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Lê Hoàng Khả Nhi
a, x.0 = 0
=> x = 0
b, 23( x -4) = 23
=> x -4 = 23/23
=> x -4 = 1
=> x = 1 + 4
=> x = 5
c, 12x + 40 = 76
=> 12x = 76 -40
=> 12x = 36
=> x = 36/12
=> x = 3
a) \(x.0=0\)
\(=>x\)có vô số nghiệm
b) \(23\left(x-4\right)=23\)
\(23x-92=23\)
\(23x=115\)
\(x=5\)
vậy \(x=5\)
c) \(12x+40=76\)
\(12x=36\)
\(x=3\)
vậy \(x=3\)
a, ( x + 1 ) + ( x + 2 ) + ... + ( x + 199 ) = 0
x + 1 + x + 2 + ... + x + 199 = 0
( x + x + ... + x ) + ( 1 + 2 + ... + 199 ) = 0
199x + 19900 = 0
199x = 0 - 19900
199x = -19900
x = -19900 : 199
x = -100
Vậy ...
b, ( x - 30 ) + ( x - 29 ) + ( x - 28 ) = 11
x - 30 + x - 29 + x - 28 = 11
( x + x + x ) - ( 30 + 29 + 28 ) = 11
3x - 87 = 11
3x = 11 + 87
3x = 98
x = \(\frac{98}{3}\)
Vậy ...
a) 3636:(12x-91) =36
12x-91 = 3636:36
12x-91=101
12x=101+91
12x=192
x=192:12
x=16
b) (x : 23+45).67=8911
(x : 23+45)=8911:67
(x : 23+45)=133
x:23=133-45
x:23=88
x=88.23
x=2024
c) 420+65.4 =(x+175):5+30
420+260=(x+175):5+30
680=(x+175):5+30
(x+175):5=680-30
(x+175):5=650
(x+175)=650x5
(x+175)=3250
x=3250-175
x=3075
d) (32.15):2=(x+70):14-10
480:2=(x+70):14-10
240=(x+70):14-10
(x+70):14=240+10
(x+70):14=250
(x+70)=250.14
(x+70)=3500
x=3500-70
x=3430
e)x-4867=(175.2-50.70):25+23
x-4867=(350-3500):25+23
x-4867=-3150:25+23
x-4867=-126+23
x-4867=-103
x=-103+4867
x=4764
1/\(-2020+23+x=-2020\\ \Leftrightarrow23+x=-2020+2020\\ \Leftrightarrow23+x=0\\ \Leftrightarrow x=0-23\\ \Leftrightarrow x=-23\)
Vậy...
2/\(2x-35=25\\ \Leftrightarrow2x=60\\ \Leftrightarrow x=30\)
Vậy...
3/\(3x+17=26\\ \Leftrightarrow3x=9\\ \Leftrightarrow x=3\)
Vây...
4/\(\left|\text{x}-1\right|=0\\ \Leftrightarrow x-1=0\\ \Leftrightarrow x=1\)
Vậy...
5/ \(-17.\left|x\right|=-34\\ \Leftrightarrow\left|x\right|=2\\ \Rightarrow\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\)
VẬy...
\((x-6)(3x-9)>0\)
TH1:
\(\orbr{\begin{cases}x-6< 0\\3x-9< 0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x< 6\\x< 3\end{cases}}\)\(\Rightarrow x< 3\)
TH2:
\(\orbr{\begin{cases}x-6>0\\3x-9>0\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x>6\\x>3\end{cases}}\)\(\Rightarrow x>6\)
Vậy \(x< 3\) hoặc \(x>6\)thì \((x-6)(3x-9)>0\)
Học tốt!
20.
\((2x-1)(6-x)>0\)
TH1:
\(\orbr{\begin{cases}2x-1>0\\6-x>0\end{cases}\Rightarrow\orbr{\begin{cases}x< \frac{1}{2}\\x< 6\end{cases}}\Rightarrow x< 6}\)
TH2
\(\orbr{\begin{cases}2x-1< 0\\6-x< 0\end{cases}\Rightarrow\orbr{\begin{cases}x>\frac{1}{2}\\x>6\end{cases}}\Rightarrow x>\frac{1}{2}}\)
Vậy \(x< 6\)hoặc \(x>\frac{1}{2}\)thì \((2x-1)(6-x)>0\)
`x.0=0`
`=> x ∈N`
_____________________
`23.(x-4)=23`
`x-4=23:23`
`x-4=1`
`x=1+4`
`x=5`
_____________________
`12x+40=76`
`12x=76-40`
`12x=36`
`x=36:12`
`x=3`
______________________
`207+(x+35)=312`
`x+35=312-207`
`x+35=105`
`x=105-35`
`x=70`
___________________
`(x-6).25=0`
`x-6=0:25`
`x-6=0`
`x=0+6`
`x=6`
_______________
`12x+13x=25`
`(12+13)x=25`
`25x=25`
`x=25:25`
`x=1`
`x.0=0`
`0=0` (Luôn đúng)
`=>` Mọi giá trị của `x` đều t/m
___________________________________
`23(x-4)=23`
`x-4=23:23=1`
`x=1+4=5`
___________________________________
`12x+40=76`
`12x=76-40=36`
`x=36:12=3`
___________________________________
`207+(x+35)=312`
`x+35=312-207=105`
`x=105-35=70`
___________________________________
`(x-6).25=0`
`x-6=0:25=0`
`x=6`
___________________________________
`12x+13x=25`
`(12+13)x=25`
`25x=25`
`x=25:25=1`