(x - 5 ) . (x + 7 ) <0 tìm x ( có hai trương hợp )
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9 x 5 = 45
63 : 7 = 9
8 x 8 = 64
5 x 7 = 35
8 x 7 =56
3 x 8 = 24
40 : 5 = 8
5 x 5 = 25
7 x 5 = 35
7 x 8 =56
6 x 4 = 24
45 : 9 = 5
7 x 7 = 49
35 : 5 = 7
56 : 8 = 7
2 x 8 = 16
81 : 9 = 9
9 x 9 = 81
35 : 7 = 5
56 : 7 = 8
1/ Suy ra: -35 + 7x - 2x + 20 = 15
5x - 15 = 15
5x = 30
x = 6
2/ Suy ra: 4x - 20 - 3x - 21 = -19
x - 41 = -19
x = 22
3/ Suy ra: 8 - 4x + 3x - 15 = 14
-7 -x = 14
x = -7 -14
x = -21
4/ Suy ra: 7x - 63 - 30 + 5x = -6 + 11x
7x + 5x - 11x = -6 +63 + 30
x = 87
5/ Suy ra: -21x +35 + 14x - 28 = 28
-21x + 14x = 28 +28 - 35
-7x = 21
x= -3
6/ Suy ra: 20 - 5x + 7x - 14 = -2
2x = -8
x = -4
7/ Suy ra: 4x +15 -5x = 7
-x = -8
x = 8
8/ Suy ra: 5x - 35 +30 -10x = 20
-5x - 5 = 20
-5x = 25
x = -5
9/ Suy ra: 35 - 7x + 5x - 10 = 15
-7x + 5x = 15 +10 - 35
-2x = -10
x = 5
1: =-2/9(15/17+2/17)=-2/9
2: \(=\dfrac{-6}{3}+\dfrac{-21}{90}\)
=-2-7/30=-67/30
3: \(=\dfrac{3}{4}\cdot\dfrac{7}{5}+\dfrac{9}{7}\cdot\dfrac{3}{2}\)
=21/20+27/14=417/140
4: =-25/13(5/19+14/19)=-25/13
5: =-7/5-45/21=-7/5-15/7=-124/35
1: =-2/9(15/17+2/17)=-2/9
2: =−63+−2190=−63+−2190
=-2-7/30=-67/30
3: =34⋅75+97⋅32=34⋅75+97⋅32
=21/20+27/14=417/140
4: =-25/13(5/19+14/19)=-25/13
5: =-7/5-45/21=-7/5-15/7=-124/35
7 x 2 = 14
4 x 7 = 28
7 x 6 = 42
3 x 7 = 21
5 x 7 = 35
2 x 7 = 14
7 x 4 = 28
6 x 7 = 42
7 x 3 = 21
7 x 5 = 35
7 x 2 = 14
4 x 7 = 28
7 x 6 = 42
3 x 7 = 21
5 x 7 = 35
2 x 7 = 14
7 x 4 = 28
6 x 7 = 42
7 x 3 = 21
7 x 5 = 35
6: =>x=9/10+1/5=9/10+2/10=11/10
7: =>x=3/8-5/12=36/96-40/96=-1/24
8: =>x=7/6-5/4=14/12-15/12=-1/12
9: =>x=1/35+2/7=1/35+10/35=11/35
10: =>x=2/7-7/10=20/70-49/70=-29/70
6 x 6 = 36 63 : 7 = 9 7 x 5 = 35 6 x 7 = 42
7 x 7 = 49 48 : 6 = 8 35 : 7 = 5 42 : 6 = 7
5 x 5 = 25 49 : 7 = 7 35 : 5 = 7 42 : 7 = 6
6 x 6 = .36.... 63 : 7 = 9..... 7 x 5 = .35...... 6 x 7 = ..42...
7 x 7 = ..42... 48 : 6 = ..8... 35 : 7 = ...5.. 42 : 6 = ..7...
5 x 5 = ...25.. 49 : 7 = .7.... 35 : 5 = ...7.. 42 : 7 = ..6...
hok tốt
a: =>7/9:x=1/18-2/9=1/18-4/18=-3/18=-1/6
=>x=-7/9:1/6=-7/9*6=-42/9=-14/3
b: =>x*7/5=2/15+2/5=8/15
=>x=8/15:7/5=8/21
c: =>x-1/2=3/14:4/7=3/8
=>x=3/8+4/8=7/8
d: =>0,4x+0,3x-0,2x=0,7
=>0,5x=0,7
=>x=1,4
`1, -2/9 xx 15/17 + (-2/9) xx 2/17`
`= -2/9 xx (15/17 + 2/17)`
`= -2/9 xx 17/17`
`=-2/9xx1`
`=-2/9`
__
`-5/3 xx 6/5 + (-7/9) xx 3/10`
`= -30/15 + (-21/90)`
`= -2 + (-7/30)`
`=-60/30 +(-7/30)`
`=-67/30`
__
`15/20 xx 7/5 + (-9/7) xx (-6/4)`
`=3/4 xx7/5 + (-9/7) xx(-6/4)`
`= 21/20 + 54/28`
`= 21/20 + 27/14`
`=417/140`
__
`-25/13 xx 5/19 + (-25/13) xx 14/19`
`=-25/13 xx (5/19 +14/19)`
`=-25/13 xx 19/19`
`= -25/13 xx 1`
`=-25/13`
__
`-7/13 xx 13/5 + (-9/7) xx 5/3`
`=-7/5 +(-15/7)`
`=-124/35`
Không nhất thiết phải xét 2 trường hợp đâu bạn ạ!!
Ta có \(\left(x-5\right)\left(x+7\right)< 0\)
=> \(x-5\) và \(x+7\) trái dấu
mà \(x-5< x+7\forall x\)
=> \(\hept{\begin{cases}x-5< 0\\x+7>0\end{cases}}\) => \(\hept{\begin{cases}x-5< 0\\x+7>0\end{cases}}\) => \(\hept{\begin{cases}x< 5\\x>-7\end{cases}}\)
=> \(-7< x< 5\)