a, /x-2/=4
b, /x-2/<3
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) \(\left(4n^2-6nm+9m^2\right)\left(2n+3m\right)\)
\(=\left(2n+3m\right)\left[\left(2n\right)^2-2n.3m+\left(3m\right)^2\right]\)
\(=\left(2n\right)^3+\left(3m\right)^3\)
\(=8n^3+27m^3\)
b) Sửa đề \(\left(7+2b\right)\left(4b^2-14b+49\right)\)
\(=\left(7+2b\right)\left[\left(2b\right)^2-2b.7+7^2\right]\)
\(=7^3+\left(2b\right)^3\)
\(=343+8b^3\)
c) \(\left(25a^2+10ab+4b^2\right)\left(5a-2b\right)\)
\(=\left(5a-2b\right)\left[\left(5a\right)^2+5a.2b+\left(2b\right)^2\right]\)
\(=\left(5a\right)^3-\left(2b\right)^3\)
\(=125a^3-8b^3\)
d) \(\left(x^2+x+2\right)\left(x^2-x-2\right)\)
\(=\left[x^2+\left(x+2\right)\right]\left[x^2-\left(x+2\right)\right]\)
\(=x^4-\left(x+2\right)^2\)
a) Ta có: \(\dfrac{x-8}{2}-\dfrac{x}{10}=4\)
\(\Leftrightarrow\dfrac{5\left(x-8\right)}{10}-\dfrac{x}{10}=\dfrac{40}{10}\)
\(\Leftrightarrow5x-40-x=40\)
\(\Leftrightarrow4x=80\)
hay x=20
Vậy: S={20}
b)
ĐKXĐ: \(x\notin\left\{0;2\right\}\)
Ta có: \(\dfrac{x-1}{x}+\dfrac{2x-2}{x\left(x-2\right)}=0\)
\(\Leftrightarrow\dfrac{\left(x-1\right)\left(x-2\right)}{x\left(x-2\right)}+\dfrac{2x-2}{x\left(x-2\right)}=0\)
Suy ra: \(x^2-3x+2+2x-2=0\)
\(\Leftrightarrow x^2-x=0\)
\(\Leftrightarrow x\left(x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=0\left(loại\right)\\x=1\left(nhận\right)\end{matrix}\right.\)
Vậy: S={1}
a) x/-2=-4/y=2/4
*x/-2=2/4=>4x=(-2)x2=>x=-1
*-4/y=2/4=>(-4)x4=2y=>y=-8
b)2/x=y/-3
=>xy=-6(câu này đề hơi lạ)
c) x+1/2=8/x+1
=>16=(x+1)(x+1)=>x^2+2x+1=16=>(x+1)^2=16=>(x+1)^2=4^2=>x+1=4=>x=3
a) \(\left|x-2\right|=4\)
\(\Leftrightarrow\orbr{\begin{cases}x-2=-4\\x-2=4\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=6\end{cases}}\)
b) \(\left|x-2\right|< 3\)
\(\Leftrightarrow-3< x-2< 3\)
\(\Leftrightarrow-1< x< 5\)
a, |x - 2| = 4
=> x - 2 = 4 hoặc x - 2 = -4
=> x = 6 hoặc x = -2
vậy_
b, |x - 2| < 3
=> x - 2 thuộc {-2; -1; 0; 1; 2}
=> x thuộc {0; 1; 2; 3; 4}
vậy-