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a) \(\left|x\right|< 1\Rightarrow-1< x< 1\Rightarrow x=0\)
b) \(\left|x+3\right|=0\)
\(\Leftrightarrow x+3=0\)
\(\Leftrightarrow x=-3\)
c) \(\left|x+2\right|=\left|12-10\right|\)
\(\Leftrightarrow\left|x+2\right|=2\)
\(\Leftrightarrow\left[{}\begin{matrix}x+2=-2\\x+2=2\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\left(-2\right)-2\\x=2-2\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-4\\x=0\end{matrix}\right.\)
d) \(\left|x+3\right|=2x-2\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-2\ge0\\\left[{}\begin{matrix}x+3=2x-2\\x+3=\left(-2x\right)+2\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x\ge2\\\left[{}\begin{matrix}x-2x=-2-3\\x-\left(-2x\right)=2-3\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ge1\\\left[{}\begin{matrix}-x=-5\\3x=-1\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ge1\\\left[{}\begin{matrix}x=5\left(tm\right)\\x=\dfrac{-1}{3}\end{matrix}\right.\end{matrix}\right.\)
Vì \(\dfrac{-1}{3}< 1\) nên \(x=5\) thỏa mãn đề bài.
e) \(\left|x+1\right|>4\)
\(\Rightarrow\left[{}\begin{matrix}x+1>4\\x+1< 4\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x>3\\x< 3\end{matrix}\right.\)
f) \(\left|x-3\right|=\left|2x-1\right|\)
(cho thời gian suy nghĩ, mình chưa làm dạng này bao giờ)
g) \(\left|2x-1\right|-1+2x=0\)
\(\Rightarrow\left|2x-1\right|=-2x+1\)
Mà \(\left|2x-1\right|=\left|-2x+1\right|\)
\(\Rightarrow\left|-2x+1\right|=-2x+1\)
\(\Rightarrow-2x+1\ge0\)
\(\Rightarrow-2x\ge-1\)
\(\Rightarrow x\ge\dfrac{-1}{-2}=\dfrac{1}{2}\)
h) \(\left|3-2x\right|=2x-3\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-3\ge0\\\left[{}\begin{matrix}3-2x=2x-3\\3-2x=-2x+3\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x\ge3\\\left[{}\begin{matrix}3+3=2x+2x\\3-3=-2x+2x\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ge\dfrac{3}{2}\\\left[{}\begin{matrix}6=4x\\0=0\end{matrix}\right.\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ge\dfrac{3}{2}\\\left[{}\begin{matrix}x=\dfrac{3}{2}\\0=0\end{matrix}\right.\end{matrix}\right.\)
Vì \(0=0\) luôn đúng nên ta có \(x=\dfrac{3}{2}\)
j) \(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|=5x\)
(đầu hàng)
Tìm x, biết:
a. 12 + x = 122
=> x=122-12
=> x= 110
b. | x | + 4 = 8
=> /x/=8-4
=> /x/=4
=> x={4;-4}
c. 3x - 5 . 32 = 32 . 4
=> 3x=32.(4+5)
=> 3x=32.32
=> 3x=34
=> x=4
a)
\(12+x=122\)
=> \(x=110\)
Vậy \(x=110\)
b)
\(\left|x\right|+4=8\)
\(\Rightarrow\left|x\right|=4\)
\(\Rightarrow\left[\begin{array}{nghiempt}x=4\\x=-4\end{array}\right.\)
Vậy x=4 ; x = - 4
c)
\(3^x-5.3^2=4.3^2\)
\(\Rightarrow3^x=3^2\left(4+5\right)\)
\(\Rightarrow3^x=3^4\)
=> x=4
Vậy x=4
\(a,x-\dfrac{3}{4}=\dfrac{1}{7}\\ x=\dfrac{1}{7}+\dfrac{3}{4}\\ x=\dfrac{25}{28}\\ b,x+\dfrac{7}{5}=\dfrac{9}{8}.\dfrac{4}{27}\\ x+\dfrac{7}{5}=\dfrac{1}{6}\\ x=\dfrac{1}{6}-\dfrac{7}{5}\\ x=\dfrac{-37}{30}\\ c,\dfrac{2}{5}-\dfrac{3}{7}=\dfrac{x}{70}\\ \dfrac{-1}{35}=\dfrac{x}{70}\\ \dfrac{-2}{70}=\dfrac{x}{70}\\ x=-2\\ d,\dfrac{2}{9}-\dfrac{7}{8}.x=1\\ \dfrac{7}{8}.x=\dfrac{2}{9}-1\\ \dfrac{7}{8}.x=\dfrac{-7}{9}\\ x=\dfrac{-7}{9}:\dfrac{7}{8}\\ x=\dfrac{-8}{9}\)
\(a,x-\dfrac{3}{4}=\dfrac{1}{7}\)
\(\Rightarrow x=\dfrac{1}{7}+\dfrac{3}{4}\)
\(\Rightarrow x=\dfrac{25}{28}\)
\(b,x+\dfrac{7}{5}=\dfrac{9}{8}.\dfrac{4}{27}\)
\(\Rightarrow x+\dfrac{7}{5}=\dfrac{1}{6}\)
\(\Rightarrow x=\dfrac{1}{6}-\dfrac{7}{5}\)
\(\Rightarrow x=-\dfrac{37}{30}\)
\(c,\dfrac{2}{5}-\dfrac{3}{7}=\dfrac{x}{70}\)
\(\Rightarrow\dfrac{-1}{35}=\dfrac{x}{70}\)
\(\Rightarrow35x=-70\)
\(\Rightarrow x=-2\)
\(d,\dfrac{2}{9}-\dfrac{7}{8}.x=1\)
\(\Rightarrow\dfrac{7}{8}x=\dfrac{2}{9}-1\)
\(\Rightarrow\dfrac{7}{8}x=-\dfrac{7}{9}\)
\(\Rightarrow x=-\dfrac{8}{9}\)
2.
Theo đề bài ta có
480 \(⋮\) a
600 \(⋮\) a
a lớn nhất
\(\Rightarrow\) a \(\in\) ƯCLN ( 480 ; 600 )
480 = 25 . 3 .5
600 = 23 . 3 . 52
a \(\in\){ 480 ; 600 } = 23 . 3 . 5 = 120
6.
Gọi số người tham gia buổi đồng diễn là a ( a \(\in\) N* )
Theo đề bài ta có
350 < a < 400
a \(⋮\) 5
a\(⋮\) 6
a\(⋮\) 8
\(\Rightarrow\) a \(\in\) BC ( 5 ; 6 ; 8 ) , 350 < a < 400
5 = 5
6 = 2 . 3
8 = 23
BCNN ( 5 ; 6 ; 8 ) = 5 . 23 . 3 = 120
a \(\in\) BC ( 5; 6 ; 8 ) = B ( 120 ) = { 0 ; 120 ; 240 ; 360 ; 480 ; 600 ...}
mà 350 < a < 400
\(\Rightarrow\) a \(\in\) { 360 }
Vậy số người tham gia buổi đồng diễn là 360 người
a)x2 +x =0
x(x+1)=0
* x=0
* x+1=0
x=0-1
x=-1
Vậy x=0 hoặc x=-1
2.(x-1) +3(x-2) =x-4
2x-2+3x-6=x-4
x+3x-x=-4+2+6
3x=4
x=\(\frac{4}{3}\)
a,
x2 +x =0
\(\orbr{\begin{cases}x^2=0\\x=0\end{cases}}\)
Vậy x= 0
b,2.(x-1) +3(x-2) =x-4
2x - 2 + 3x - 6 = x - 4
2x + 3x - x = -4 +6 + 2
4x = 0
Vậy x = 0
Sai môn học r bạn ơi
a)x\(\in\left\{-5;-4;-3;-2;-1\right\}\)
b)x\(\in\left\{-2;-1;0;1;2;3\right\}\)
c)x\(\in\left\{-4;-3;-2;-1;0;1;2;3;4\right\}\)
d)x\(\in\left\{1;2;3;4\right\}\)
e)x\(\in\left\{0;1;2;3;4\right\}\)
f)x\(\in\left\{-10;-9;-8;-7\right\}\)