Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a) 187 - {[497 - ( 8 x X + 11) : X] : 3 - 78} = 150
=> {[497 - ( 8 x X + 11) : X] : 3 - 78} = 187 - 150
=> {[497 - (8 x X + 11) : X] : 3 - 78} = 37
=> [497 - (8 x X +11): X ] : 3 - 78 = 37
=> [497 - (8 x X + 11) : X] : 3 = 115
=> 497 - ( 8 x X + 11) : X = 345
=> (8 x X + 11) : X = 497 - 345 = 152
=> 8X + 11 = 152X
=> 152X - 8X = 11
=> 144X = 11
=> X = 11/144
b) 19,96 + 4,19 - 24,15 : \(\left(x:\frac{1}{4}-\frac{1}{4}\right)=23,15\)
=> 19,96 + 4,19 - 24,15 : \(\left(x\cdot4-\frac{1}{4}\right)=23,15\)
=> 24,15 - 24,15 : \(\left(x\cdot4-\frac{1}{4}\right)\)= 23,15
=> 24,15 : \(\left(x\cdot4-\frac{1}{4}\right)\)= 1
=> \(x\cdot4-\frac{1}{4}=24,15\)
=> \(x\cdot4=24,15+\frac{1}{4}=24,4\)
=> x = 24,4 : 4 = 6,1
Còn câu c tương tự
a) \(x+\frac{5}{12}=-1\frac{2}{7}\)
\(\Leftrightarrow x+\frac{5}{12}=\frac{-9}{7}\)
\(\Leftrightarrow x=\frac{-143}{84}\)
Vậy ...
b) \(4\frac{1}{2}x:\frac{5}{12}=0,5\)
\(\Leftrightarrow\frac{9}{2}x=\frac{5}{24}\)
\(\Leftrightarrow x=\frac{5}{108}\)
vậy...
c) \(7,5.1\frac{3}{4}x=6\frac{2}{5}\)
\(\Leftrightarrow\frac{105}{8}x=\frac{32}{5}\)
\(\Leftrightarrow x=\frac{256}{525}\)
Vậy ...
a, (0.5-\(\dfrac{2}{3}\))x=\(\dfrac{7}{12}\)
\(\Leftrightarrow\)\(\dfrac{-1}{6}\)x=\(\dfrac{7}{12}\)
\(\Leftrightarrow\)x= \(\dfrac{-7}{2}\)=-3,5
b.x \(\div\)4\(\dfrac{1}{3}\)=-2,5
\(\Leftrightarrow\) x \(\div\)\(\dfrac{13}{3}\)=-2,5
\(\Leftrightarrow\) x = -2,5 \(\times\)\(\dfrac{13}{3}\)
\(\Leftrightarrow\) x = \(\dfrac{-65}{6}\)
x.(0.5-\(\dfrac{2}{3}\))=\(\dfrac{7}{12}\)
x=\(\dfrac{-7}{2}\)
Trả lời
a)2x-15=17
2x =17-15
2x =2
x =2:2
x =1
b)3 1/8-1/2x=0,5
25/8-1/2x=1/2
1/2x=25/8-1/2
1/2x=21/8
x=21/8.2/1
x=21/4
c)8 1/4x+2 1/3=20
33/4x+7/3 =20
33/4x =20-7/3
33/4x =53/3
x =53/3.4/33
x =...
a) 2x - 15 = 17
2x = 17 + 15
2x = 32
x = 32 : 2
x = 16
Vậy x = 16
b) \(3\frac{1}{3}-\frac{1}{2}x=0,5\)
\(\frac{10}{3}-\frac{1}{2}x=\frac{1}{2}\)
\(\frac{1}{2}x=\frac{10}{3}-\frac{1}{2}\)
\(\frac{1}{2}x=\frac{17}{6}\)
\(x=\frac{17}{6}:\frac{1}{2}\)
\(x=\frac{17}{3}\)
Vậy x = 17/3
c) \(8\frac{1}{4}x+2\frac{1}{3}=20\)
\(\frac{33}{4}x+\frac{7}{3}=20\)
\(\frac{33}{4}x=20-\frac{7}{3}\)
\(\frac{33}{4}x=\frac{53}{3}\)
\(x=\frac{53}{3}:\frac{33}{4}\)
\(x=\frac{212}{99}\)
Vậy x = 212/99
=))
a.Ta có:|2x-1|=2x-1\(\Leftrightarrow\)2x-1\(\ge\)0\(\Leftrightarrow\)x\(\ge\)\(\dfrac{1}{2}\)
|2x-1|=1-2x\(\Leftrightarrow\)2x-1<0\(\Leftrightarrow\)x<\(\dfrac{1}{2}\)
ĐK:\(x\ge\dfrac{1}{2}\)
\(2x-1=2x-1\)
\(\Leftrightarrow2x-1-2x+1=0\)
\(\Leftrightarrow0x=0\)
\(\Rightarrow\)Tập no của PT là S={\(\forall x\)|x\(\ge\dfrac{1}{2}\)}
b.|0,5-3x|=3x-0,5\(\Leftrightarrow\)x<2,5
=0,5-3x\(\Leftrightarrow x\ge2,5\)
ĐK:x<2,5
Gỉai
0,5-3x=3x-0,5
\(\Leftrightarrow\)0,5-3x-3x+0,5=0
\(\Leftrightarrow\)1-6x=0
\(\Leftrightarrow x=\dfrac{1}{6}\)(TMĐKXĐ)
\(\Rightarrow\)tập no của PT là S={\(\dfrac{1}{6}\)}
c.|5x+1-10x|=0,5\(\Leftrightarrow\)|1-5x|=0,5\(\Leftrightarrow x< \dfrac{1}{5}\)
\(\Leftrightarrow\)|1-5x|=-0,5\(\Leftrightarrow\)x\(\ge\dfrac{1}{5}\)
ĐK:\(x< \dfrac{1}{5}\)
Gỉai
1-5x=0,5
\(\Leftrightarrow5x=0,5\)
\(\Leftrightarrow x=0,1\)(loại)
\(\Rightarrow pt\) trên vô nghiệm
d.|x+2|-|x-7|=0
ĐK:x\(\ne\pm2\);x\(\ne\pm7\)
Gỉai
\(\left\{{}\begin{matrix}x+2-x+7=0\\x-2-x-7=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}-9=0\\-2x-9=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}-9=0\left(KTMĐKXĐ\right)\\x=-4,5\left(TMĐKXĐ\right)\end{matrix}\right.\)
\(\Rightarrow\)tập no của phương trình là S={-4,5}
a, \(1\frac{1}{2}.x-0,5x+20\%x=31\)
\(\frac{3}{2}x-\frac{1}{2}x+\frac{1}{5}x=31\)
\(x\left(\frac{3}{2}-\frac{1}{2}+\frac{1}{5}\right)=31\)
\(x.\frac{6}{5}=31\)
\(x=\frac{155}{6}\)
b, \(\frac{x-2}{7}=\frac{-7}{2-x}\)
\(\Rightarrow\frac{x-2}{7}=\frac{-7}{-\left(x-2\right)}\)
\(\Rightarrow-\left(x-2\right)\left(x-2\right)=7.\left(-7\right)=-49\)
\(\Rightarrow\left(x-2\right)^2=49=7^2\)
\(\Rightarrow\orbr{\begin{cases}x-2=7\\x-2=-7\end{cases}\Rightarrow}\orbr{\begin{cases}x=9\\x=-5\end{cases}}\)
Giải:
\(\left(x.0,5-\dfrac{3}{7}\right):\dfrac{1}{2}=1\dfrac{1}{7}\)
\(\Leftrightarrow\left(x.0,5-\dfrac{3}{7}\right).2=\dfrac{8}{7}\)
\(\Leftrightarrow x-\dfrac{6}{7}=\dfrac{8}{7}\)
\(\Leftrightarrow x=\dfrac{8}{7}+\dfrac{6}{7}\)
\(\Leftrightarrow x=\dfrac{14}{7}=2\)
Vậy ...