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a: \(\Leftrightarrow x\in\left\{0;-3\right\}\)
b: =>(x-3)(x-5)=0
hay \(x\in\left\{3;5\right\}\)
c: =>x(x-4)=0
hay \(x\in\left\{0;4\right\}\)
(2x -6) : (4x-20) = 0
=> 2x -6 = 0
2x = 6
x = 3
b) ( x + 1) + (x+2) + ...+ (x+15) = 180
x.15 + (1+2+...+15) = 180
x.15 + 120 = 180
x.15 = 60
x = 4
a, (x-35)-120=0
x-35=120+0
x-35=120
x=120+35
x=155
b,7x-8=713
7x=713+8
7x=721
x=721:7
x=103
c,4x:17=0
4x=0.17
4x=0
x=0:4
x=0
d,75+(131-x)=205
131-x=205-75
131-x=130
x=131-130
x=1
e,2x-36=4^6:4^3
2x-36=4^6-3
2x-36=4^3
2x-36=48
2x=48-36
2x=12
x=12:2
x=6
f, 2011^2.2011^x=2011^6
2011^x=2011^6: 2011^2
2011^x=2011^6-2
2011^x=2011^4
x=4
bn
\(\text{a/ ( x-35 ) - 120 = 0}\)
\(\Rightarrow\left(x-35\right)=120\)
\(\Rightarrow x=120+35\)
\(x=155\)
\(\text{b/ 7x - 8 = 713}\)
\(\Rightarrow7x=713+8=721\)
\(x=721:7=103\)
\(\text{c/ 4x : 17 = 0}\)
\(4x=0\)
\(x=0\)
\(\text{d/ 75+(131-x) = 205}\)
\(131-x=205-75=130\)
\(x=131-130=1\)
\(e.2x-36=4^6:4^3\)
\(2x-36=4^3=64\)
\(2x=64+36=100\)
\(x=100:2=50\)
\(f.2011^2.2011^x=2011^6\)
\(\text{Ta có công thức }:x^n.x^m=x^{n+m}\)
\(\Rightarrow x=6-2=4\)
a)\(\text{ 4x - 15 = -75 - x}\)
\(4x-15+75+x=0\)
\(5x+60=0\)
\(5x=-60\)
\(x=-14\)
Vậy....
Thêm dấu suy ra trc mỗi dòng nha
Học tốt
a) \(4x+4=16\)
\(4x=12\)
\(x=3\)
b) \(34\left(2x-6\right)=0\)
\(2x=6\)
\(x=3\)
c) \(15:x=5\)
\(x=15:5=3\)
d) \(20-\left(x+14\right)=5\)
\(x+14=20-5=15\)
\(x=15-14=1\)
a) \(4x+4=16\)
\(\Rightarrow4x=16-4\)
\(\Rightarrow4x=12\)
\(\Rightarrow x=\dfrac{12}{4}\)
\(\Rightarrow x=3\)
b) \(34\cdot\left(2x-6\right)=0\)
\(\Rightarrow2x-6=\dfrac{0}{36}\)
\(\Rightarrow2x-6=0\)
\(\Rightarrow2x=6\)
\(\Rightarrow x=\dfrac{6}{2}\)
\(\Rightarrow x=3\)
c) \(15:x=5\)
\(\Rightarrow x=15:5\)
\(\Rightarrow x=3\)
d) \(20-\left(x+14\right)=5\)
\(\Rightarrow x+14=20-5\)
\(\Rightarrow x+14=15\)
\(\Rightarrow x=15-14\)
\(\Rightarrow x=1\)
18 - 4\(x\) = -20 - 6\(x\)
-4\(x\) + 6\(x\) = - 20 - 18
2\(x\) = - 38
\(x\) = - 19
h, -15 \(\times\) 24 = -7\(x\) + 32
7\(x\) = 360 + 32
7\(x\) = 392
\(x\) = 392:7
\(x\) = 56
i, 15\(x\) -3.(4\(x\) - 6) = -12 + 36
15\(x\) - 12\(x\) + 18 = 24
3\(x\) = 24 - 18
3\(x\) = 6
\(x\) = 2
k, -10\(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) = -20
a) 4x - 15 + x = 75
4x + x = 75 + 15
5x = 90
x = 90 : 5
x = 18
b) (x - 6).(2x - 6) = 0
⇒\(\left[{}\begin{matrix}x-6=0\\2x-6=0\end{matrix}\right.\)
⇒\(\left[{}\begin{matrix}x=0+6\\2x=0+6\end{matrix}\right.\)
⇒\(\left[{}\begin{matrix}x=6\\2x=6\end{matrix}\right.\)
⇒\(\left[{}\begin{matrix}x=6\\x=6:2\end{matrix}\right.\)
⇒\(\left[{}\begin{matrix}x=6\\x=3\end{matrix}\right.\)
`4x-15+x=75`
`(4x+x)-15=75`
`5x-15=75`
`5x=75+15`
`5x=90`
`x=90:5`
`x=18`
_______________________________
`(x-6).(2x-6)=0`
`@Th1:`
`x-6=0`
`x=0+6`
`x=6`
`@Th2:`
`2x-6=0`
`2x=0+6`
`2x=6`
`x=6:2`
`x=3`
Vậy `x = {6;3}`