\(\left|x-1,3\right|=2,7\)
\(\left|x+1,2\right|-2,6=4,5\)
Tìm x biết:
\(\left|x+1\right|+\left|x+2\right|+\left|x+3\right|+\left|x+4\right|=5x-1\)-1
\(\left|x+1,1\right|+\left|x+1,2\right|+\left|x+1,3\right|+\left|x+1,4\right|=5x\)
\(\left|x+1\right|-\left|3x+2\right|=x+2\)
tim x
a,\(\left|2x-1,6\right|-2,3=1,4\)
b\(5,4-\left|3x-1,2\right|=5,5\)
c,\(\left|x+1,3\right|+\left|x+2,4\right|=4x\)
d, \(\left|x-1,2\right|+\left|2,5-x\right|=0\)
giup minh nhe minh dang can gap
a/ \(\left|2x-1,6\right|-2,3=1,4\)
\(\Leftrightarrow\left|2x-1,6\right|=3,7\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1,6=3,7\\2x-1,6=-3,7\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}2x=5,3\\2x=-2,1\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=2,65\\x=-1,05\end{matrix}\right.\)
Vậy ....
b/ \(5,4-\left|3x-1,2\right|=5,5\)
\(\Leftrightarrow\left|3x-1,2\right|=-0,1\)
Mà \(\left|3x-1,2\right|\ge0\)
\(\Leftrightarrow x\in\varnothing\)
c/ \(\left|x+1,3\right|+\left|x+2,4\right|=4x\)
Mà \(\left\{{}\begin{matrix}\left|x+1,3\right|\ge0\\\left|x+2,4\right|\ge0\end{matrix}\right.\) \(\Leftrightarrow4x\ge0\)
\(\Leftrightarrow x+1,3+x+2,4=4x\)
\(\Leftrightarrow2x+3,7=4x\)
\(\Leftrightarrow3,7=4x-2x\)
\(\Leftrightarrow2x=3,7\)
\(\Leftrightarrow x=1,85\)
Vậy ....
d/ \(\left|x-1,2\right|+\left|2,5-x\right|=0\)
Mà \(\left\{{}\begin{matrix}\left|x-1,2\right|\ge0\\\left|2,5-x\right|\ge0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}\left|x-1,2\right|=0\\\left|2,5-x\right|=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x-1,2=0\\2,5-x=0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1,2\\x=2,5\end{matrix}\right.\) (loại)
Vậy ..
a, \(\left|2x-1,6\right|-2,3=1,4\)
\(\Rightarrow\left|2x-1,6\right|=3,7\)
\(\Leftrightarrow\left[{}\begin{matrix}2x-1,6=3,7\\2x-1,6=-3,7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2,65\\x=-1,05\end{matrix}\right.\)
b,\(5,4-\left|3x-1,2\right|=5,5\)
\(\Rightarrow\left|3x-1,2\right|=-0,1\) (vô lí)
Vì \(\left|x\right|\ge0\) mà \(\left|3x-1,2\right|< 0\)
Vậy, không có giá trị của x thỏa mãn.
c, \(\left|x+1,3\right|+\left|x+2,4\right|=4x\)
\(\Rightarrow\left\{{}\begin{matrix}\left|x+1,3\right|\ge0\\\left|x+2,4\right|\ge0\end{matrix}\right.\Leftrightarrow4x\ge0\)
\(\Leftrightarrow x+1,3+x+2,4=4x\)
\(\Leftrightarrow x+x+1,3+2,4=4x\)
\(\Leftrightarrow2x+3,7=4x\)
\(\Leftrightarrow2x-4x=-3,7\)
\(\Leftrightarrow-2x=-3,7\)
\(\Leftrightarrow x=\dfrac{3,7}{2}\)
d, \(\left|x-1,2\right|+\left|2,5-x\right|=0\)
\(\Rightarrow\left\{{}\begin{matrix}\left|x-1,2\right|\ge0\\\left|2,5-x\right|\ge0\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}\left|x-1,2\right|=0\\\left|2,5-x\right|=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x-1,2=0\\2,5-x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1,2\\x=2,5\end{matrix}\right.\)
\(3,2.x+\left(-1,2\right).x+2,7=-4,9\)
\(3,2.x+\left(-1,2\right).x+2,7=-4,9\)
\(x.\left(3,2+\left(-1,2\right)\right)+2,7=-4,9\)
\(x.2+2,7=-4,9\)
\(x.2=-4,9-2,7=-7,6\)
\(x=-7,6:2=-3,8\)
3,2 .x+ (-1,2).x+ 2,7= -4,9
=> x. \(\left[3,2+\left(-1,2\right)\right]\)+ 2,7= -4.9
=> x. \(\left[3,2+\left(-1,2\right)\right]\)=-7,6
=>x. 2= -7,6
=>x= -3,8
Tìm x
\(a,\left|x.\left(x-7\right)\right|=x\)
\(b,\left|x-1,1\right|+\left|x+1,2\right|+\left|x+1,3\right|+\left|x+1,4\right|=5x\)
\(c,7^{x+2}+2.7^{x-1}=345\)
a) \(\left|x\left(x-7\right)\right|=x\)
\(\Rightarrow\orbr{\begin{cases}x\left(x-7\right)=x\\x\left(x-7\right)=-x\end{cases}\Leftrightarrow\orbr{\begin{cases}x-7=1\\x-7=-1\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=8\\x=6\end{cases}}}\)
b) \(\left|x-1,1\right|+\left|x+1,2\right|+\left|x+1,3\right|+\left|x+1,4\right|=5x\)
\(\Rightarrow x-1,1+x+1,2+x+1,3+x+1,4=5x\)
\(\Leftrightarrow4x+2,8=5x\)
\(\Leftrightarrow x=2,8\)
\(a.\)\(\left|x.\left(x-7\right)\right|=x\)( Đk: \(x\ge0\))
\(\Leftrightarrow\orbr{\begin{cases}x.\left(x-7\right)=x\\x.\left(x-7\right)=-x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-7=x:x\\x-7=-x:x\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x-7=1\\x-7=-1\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=1+7\\x=-1+7\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=8\\x=6\end{cases}}\)
\(b.\)\(\left|x-1,1\right|+\left|x+1,2\right|+\left|x+1,3\right|+\left|x+1,4\right|=5x\)( Đk: \(5x\ge0\Leftrightarrow x\ge0\))
\(\Rightarrow x-1,1+x+1,2+x+1,3+x+1,4=5x\)
\(\Leftrightarrow\left(x+x+x+x\right)+\left(-1,1+1,2+1,3+1,4\right)=5x\)
\(\Leftrightarrow4x+2,8=5x\)
\(\Leftrightarrow2,8=5x-4x\)
\(\Leftrightarrow x=2,8\)
\(c.\)\(7^{x+2}+2.7^{x-1}=345\)
\(\Leftrightarrow7^{x-1}.7^{x+3}+2.7^{x-1}=345\)
\(\Leftrightarrow7^{x-1}.\left(7^{x+3}+2\right)=345\)
\(......................\)
Đến đây mk ko bt làm nữa, tự lm nhé !
tìm x biết :
a) \(3,2.x+\left(-1,2\right).x+2,7=-4,9\)
b) \(\left(-5,6\right).x+2,9.x-3,86=-9,8\)
a)
3,2 . x + ( -1,2 ) . x + 2,7 = -4,9
x . ( 3,2 - 1,2 ) + 2,7 = -4,9
x . 2 + 2,7 = -4,9
x . 2 = -4,9 - 2,7
x . 2 = -7,6
x = -7,6 : 2
x = -3,8
b) ( -5,6 ) . x + 2,9 . x - 3,86 = -9,8
x . ( -5,6 + 2,9 ) - 3,86 = -9,8
x . ( -2,7 ) - 3,86 = -9,8
x . ( -2,7 ) = -9,8 + 3,86
x . ( -2,7 ) = -5,94
x = ( -5,94 ) : ( -2,7 )
x = 2,5
a) 3,2 x + (-1,2) x +2,7 = -4,9
x(3,2 +-1.2 ) +2,7 =-4,9
x . 2 +2,7 =-4,9
x.2 = -7,6
x= -3,8.
b) (-5,6) . x + 2,9 x - 3,86 = -9,8
x (-5,6 + 2,9) - 3,86 = -9,8
x. -2,7 = -5,94
x =2,2
a ) 3,2 . x + -1,2 . x + 2,7 = -4,9
3,2 . x + -1,2 . x = -4,9 - 2,7
3,2 . x + -1,2 . x = -7,6
( 3,2 + -1,2 ) . x = -7,6
2 . x = -7,6
x = -7,6 : 2
x = -3,8
b) -5,6 . x + 2,9 . x - 3,86 = -9,8
-5,6 . x + 2,9 . x = -9,8 + 3,86
-5,6 . x + 2,9 . x = -5,94
( -5,6 + 2,9 ) . x = -5,94
-2,7 . x = -5,94
x = -5,94 : -2,7
x = 2,2
tìm x
\(3,2x+\left(-1,2\right)x+2,7=-4,9\)
\(3,2x+\left(-1,2\right)x+2,7=-4,9\)
\(\Leftrightarrow2x+2,7=-4,9\)
\(\Leftrightarrow2x=-7,6\)
\(\Leftrightarrow x=-3,8\)
3,2x + ( -1,2 )x + 2,7 = -49
(3,2 + -1,2 )x = -49 - 2,7
2x = -51,7
x = -51,7 : 2
x = -25,85
tìm x biết
\(3,2.x+\left(-1,2\right).x+2,7=-4,9\)
Giải các phương trình sau :
a) \(1,2-\left(x-0,8\right)=-2\left(0,9+x\right)\)
b) \(2,3x-2\left(0,7+2x\right)=3,6-1,7x\)
c) \(3\left(2,2-0,3x\right)=2,6+\left(0,1x-4\right)\)
d) \(3,60,5\left(2x+1\right)=x-0,25\left(2-4x\right)\)
a)\(1,2-x+0,8=-1,8-2x\)
\(2-x=-1,8-2x\)
\(2x-x=-1,8-2\)
\(x=-3,8\)
Vậy S={-3,8}
b)\(2,3x-1,4-4x=3,6-1,7x\)
\(2,3x-4x+1,7x=3,6+1,4\)
0=5(vô lí)
Vậy S={\(\varnothing\)}
c)\(6,6-0.9=2,6+0,1x-4\)
\(5,7=0,1x-1,4\)
\(-4,3=0,1x\)
\(x=-43\)
Câu c đáng lẽ là như thế này chứ.
c, 3(2.2-0.3x)=2.6+(0.1x-4)
<=> 6.6-0.9x=2.6+0.1x-4
<=> 6.6-0.9x=0.1x-1.4
<=>-0.9x -0.1x =-8
<=> -x=-8
<=> x=8
Mình trả lời câu d luôn nhé.
d, 3.6-0.5(2x+1)=x-0.25(2-4x)
<=> 3.6-x-0.5=x-0.5+x
<=> 3.1-x=2x-0.5
<=>-x-2x=-3.6
<=> -3x=-3.6
<=> x= 1.2
a, \(\left|x-1,5\right|+\)\(\left|2,5-x\right|=0\)
b, \(\left|2x+3\right|-\)\(\left|x-4\right|=0\)
c, \(\left|x+1,2\right|+\)\(\left|x+1,3\right|=3x\)