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A = / x^5 - 32 / - 17
Vì 2^5 = 32 nên / x^5 - 32 / có giá trị nhỏ nhất là 0
Vậy GTNN của A là 0 - 17 = -17
B = / x - 9 / - x + 15
/ x - 9 / đạt GTNN khi x = 9 .
Vậy GTNN của B là 0 - 9 + 15 = 6
C = / x - 5 / + x - 3
/ x - 5 / đạt GTNN khi x = 5
Vậy GTNN của C là 0 + 5 - 3 = 2
D = 17 - / / x / - 2 /
Muốn D càng lớn thì / / x / - 2 / ( hay còn gọi là số trừ trong phép tính trên ) phải càng nhỏ .
GTNN của / / x / - 2 / đạt khi x thuộc 2 ; -2
Vậy GTLN của D là 17 - 0 = 17
a, -121 - [-35 - x] = 50
<=> -35 - x = -121 - 50
<=> -35 - x = -171
<=> x = -171 + [-35] = -206
Vậy x = -206
b, 17 + x - [352 - 400] = -32
<=> 17 + x - [-48] = -32
<=> 17 + x + 48 = -32
<=> 17 + x = -32 - 48
<=> 17 + x = -80
<=> x = -80 - 17
<=> x = -97
Vậy x = -97
c, 2130 - [x + 130] + 72 = -64
<=> 2130 - [x + 130] = -64 - 72
<=> 2130 - [x + 130] = -136
<=> x + 130 = 2130 - [-136]
<=> x + 130 = 2130 + 136
<=> x + 130 = 2266
<=> x = 2266 - 130 = 2136
d, |x| - 5 = -1
<=> |x| = -1 + 5
<=> |x| = 4
<=> x = 4 hoặc x = -4
e, |x+ 2| - 12 = -1
<=> |x + 2| = -1 + 12
<=> |x + 2| = 11
<=> x + 2 = 11 hoặc x + 2 = -11
<=> x = 11 - 2 hoặc x = -11 - 2
<=> x = 9 hoặc x = -13
f,g Tương tự
a) -121 - (-35 - x) = 50
-121 + 35 + x = 50
x - 86 = 50
x = 50 + 86
x = 136
b) 17 + x - (352 - 400) = -32
17 + x - 352 + 400 = -32
x + 65 = -32
x = -32 - 65
x = -97
c) 2130 - (x + 130) + 72 = -64
2130 - x - 130 + 72 = -64
2072 - x = -64
-x = -64 - 2072
-x = -2136
x = 2136
d) |x| - 5 = -1
|x| = -1 + 5
|x| = 4
x = 4; -4
e) |x + 2| - 12 = -1
|x + 2| = -1 + 12
|x + 2| = 11
x + 2 = 11; -11
x + 2 = 11 hoặc x + 2 = -11
x = 11 - 2 x = -11 - 2
x = 9 x = -13
f) 135 - |9 - x| = 35
-|9 - x| = 35 - 135
-|9 - x| = -100
|9 - x| = 100
9 - x = 100; -100
9 - x = 100 hoặc 9 - x = -100
x = 100 + 9 x = -100 + 9
x = 109 x = -91
a,48:(7x-15)=8
7x-15=6
7x=21
x=3
b,100-3(5-x)=73
3(5-x)=27
5-x=9
x=-4
c,[(x+32)-17]*2+8=50
[(x+32)-17]*2=42
(x+32)-17=21
x+32=38
x=6
a)48:(7x-15)=8
(7x-15)=48:8
(7x-15)=6
7x=6+15
7x=21
x=21:7
x=3
b)100-3(5-x)=73
3(5-x)=100-73
3(5-x)=27
5-x=27:3
5-x=9
x=5-9
x=-4
c)[(x+32)-17]x2+8=50
[(x+32)-17]x2=50+8=58
[(x+32)-17]=58:2
x+32 =29+17
x =46-32
x =14
`a) 3-5+(-x+3)=6`
`=>5+(-x+3)=3-6`
`=>5+(-x+3)=-3`
`=>-x+3=-3-5`
`=>-x+3=-8`
`=>-x=-8-3`
`=>-x=-11`
`=>x=11`
__
`b)(-4-x)+(4-15)=-15`
`=>(-4-x)+-11=-15`
`=>-4-x=-15-(-11)`
`=>-4-x=-15+11`
`=>-4-x=-4`
`=>x=-4-(-4)`
`=>x=-4+4`
`=>x=0`
`c)(11+x)-(-11-9)=32`
`=>(11+x)-(-20)=32`
`=>(11+x)+20=32`
`=>11+x=32-20`
`=>11+x=12`
`=>x=12-11`
`=>x=1`
`a)3-5+(-x+3)=6`
`5+(-x+3)=3-6`
`5+(-x+3)=-3`
`-x+3=-3-5`
`-x+3=-8`
`-x=-8-3`
`-x=-11`
`x=11`
`b,(-4-x)+(4-15)=-15`
`(-4-x)+(-11)=-15`
`-4-x=-15-(-11)`
`-4-x=-15+11`
`-4-x=-4`
`x=-4-(-4)`
`x=-4+4`
`x=0`
`c)(11+x)-(-11-9)=32`
`(11+x)-(-20)=32`
`(11+x)+20=32`
`11+x=32-20`
`11+x=12`
`x=12-11`
`x=1`
1. \(x-8+32=68\)
\(x-8=68-32\)
\(x-8=36\)
\(x=36+8\)
\(x=44\)
_____
2. \(x+8+32=68\)
\(x+8=68-32\)
\(x+8=36\)
\(x=36-8\)
\(x=28\)
_____
3. \(98-x+34=43\)
\(98-x=43-34\)
\(98-x=9\)
\(x=98-9\)
\(x=89\)
_____
4. \(98+x-34=43\)
\(98+x=43+34\)
\(98+x=77\)
\(x=77-98\)
\(x=-21\)
_____
5. \(x:5:4=800\)
\(x:5=800.4\)
\(x:5=3200\)
\(x=3200.5\)
\(x=16000\)
_____
6. \(18+x=384:8\)
\(18+x=48\)
\(x=48-18\)
\(x=30\)
_____
7. \(\left(84,6-2\times x\right):3,02=5,1\)
\(84,6-2.x=5,1.3,02\)
\(84,6-2.x=15,402\)
\(2.x=84,6-15,402\)
\(2.x=69,198\)
\(x=69,198:2\)
\(x=34,599\)
_____
8. \(x\times5=120:6\)
\(x.5=20\)
\(x=20:5\)
\(x=4\)
_____
9. \(\left(15\times24-x\right):0,25=100:0,25\)
\(\left(15.24-x\right):0,25=400\)
\(15.24-x=400.0,25\)
\(15.24-x=100\)
\(360-x=100\)
\(x=360-100\)
\(x=260\)
1,x-8+32=68
=>x-8=68-32=36
=>x=36+8=42
2,x+8+32=68
=>x+8=68-32=36
=>x=36-8=28
3,98-x+34=43
=>98-x=43-34=9
=>x=98-9=89
4,98+x-34=43
=>98+x=43+34=77
=>x=77-98=-21
5,x:5:4=800
=>x:20=800
=>x=800x20=16000
6,18+x=384:8=48
=>x=48-18=30
7,(84,6-2x):3,02=5,1
=>84,6-2x=5,1x3,02=15,402
=>2x=84,6-15,402=69,198
=>x=69,198:2=34,599
8,5x=120:6=20
=>x=20:5=4
9,(15x24-x):0,25=100:0,25=400
=>360-x=400x0,25=100
=>x=360-100=260.
d) Ta có: \(32\%-0.25:x=-\dfrac{17}{5}\)
\(\Leftrightarrow0.25:x=\dfrac{8}{25}+\dfrac{17}{5}=\dfrac{93}{25}\)
hay \(x=\dfrac{25}{372}\)
Vậy: \(x=\dfrac{25}{372}\)
e) Ta có: \(\left(x+\dfrac{1}{5}\right)^2+\dfrac{17}{25}=\dfrac{26}{25}\)
\(\Leftrightarrow\left(x+\dfrac{1}{5}\right)^2=\dfrac{9}{25}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{1}{5}=\dfrac{3}{5}\\x+\dfrac{1}{5}=-\dfrac{3}{5}\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{2}{5}\\x=-\dfrac{4}{5}\end{matrix}\right.\)
Vậy: \(x\in\left\{\dfrac{2}{5};-\dfrac{4}{5}\right\}\)
f) Ta có: \(-\dfrac{32}{27}-\left(3x-\dfrac{7}{9}\right)^3=-\dfrac{24}{27}\)
\(\Leftrightarrow\left(3x-\dfrac{7}{9}\right)^3=\dfrac{-8}{27}\)
\(\Leftrightarrow3x-\dfrac{7}{9}=-\dfrac{2}{3}\)
\(\Leftrightarrow3x=\dfrac{1}{9}\)
hay \(x=\dfrac{1}{27}\)
g) Ta có: \(60\%\cdot x+0.4x+x:3=2\)
\(\Leftrightarrow\dfrac{4}{3}x=2\)
hay \(x=\dfrac{3}{2}\)
Vậy: \(x=\dfrac{3}{2}\)
h) PT \(\Leftrightarrow\left|\dfrac{20}{9}-x\right|=\dfrac{2}{9}\) \(\Rightarrow\left[{}\begin{matrix}\dfrac{20}{9}-x=\dfrac{2}{9}\\x-\dfrac{20}{9}=\dfrac{2}{9}\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=2\\x=\dfrac{22}{9}\end{matrix}\right.\)
Vậy ...
i) PT \(\Leftrightarrow\dfrac{8}{5}+\dfrac{2}{5}x=\dfrac{16}{5}\) \(\Leftrightarrow\dfrac{2}{5}x=\dfrac{8}{5}\) \(\Leftrightarrow x=4\)
Vậy ...
3/2+5/4+9/8/+17/16+33/32-6+x-1/x+1=31/32-2/2015
=(1+1/2)+(1+1/4)+(1+1/8)+(1+1/16)+(1+1/32-6+x-1/x+1=31/32-2/2015
=(1/2+1/4+1/8+1/16+1/32)+(1+1+1+1+1)-6+x-1/x+1=31/32-2/2015
=31/32+5-6+x-1/x+1=31/32-2/2015
=5-6+x-1/x+1=31/32-2/2015-31/32
=-1+x-1/x+1=-2/2015
=x-1/x+1=-2/2015- -1
=x-1/x+1=2013/2015
=>x=2014