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a) (5x - 12 ) : 4 = 318 : 315
( 5x - 12 ) : 4 = 33
( 5x - 12 ) : 4 = 27
5x - 12 = 108
5x = 120
x = 24
b) 5x3 - 102 = 35
5x3 - 100 = 35
5x3 = 135
x3 = 27
x3 = 33
=> x = 3
c) 65 - 4x+2 = 20180
65 - 4x+2 = 1
4x+2 = 64
4x+2 = 43
x + 2 = 3
=> x = 1
d) 2x+1 - 2x = 32
2x . ( 2 - 1 ) = 32
2x . 1 = 32
2x = 32
2x = 25
=> x = 5
a. 8x+2x =25. 2 mũ 2
8x+2x=100
(8+2)x=100
10x=100
x=100:10
x=10
b.5x+2x=35
(5+2)x=35
7x=35
x=35:7
x=5
\(a)x^2-5x+6\)
\(=x^2-2x-3x+6\)
\(=x\left(x-2\right)-3\left(x-2\right)\)
\(=\left(x-2\right)\left(x-3\right)\)
\(b)x^3-5x^2+8x-4\)
\(=x^3-x^2+x^2-5x^2+8x-4\)
\(=x^3-x^2-4x^2+4x+4x-4\)
\(=x^2\left(x-1\right)-4x\left(x-1\right)+4\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2-4x+4\right)\)
\(=\left(x-1\right)\left(x-2\right)^2\)
\(c)x^2-5x-14\)
\(=x^2+2x-7x-14\)
\(=x\left(x+2\right)-7\left(x+2\right)\)
\(=\left(x+2\right)\left(x-7\right)\)
Bài 3
Áp dụng tính chất dãy tỉ số bằng nhau,ta có:
\(\frac{y+z+1}{x}=\frac{x+z+2}{y}=\frac{x+y-3}{z}=\frac{y+z+1+x+y+2+x+y-3}{x+y+z}=\frac{2\left(x+y+z\right)}{x+y+z}=2\)
=> 1/(x+y+z) = 2
<=> x + y + z = 1/2 <=> y + z = 1/2 - x (1)
.(y+z+1)/x = 2 <=> y + z + 1 = 2x
kết hợp với (1) => 1/2 - x + 1 = 2x
<=> x = 1/2 => y + z = 0 <=> y = -z
có (x+y-3)/z = 2
<=> x + y - 3 = 2z
<=> y - 2z = 5/2
do y = -z => -3z = 5/2 <=> z = -5/6
y = 5/6
Vậy nghiệm tìm được (x;y;z) = (1/2;5/6;-5/6)
a) 8x + 2x = 25 . 22
8x + 2x = 100
( 8 + 2 )x = 100
10x = 100
x = 100 : 10
x = 10
b) 5x + 2x = 35
( 5 + 2 )x = 35
7x = 35
x = 35 : 7
x = 5
c) 5x + x = 150 : 2 + 3
5x + x = 75 + 3
5x + x = 78
( 5 + 1 )x = 78
6x = 78
x = 78 : 6
x = 13
d) 6x + x = 511 : 59 + 31
6x + x = 52 + 31
6x + x = 25 + 3
6x + x = 28
( 6 + 1 )x = 28
7x = 28
x = 28 : 7
x = 4
e) 5x + 3x = 36 : 33 . 4 + 12
5x + 3x = 33 . 4 + 12
5x + 3x = 27 . 4 + 12
5x + 3x = 108 + 12
5x + 3x = 120
( 5 + 3 )x = 120
8x = 120
x = 120 : 8
x = 15
Bài 1:Tính
a) = -343 . 16
= -5488
b) = 625 . 16
= 10000
Bài 2:
a) 2x = 15 + 35
2x = 50
x = 50 : 2
x = 25
b) 3x = 2 - 17
3x = -15
x = -15 : 3
x = -5
c) x - 1 = 0
x = 0 + 1
x = 1
Bài 2 :
a) 2x - 35 = 15
2x = 15 + 35
2x = 50
x = 50 : 2
x = 25
b ) tương tự câu a)
c) | x - 1 | = 0
=> x - 1 = 0
x = 0 + 1
x = 1
a, ( - 168 ) + 72 . ( - 168 ) + ( - 168 ) . 27
= ( - 168 ) + ( - 12096 ) + ( - 4536 )
= - 12264 + - 4536
= - 16800
b, 22 . ( - 3 ) - ( 110 + 8 ) : ( - 3 )2
= 4 . ( - 3 ) - ( 1 + 8 ) : 9
= ( - 12 ) - 9 : 9
= ( - 12 ) - 1
= - 13
c, ( - 1075 ) - ( 29 - 1075 )
= ( - 1075 ) - ( - 1046 )
= - 29
d, ( - 9 ) + ( - 11 ) + 21 + ( - 1 )
= - 20 + 21 + ( - 1 )
= 1 + - 1
= 0
e, 30 + 12 + ( - 20 ) + ( - 12 ) - ( 30 - 20 ) + ( 12 - 12 )
= 42 + ( - 20 ) + ( - 12 ) - 10 + 0
= 22 + ( - 12 ) - 10 + 0
= 10 - 10 + 0
= 0 + 0
= 0
g, ( 13 - 135 + 49 ) - ( 13 + 49 )
= [( - 122 ) + 49 ] - 62
= ( - 73 ) - 62
= - 135
h, 35 - { 12 - [ ( - 14 ) + ( - 2 ) } ]
= 35 - { 12 - ( - 16 ) }
= 35 - 28
= 7
Bài 2:
a. x - 35 = ( - 12 ) - 3
x - 35 = - 15
x = - 15 + 35
x = 20
b, \(\frac{1}{4}\)+ \(\frac{1}{3}\): 3x = - 5
\(\frac{3}{12}+\frac{4}{12}\): 3x = - 5
\(\frac{7}{12}\): 3x = - 5
3x = \(\frac{7}{12}\): - 5
3x = \(\frac{-7}{60}\)
x = \(\frac{-7}{60}\): 3
x = \(\frac{-7}{180}\)
c,2x-1 = 8
2x-1 = 24
x = 4 + 1
x = 5
a)12(x-1)=0
=>x-1=0
=>x=1
b) 3/5x-3/4=(-3)2-|-11|
3/5x-3/4=9-11=-2
3/5x=-2+3/4=-5/4
=>x=-5/4:3/5=-25/12
c)4(x-5/8)-3/4=0,25
4(x-5/8)=0,25+3/4=1
=>x-5/8=1/4
x=1/4+5/8=7/8
2) Số đó là
27:3/5=45
a , 60 + { 75 - [ 30 + ( 5 - 3 ) 2 ] }
= 60 + { 75 - [ 30 + 22 ] }
= 60 + [ 75 - 30 - 4 }
= 60 + 75 - 30 - 4
= 135 - 30 - 4
= 105 - 4 = 101
b , 3 . 22 + 54 : 20
= 3 . 4 + 54 : 1
= 12 + 54
= 12 + 3125 = 3137
Bài 2 |:
a , x - 24 : 12 = 15
x - 24 = 15 . 12
x - 24 = 180
x = 180 + 24
x = 204
c , 2( x + 1 ) - 15 = 35
2( x + 1 ) = 50
x + 1 = 50 : 2
x + 1 = 25
x = 24
d , 36 + 4x = 56
4x = 20
=> x = 5
1)
a) 101
b) 637
2)
a) x - 24 : 12 = 15
=> x - 2 = 15
=> x = 17
b) thiếu đề
c) 2 ( x + 1 ) - 15 = 35
=> 2x + 2 = 50
=> 2x = 48
=> x = 24
d) 36 + 4x = 56
=> 4x = 20
=> x = 5
\(a,12-5x=35:5\\12-5x=7\\5x=12-7\\5x=5\\x=5:5\\x=1\\b,4-2(1-x)=2^3:4\\\\4-2(1-x)=8:4\\4-2(1-x)=2\\2(1-x)=4-2\\2(1-x)=2\\ 1-x=2:2\\1-x=1\\ x=1-1\\ x=0\)