Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Áp dụng tính chất `|P|>=P,|P|>=-P`
`=>{(|x+5|>=x+5),(|x+1|>=-x-1):}`
`=>|x+5|+|x+1|>=x+5-x-1=4`
Mặt khác:`|x+3|>=0`
`=>|x+1|+|x+3|+|x+5|>=4(đpcm)`
Dấu "=" xảy ra khi `x=-3`
Câu a) của bạn là 6 nhân 4 hay \(6,4\) vậy bạn? Nguyễn Thanh Giang
ta có: f(x) + g(x) = ( 7 x^6 - 6x ^5 +5x^4 -4x^3 +3x^2 -2x +1) - ( x - 2x^2 +3x^3 - 4x^4 + 5x^5 - 6x^6)
\(=7x^6-6x^5+5x^4-4x^3+3x^2-2x+1-x+2x^2-3x^3+4x^4-5x^5+6x^6\)
\(=\left(7x^6+6x^6\right)-\left(6x^5+5x^5\right)+\left(5x^4+4x^4\right)-\left(4x^3+3x^3\right)+\left(3x^2+2x^2\right)-\left(2x+x\right)+1\)
\(=13x^6-11x^5+9x^4-7x^3+5x^2-3x+1\)
Chúc bn học tốt !!!!!!
Uhhhhhhhhhhhhhhhhhhhhhhhhhh😥😥😥😥😥😥😥😥😥😥😥????????????...............
b) \(\frac{3}{5}x-\frac{1}{2}=-\frac{1}{7}\)
\(\Rightarrow\frac{3}{5}x=\left(-\frac{1}{7}\right)+\frac{1}{2}\)
\(\Rightarrow\frac{3}{5}x=\frac{5}{14}\)
\(\Rightarrow x=\frac{5}{14}:\frac{3}{5}\)
\(\Rightarrow x=\frac{25}{42}\)
Vậy \(x=\frac{25}{42}.\)
c) \(5-\left|3x-1\right|=3\)
\(\Rightarrow\left|3x-1\right|=5-3\)
\(\Rightarrow\left|3x-1\right|=2\)
\(\Rightarrow\left[{}\begin{matrix}3x-1=2\\3x-1=-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}3x=3\\3x=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=3:3\\x=\left(-1\right):3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=-\frac{1}{3}\end{matrix}\right.\)
Vậy \(x\in\left\{1;-\frac{1}{3}\right\}.\)
d) \(\left(1-2x\right)^2=9\)
\(\Rightarrow\left(1-2x\right)^2=\left(\pm3\right)^2\)
\(\Rightarrow1-2x=\pm3.\)
\(\Rightarrow\left[{}\begin{matrix}1-2x=3\\1-2x=-3\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=-2\\2x=4\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\left(-2\right):2\\x=4:2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)
Vậy \(x\in\left\{-1;2\right\}.\)
Chúc bạn học tốt!
1) x3 - 1 +x - x2
2) (a2 + 9)2 - 36a2
3) ( x2 + 1)2 - 4x2
4) ( 4a2 + 1/4)2 - 4a2
5) 81 - (x2 + 6x)2
6) 16a2 - (a2 + 4)2
7) 1/4 ( a + 1)2 - 4/9 ( a-2)2
8) ( x2 + xy)2 - (y2 + xy)2
9) 12a2b2 - 3( a2 +b2)2
10) 4x2y2 - ( x2 + y2 - a2)2
11) ( a+b+c)2 + ( a+b-c)2 - 4c2
12) x3 - 1 + 5x2 - 5 +3x - 3
13) ( x - y)2 + 4(x-y) + 4
14) x2 -2x( 3x+1) + (3x+1)2
15) x4 + 2x2(2x+1) + ( 2x+1)2
hok tốt