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a/ Vì /2x-4/ lớn hơn hoặc bằng 0
và /3x+2/ lớn hơn hoặc bằng 0
Mà /2x-4/+/3y+2/=0
=> /2x-4/=0 và /3y+2/=0
=> 2x-4 =0 và 3y+2=0
=>2x=4 và 3y=-2
=>x=2 và y=-2/3
b, tương tự: x=-4 và y=1/3
c, tương tự: x=1/2 và y=1/2
\(5-\left|3x-1\right|=3\)
\(\left|3x-1\right|=2\)
\(\Rightarrow\orbr{\begin{cases}3x-1=2\\3x-1=-2\end{cases}}\Rightarrow\orbr{\begin{cases}3x=3\\3x=-1\end{cases}}\Rightarrow\orbr{\begin{cases}x=1\\x=\frac{-1}{3}\end{cases}}\)
vậy \(\orbr{\begin{cases}x=1\\x=\frac{-1}{3}\end{cases}}\)
\(\left|x+\frac{3}{4}\right|-5=-2\)
\(\left|x+\frac{3}{4}\right|=3\)
\(\Rightarrow\orbr{\begin{cases}x+\frac{3}{4}=3\\x+\frac{3}{4}=-3\end{cases}}\Rightarrow\orbr{\begin{cases}x=\frac{9}{4}\\x=-\frac{15}{4}\end{cases}}\)
\(\left(1-2x\right)^2=9\)
\(\left(1-2x\right)^2=3^2\)
\(\Rightarrow1-2x=3\)
\(\Rightarrow2x=-2\)
\(\Rightarrow x=-1\)
vậy \(x=-1\)
\(\left(x+5\right)^3=-64\)
\(\left(x+5\right)^3=\left(-4\right)^3\)
\(\Rightarrow x+5=-4\)
\(\Rightarrow x=-9\)
vậy \(x=-9\)
\(\left(2x+1\right)^2=\frac{4}{9}\)
\(\left(2x+1\right)^2=\left(\frac{2}{3}\right)^2\)
\(\Rightarrow2x+1=\frac{2}{3}\)
\(\Rightarrow2x=\frac{-1}{3}\)
\(\Rightarrow x=\frac{-1}{6}\)
vậy \(x=-\frac{1}{6}\)
\(\dfrac{1}{2}-3x+\left|x-1\right|=0\\ \Rightarrow3x+\left|x-1\right|=\dfrac{1}{2}-0\\ \Rightarrow3x+\left|x-1\right|=\dfrac{1}{2}\\ \Rightarrow\left|x-1\right|=\dfrac{1}{2}-3x\\ \Rightarrow\left[{}\begin{matrix}x-1=\dfrac{1}{2}-3x\\x-1=-\dfrac{1}{2}+3x\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x+3x=\dfrac{1}{2}+1\\x-3x=-\dfrac{1}{2}+1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}4x=\dfrac{3}{2}\\2x=\dfrac{1}{2}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{8}\\x=\dfrac{1}{4}\end{matrix}\right.\)
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\(\dfrac{1}{2}\left|2x-1\right|+\left|2x-1\right|=x+1\\ \Rightarrow\left|2x-1\right|\cdot\left(\dfrac{1}{2}+1\right)=x+1\\ \Rightarrow\left|2x-1\right|\cdot\dfrac{3}{2}=x+1\\ \Rightarrow\left|2x-1\right|=x+1:\dfrac{3}{2}\\ \Rightarrow\left|2x-1\right|=x+\dfrac{2}{3}\\ \Rightarrow\left[{}\begin{matrix}2x-1=x+\dfrac{2}{3}\\2x-1=-x-\dfrac{2}{3}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}2x-x=\dfrac{2}{3}+1\\2x+x=-\dfrac{2}{3}+1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\3x=\dfrac{1}{3}\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{5}{3}\\x=\dfrac{1}{9}\end{matrix}\right.\)
Bài 1:
a: \(\left|x-\dfrac{1}{2}\right|+\dfrac{1}{2}=x\)
=>\(\left|x-\dfrac{1}{2}\right|=x-\dfrac{1}{2}\)
=>\(x-\dfrac{1}{2}>=0\)
=>\(x>=\dfrac{1}{2}\)
b: \(\left|1-3x\right|+1=3x\)
=>\(\left|1-3x\right|=3x-1\)
=>\(1-3x< =0\)
=>3x-1>=0
=>3x>=1
=>\(x>=\dfrac{1}{3}\)
Bài 2:
a: \(C=\left|5-x\right|+x=\left|x-5\right|+x\)
TH1: x>=5
\(C=x-5+x=2x-5\)
TH2: x<5
C=5-x+x=5
b: D=|2x-1|-x
TH1: x>=1/2
\(D=2x-1-x=x-1\)
TH2: \(x< \dfrac{1}{2}\)
D=1-2x-x=1-3x
a)\({-1\over 2}x^2×y^2 - x^2×y^2 +{2\over 3} x^2×y^2 \)
=\(({ -1\over 2}-1+{ 2\over 3})x^2×y^2\)
=\({-5 \over 6}x^2×y^2\)
b)\({1 \over 2}a^3×b^2 +{4 \over 3}3ab^2 × {1 \over 2}a^2\)
=\({1 \over 2}a^3×b^2 +({4 \over 3}× {1 \over 2})3b^2 (a×a^2) \)
=\({1 \over 2}a^3×b^2 +{2 \over 3}3a^3b^2\)
=\(({1 \over 2} +{2 \over 3}3)a^3b^2\)
=\({5 \over 2}a^3b^2\)
c)
1/3x + 2 = 2x - 1/2
=>1/3x + 2x = 2 + ( - 1/2 )
7/3x = 3/2
x = 3/2 : 7/3
x = 9/14
a. 1/3x +2=2x-1/2
ta có: 2x-1/3x =2-1/2
(2-1/3)x =3/2
5/3x=3/2
x=3/2:5/3
x=9/10
mình nghĩ thế vì mình đang học lớp 5