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a) \(55-4x-4\left(-x+3\right)=6-2\left(-8-3x\right)\)
\(55-4x+4x-12=6+16+6x\)
\(43-6-16=6x\)
\(6x=21\)
\(x=3,5\)
b) \(-5\left(-2x-6\right)-9\left(4-7x\right)=51-3x+6\left(x-9\right)\)
\(10x+30-36+63x=51-3x+6x-54\)
\(73x-6=-3+3x\)
\(73x-3x=-3+6\)
\(70x=3\)
\(x=\frac{3}{70}\)
c) \(93+\left|6-3x\right|-39=231\)
\(\left|6-3x\right|+54=231\)
\(\left|6-3x\right|=177\)
\(\Rightarrow\orbr{\begin{cases}6-3x=177\\6-3x=-177\end{cases}}\Rightarrow\orbr{\begin{cases}3x=6-177\\3x=6+177\end{cases}}\Rightarrow\orbr{\begin{cases}3x=-171\\3x=183\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-57\\x=61\end{cases}}\)
\(6-\left(3x-\frac{1}{3}\right)=2x+\frac{1}{3}\)
\(\Leftrightarrow6-\left(3x-\frac{1}{3}\right)-2x-\frac{1}{3}=0\)
\(\Leftrightarrow6-3x+\frac{1}{3}-2x-\frac{1}{3}=0\)
\(\Leftrightarrow-5x+6=0\)
\(\Leftrightarrow6=5x\)\(\Leftrightarrow x=\frac{6}{5}\)
Học tút!
c ( 3x2 -6 ) - 43 = 53
( 3x2 -6 ) - 43 = 125
3x2 -6=125+43
3x2 -6=168
3x2=168+6
3x2=174
x2=174:3
x2=58(đề sai)
d) 3x + 2x ( 23 . 5 - 32 . 4 ) + 52 = 44
3x + 2x ( 8 . 5 - 9 . 4 ) + 25 = 256
3x + 2x.4 + 25 = 256
3x + 2x.4=256-25
3x + 2x.4=231
(3+2).x.4=231
5x.4=231
5x=231:4
5x=57,75
x=57,75:5
x=11,55
e) 720 : [ 41 - ( 2x - 5 ) ] = 23 . 5
720 : [ 41 - ( 2x - 5 ) ] =40
41 - ( 2x - 5 )=720:40
41 - ( 2x - 5 )=18
2x - 5=41-18
2x - 5=23
2x=23+5
2x=28
x=28:2
x=14
a) ( 2x - 5 ) + 17 = 6
( 2x - 5 ) = 6 - 17
( 2x - 5 ) = - 11
2x = - 11 + 5
2x = - 6
x = - 6 : 2
x = - 3
Vậy x = - 3
b) 10 - 2( 4 - 3x ) = - 4
2 ( 4 - 3x ) = 10 - ( -4 )
2 ( 4 -3x ) = 10 + 4 = 14
4 - 3x = 14 : 2 = 7
3x = 4 - 7 = -3
x = -3 : 3
x = - 1
Vậy x = - 1
c ) - 12 + 3 ( - x + 7 ) = - 18
3 ( - x + 7 ) = - 18 - ( - 12 )
3 ( - x + 7) = - 18 + 12 = - 6
( - x + 7 ) = - 6 : 3
- x + 7 = - 2
- x = - 2 - 7
- x = - 9
=> x = 9
Vậy x = 9
d) 24 : ( 3x - 2 ) = - 3
3x - 2 = 24 : ( - 3 )
3x - 2 = - 8
3x = - 8 + 2
3x = - 6
x = - 6 : 3
x = - 2
Vậy x = - 2
e ) - 45 : [ 5 . ( - 3 - 2x )] = 3 ( câu này bạn viết thiếu đe nha , làm mình tính mãi không ra )
5 . ( - 3 - 2x ) = - 45 : 3
5 . ( -3 - 2x ) = - 15
- 3 - 2x = - 15 : 5
- 3 - 2x = - 3
2x = - 3 - ( - 3 )
2x = - 3 + 3
2x = 0
=> x = 0
Vậy x = 0
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a) 3x – 15 = 25 – 5x
=> 3x + 5x = 25 + 15
=> 8x = 40
=> x = 5
b) 3x - 17 = 2x – 7
=> 3x - 2x = -7 + 17
=> x = 10
c) 2x – 17 = – (3x – 18)
=> 2x - 17 = -3x + 18
=> 2x + 3x = 18 + 17
=> 5x = 35
=> x = 7
d) 3x – 14 = 2(x – 9) + 1
=> 3x - 14 = 2x - 18 + 1
=> 3x - 2x = -18 + 1 + 14
=> x = -3
f) (x – 5)2 = 9
\(\Rightarrow\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=8\\x=2\end{matrix}\right.\)
a) Ta có: \(3x-15=25-5x\)
\(\Leftrightarrow3x-15-25+5x=0\)
\(\Leftrightarrow8x-40=0\)
\(\Leftrightarrow8x=40\)
hay x=5
Vậy: x=5
b) Ta có: \(3x-17=2x-7\)
\(\Leftrightarrow3x-17-2x+7=0\)
\(\Leftrightarrow x-10=0\)
hay x=10
Vậy: x=10
c) Ta có: \(2x-17=-\left(3x-18\right)\)
\(\Leftrightarrow2x-17=-3x+18\)
\(\Leftrightarrow2x-17+3x-18=0\)
\(\Leftrightarrow5x-35=0\)
\(\Leftrightarrow5x=35\)
hay x=7
Vậy: x=7
d) Ta có: \(3x-14=2\left(x-9\right)+1\)
\(\Leftrightarrow3x-14=2x-18+1\)
\(\Leftrightarrow3x-14-2x+18-1=0\)
\(\Leftrightarrow x+3=0\)
\(\Leftrightarrow x=-3\)
Vậy: x=-3
f) Ta có: \(\left(x-5\right)^2=9\)
\(\Leftrightarrow\left[{}\begin{matrix}x-5=3\\x-5=-3\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=8\\x=2\end{matrix}\right.\)
Vậy: \(x\in\left\{2;8\right\}\)
5)
để \(\frac{5x-3}{x+1}\)là số nguyên
\(5x-3⋮x+1\)
\(x+1⋮x+1\)
\(\Rightarrow5\left(x+1\right)⋮x+1\)
\(5x-3-\left(5x-5\right)⋮x+1\)
\(-2⋮x+1\)
\(\Rightarrow x+1\inƯ\left(2\right)=\left\{\pm1;\pm2\right\}\)
x+1 | 1 | -1 | 2 | -2 |
x | 0 | -2 | 1 | -3 |
Vậy \(x\in\left\{0;-2;1;-3\right\}\)
\(a, \left(x^2+3\right)\left(3x-6\right)\)
\(\Rightarrow\orbr{\begin{cases}x^2+3=0\\3x-6=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x^2=-3\\3x=6\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x\in\varnothing\\x=2\end{cases}}\)
a. |x+15|+1=3x
=> |x+15|=3x-1
+) x+15=3x-1
=> x-3x=-1-15
=> -2x=-16
=> x=8
+) x+15=-(3x-1)
=> x+15=-3x+1
=> x+3x=1-15
=> 4x=-14
=> x=-7/2
Vậy x E {-7/2; 8}
b. |2x-5|+x=2
=> |2x-5|=2-x
+) 2x-5=2-x
=> 2x+x=2+5
=> 3x=7
=> x=7/3
+) 2x-5=-(2-x)
=> 2x-5=x-2
=> 2x-x=-2+5
=> x=3
Vậy x E {7/3; 3}.
a.|x+15|+1=3x
=>|x+15|=3x-1
+)x+15=3x-1
=>x-3x=-1-15
=>-2x=-16
=>x=8
+)x+15=-3x+1
=>x+3x=1-15
=>4x=-14
=>x=-7/2
Vậy:x=8 và x=-7/2
b.|2x-5|+x=2
=>|2x-5|=2-x
+)2x-5=2-x
=>2x+x=2+5
=>3x=7
=>x=7/3
+)2x-5=-2-x
=>2x+x=-2+5
=>3x=3
=>x=1
Vậy:x=7/3 và x=1.
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