\)
=>2x-6=2x+7
=>-6=7(vô lý)
c: \(x\left(x+3\right)+x\left(x-2\right)=2x\left(x-1\right)\)
=>\(x^2+3x+x^2-2x=2x^2-2x\)
=>3x-2x=-2x
=>3x=0
=>x=0
d: \(\left(x-1\right)\cdot3x-2\left(x+2\right)-2x=x\left(x-1\right)\)
=>\(3x^2-3x-2x-4-2x=x^2-x\)
=>\(3x^2-7x-4-x^2+x=0\)
=>\(2x^2-6x-4=0\)
=>\(x^2-3x-2=0\)
=>\(x=\dfrac{3\pm\sqrt{17}}{2}\)
a,
*\(P\left(x\right)\) = \(-3x^2+4x-x^3+x^2+3x-1\)
\(P(x)=-3x^2+7x-x^3-1\)
\(P(x)=-x^3-3x^2+7x-1\)
* \(Q(x)=3x^4-x^2+x^3-2x-1-2x^3\)
\(Q(x)=3x^4-x^2-x^3-2x-1\)
\(Q(x)=3x^4-x^3-x^2-1\)
b, \(M(x)=P(x)-Q(x)\)
\(M(x)=-x^3-3x^2+7x-1-3x^4+x^3+x^2+1\)
\(M(x)=-2x^2+7x-3x^4\)
\(x-\frac{3}{2}=3x+\frac{1}{4}\)
\(x-3x=\frac{1}{4}+\frac{3}{2}\)
\(-2x=\frac{7}{4}\)
\(x=\frac{7}{4}:\left(-2\right)\)
\(x=-\frac{7}{8}\)
Tìm x :
\(x-\frac{3}{2}=3x+\frac{1}{4}\)
\(\Leftrightarrow x-3x=\frac{1}{4}+\frac{3}{2}\)
\(\Leftrightarrow1x-3x=\frac{1}{4}+\frac{6}{4}\)
\(\Leftrightarrow-2x=\frac{7}{4}\)
\(\Leftrightarrow x=\frac{7}{4}:\left(-2\right)\)
\(\Leftrightarrow x=\frac{7}{4}.\frac{-1}{2}\)
\(\Leftrightarrow x=-\frac{7}{8}\)