TÍNH ( 1 - 1/19 ) x ( 1 - 1/100 ) x….x ( 1 - 2006 )
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9 tháng 3 2022
\(\left(x+3\right)\left(1-x\right)>0.\\ \Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x+3>0.\\1-x>0.\end{matrix}\right.\\\left\{{}\begin{matrix}x+3< 0.\\1-x< 0.\end{matrix}\right.\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x>-3.\\x< 1.\end{matrix}\right.\\\left\{{}\begin{matrix}x< -3.\\x>1.\end{matrix}\right.\end{matrix}\right.\) \(\Leftrightarrow-3< x< 1.\)
\(\left(x^2-1\right)\left(x^2-4\right)< 0.\\ \Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x^2-1< 0.\\x^2-4>0.\end{matrix}\right.\\\left\{{}\begin{matrix}x^2-1>0.\\x^2-4< 0.\end{matrix}\right.\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x^2< 1.\\x^2>4.\end{matrix}\right.\\\left\{{}\begin{matrix}x^2>1.\\x^2< 4.\end{matrix}\right.\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}\left[{}\begin{matrix}x< 1.\\x>-1.\end{matrix}\right.\\\left[{}\begin{matrix}x>2.\\x< -2.\end{matrix}\right.\end{matrix}\right.\\\left\{{}\begin{matrix}\left[{}\begin{matrix}x>1.\\x< -1.\end{matrix}\right.\\\left[{}\begin{matrix}x< 2.\\x>-2.\end{matrix}\right.\end{matrix}\right.\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}-1< x< 1.\\\left[{}\begin{matrix}x>2.\\x< -2.\end{matrix}\right.\end{matrix}\right.\\\left\{{}\begin{matrix}\left[{}\begin{matrix}x>1.\\x< -1.\end{matrix}\right.\\-2< x< 2.\end{matrix}\right.\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x>2.\\x< -2.\\-2< x< -1.\\1< x< 2.\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x< -2.\\x>2.\end{matrix}\right.\)
BD
4
HT
6 tháng 9 2017
\(\sqrt{1-\sqrt{x^4-x^2}}=x-1\)
\(\sqrt{1-\left|x^2\right|-\left|x\right|}=x-1\)
\(\sqrt{1-x^2-x}=x-1\)
\(x\sqrt{1-x}=x-1\)
\(\sqrt{1-x}=\frac{x-1}{x}\)
\(1-x=\left(\frac{x-1}{x}\right)^2\)
\(1-x=\frac{x^2-1}{x^2}\)
\(1-x=-1\)
\(x=2\)
vay \(x=2\)
NT
0
6 tháng 1 2018
( x + 1 )2 = 9
\(\Rightarrow\orbr{\begin{cases}\left(x+1\right)^2=3^2\\\left(x+1\right)^2=\left(-3\right)^2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x+1=3\\x+1=-3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)
6 tháng 1 2018
(x-1)^2=9
<=>(x-1)^2 - 3^2 = 0
<=>(x-1 +3) ( x-1 -3) = 0
<=> (x+2) .(x-4) = 0
<=> x= -2 hay x = 4
Vậy.............
NH
3 tháng 3 2023
a)
`2/3+5/2-3/4`
`=10/4-3/4+2/3`
`=7/4+2/3`
`=21/12+8/12`
`=29/12`
b)
`2/5xx1/2:1/3`
`=2/10xx3/1`
`=6/10=3/5`
c)
`2/9:2/9xx1/3`
`=2/9xx9/2xx1/3`
`=1xx1/3`
`=1/3`
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
3 tháng 3 2023
a, \(\dfrac{2}{3}\) + \(\dfrac{5}{2}\) - \(\dfrac{3}{4}\)
= \(\dfrac{8}{12}\) + \(\dfrac{30}{12}\) - \(\dfrac{9}{12}\)
= \(\dfrac{38-9}{12}\)
= \(\dfrac{29}{12}\)
b, \(\dfrac{2}{5}\) x \(\dfrac{1}{2}\) : \(\dfrac{1}{3}\)
= \(\dfrac{1}{5}\) x \(\dfrac{3}{1}\)
= \(\dfrac{3}{5}\)
c, \(\dfrac{2}{9}\) : \(\dfrac{2}{9}\) x \(\dfrac{1}{3}\)
= 1 x \(\dfrac{1}{3}\)
= \(\dfrac{1}{3}\)
HT
2
2 tháng 10 2023
A = 100 + 98 + 96 + ... + 2 - 97 - 95 - ... - 1
A = 100 + (98 - 97) + (96 - 95) + ... + (2 - 1)
A = 100 + 1 + 1 + ... + 1 (49 số 1)
A = 100 + 49 = 149
TL
1.Tính:
Q=14.29+14.71+(1+2+3+4+...+99)(199199.198-198198.199)
TUI ĐANG CẦN GẤP LÀM ƠN GIÚP TUI ĐI !!!!
3
31 tháng 3 2019
Q = 14 . 29 + 14 . 71 + ( 1 + 2 + 3 + ... + 99)(199199 . 198 - 198198 . 199)
= 14 . ( 29 + 71 ) + ( 1 + 2 + ... + 99)( 199 . 1001 . 198 - 198 . 1001 . 199 )
= 14 . 100 + ( 1 + 2 + ... + 99) . 0
= 1400 + 0
= 1400
31 tháng 3 2019
\(Q=14.29+14.71+\left(1+2+3+4+....+99\right).\left(199199.198-198198.199\right)\)
\(=14.\left(29+71\right)+\left(1+2+3+4+..+99\right).\left(199.101.198-198.1001.199\right)\)
\(=14.100+\left(1+2+3+4+...+99\right).0\)
\(=1400+0\)
\(=1400\)
1−199 x 1 − 1100....1−120061-199 � 1 - 1100....1-12006
=(9999−1999999-199)x(100100−1100100100-1100)....(20062006−1200620062006-12006) = 9899x99100....20052006=982006
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