x 4
___= ___ va x>y
8 y
ai giup dc ko aj
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mn giup mik bai 3 nay dc ko aj
TM
18 tháng 7 2023
\(D=\dfrac{x^2}{x^2-1}+\dfrac{1}{x^2-x^4}=\dfrac{x^4}{x^2\left(x^2-1\right)}-\dfrac{1}{x^2\left(x^2-1\right)}=\dfrac{x^4-1}{x^2\left(x^2-1\right)}=\dfrac{\left(x^2-1\right)\left(x^2+1\right)}{x^2\left(x^2-1\right)}=\dfrac{x^2+1}{x^2}=1+\dfrac{1}{x^2}\)
do \(x\ne0,\pm1\Rightarrow\dfrac{1}{x^2}>0\Rightarrow1+\dfrac{1}{x^2}>1\Rightarrow D>1\left(đpcm\right)\)
O
18 tháng 7 2023
\(D=\dfrac{x^2}{x^2-1}+\dfrac{1}{x^2-x^4}\\ =\dfrac{x^4\left(1-x\right)}{\left(x-1\right)\left(x+1\right)\left(1-x\right)x^2}+\dfrac{x-1}{x^2\left(1-x\right)\left(1+x\right)\left(x-1\right)}\\ =\dfrac{x^4-x^5+x-1}{x^2\left(1-x\right)\left(1+x\right)\left(x-1\right)}\\ =\dfrac{-\left(x-1\right)^2\left(x^2+1\right)\left(x+1\right)}{-x^2\left(x-1\right)^2\left(x+1\right)}\\ =\dfrac{x^2+1}{x^2}>1\left(đpcm\right)\)
(x2 + 1 luôn lớn hơn x2)
19 tháng 8 2023
2:
1: =7x(x-y)-5(x-y)
=(x-y)(7x-5)
2: =(x^2-y^2)-(4x-4y)
=(x-y)(x+y)-4(x-y)
=(x-y)(x+y-4)
3: =(x^2+2xy+y^2)-(2x+2y)+1
=(x+y)^2-2(x+y)+1
=(x+y-1)^2
TM
25 tháng 8 2023
Bài 1. (a) Điều kiện: \(x\ne\pm1\).
Ta có: \(A=\left(\dfrac{x-2}{x-1}-\dfrac{x+3}{x+1}+\dfrac{3}{x-1}\right):\left(1-\dfrac{x+3}{x+1}\right)\)
\(=\left(\dfrac{x-2+3}{x-1}-\dfrac{x+3}{x+1}\right):\dfrac{x+1-\left(x+3\right)}{x+1}\)
\(=\left(\dfrac{x+1}{x-1}-\dfrac{x+3}{x+1}\right):\dfrac{x+1-x-3}{x+1}\)
\(=\dfrac{\left(x+1\right)^2-\left(x+3\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)}:\dfrac{-2}{x+1}\)
\(=\dfrac{x^2+2x+1-x^2-2x+3}{\left(x-1\right)\left(x+1\right)}\cdot\dfrac{x+1}{-2}\)
\(=\dfrac{4}{\left(x-1\right)\left(x+1\right)}\cdot\dfrac{x+1}{-2}=\dfrac{2}{1-x}\)
Vậy: \(A=\dfrac{2}{1-x}\)
(b) \(A=3\Leftrightarrow\dfrac{2}{1-x}=3\)
\(\Rightarrow1-x=\dfrac{2}{3}\Leftrightarrow x=\dfrac{1}{3}\left(TM\right)\)
Vậy: \(x=\dfrac{1}{3}\)
Bài 2. (a) Phương trình tương đương với:
\(\dfrac{3\left(3x-2\right)}{12}+\dfrac{6\left(x+3\right)}{12}=\dfrac{4\left(x-1\right)}{12}+\dfrac{x+1}{12}\)
\(\Rightarrow3\left(3x-2\right)+6\left(x+3\right)=4\left(x-1\right)+x+1\)
\(\Leftrightarrow9x-6+6x+18=4x-4+x+1\)
\(\Leftrightarrow10x=-15\Leftrightarrow x=-\dfrac{3}{2}\)
Vậy: Phương trình có tập nghiệm \(S=\left\{-\dfrac{3}{2}\right\}\).
(b) Điều kiện: \(x\ne\pm1\). Phương trình tương đương với:
\(\dfrac{2\left(x+1\right)}{\left(x-1\right)\left(x+1\right)}+\dfrac{2\left(x-1\right)}{\left(x+1\right)\left(x-1\right)}=\dfrac{2x^2+2}{\left(x+1\right)\left(x-1\right)}\)
\(\Rightarrow2\left(x+1\right)+2\left(x-1\right)=2x^2+2\)
\(\Leftrightarrow2x+2+2x-2=2x^2+2\)
\(\Leftrightarrow2x^2-4x+2=0\Leftrightarrow2\left(x^2-2x+1\right)=0\)
\(\Leftrightarrow2\left(x-1\right)^2=0\Rightarrow x-1=0\Leftrightarrow x=1\left(KTM\right)\)
Vậy: Phương trình có tập nghiệm \(S=\varnothing\)
19 tháng 8 2023
3:
1: =>15x-9x+6=45-10x+25
=>6x+6=-10x+70
=>16x=64
=>x=4
2: =>x^2+4x-16-16=0
=>x^2+4x-32=0
=>(x+8)(x-4)=0
=>x=4 hoặc x=-8
3: ĐKXĐ: x<>4; x<>-4
\(PT\Leftrightarrow\dfrac{x+4+\left(x+2\right)\left(x-4\right)}{\left(x-4\right)\left(x+4\right)}=\dfrac{5x-4}{\left(x-4\right)\left(x+4\right)}\)
=>x+4+x^2-2x-8=5x-4
=>x^2-x-4=5x-4
=>x^2-6x=0
=>x(x-6)=0
=>x=0 hoặc x=6
4: \(\Leftrightarrow5\left(4x+1\right)-x+2>=3\left(2x-3\right)\)
=>20x+5-x+2>=6x-9
=>19x+7>=6x-9
=>13x>=-16
=>x>=-16/13
22 tháng 12 2021
\(\Leftrightarrow\left(x+2\right)\left(x-4\right)=0\)
=>x=-2 hoặc x=4
8 tháng 11 2021
Tham khảo!
It's a truth that in love and war,
World's collide and hearts get broken,
I want to live like I know I'm dying,
Take up my cross, not be afraid
[Chorus]
Is it true what they say, that words are weapons?
And if it is,then everybody best stop steppin',
Cause I got ten in my pocket that'll bend ya locket,
I'm tired of all these rockers sayin' come with me,
Wait, it's just about to break, its more than I can take,
Everything's about to change,
I feel it in my veins, its not going away,
Everything's about to change.
It creeps in like a thief in the night,
Without a sign, without a warning,
But we are ready and prepared to fight,
Raise up your swords, don't be afraid,
[Chorus]
This is a warning, like it or not,
I break down, like a record spinning,
Gotta get up,
So back off,
This is a warning, like it or not,
I'm tired of listenin', I'm warning you, don't try to get up,
There's a war going on inside of me tonight (don't be afraid) [x2]
Wait, it's just about to break, its more than I can take,
Everything's about to change,
I feel it in my veins, its not going away,
Everything's about to change,
It's just about to break, its more than I can take,
Everything's about to change,
I feel it in my veins, its not going away,
Everything's about to change.
28 tháng 8 2015
3x - 1 + 3x -2 = 36
=>3x-2.(31+1)=36
=>3x-2.4=36
=>3x-2=9
=>3x-2=32
=>x-2=2
=>x=2+2
=>x=4
27 tháng 12 2015
Các pt p.ư xảy ra theo thứ tự sau:
Mg + 2AgNO3 ---> Mg(NO3)2 + 2Ag (1)
Fe + 2AgNO3 --> Fe(NO3)2 + 2Ag (2)
Fe + Cu(NO3)2 --> Fe(NO3)2 + Cu (3)
Dung dịch A gồm Mg(NO3)2 (0,15 mol), Fe(NO3)2 (0,1 mol) và Cu(NO3)2 (x mol) dư. Chất rắn B gồm Ag, Cu
Mg(NO3)2 + 2NaOH ---> Mg(OH)2 + 2NaNO3 (4)
Fe(NO3)2 + 2NaOH ---> Fe(OH)2 + 2NaNO3 (5)
Cu(NO3)2 + 2NaOH ---> Cu(OH)2 + 2NaNO3 (6)
Mg(OH)2 ---> MgO + H2O (7)
0,15 0,15 mol
Fe(OH)2 ---> FeO + H2O (8)
0,1 0,1
Cu(OH)2 ---> CuO + H2O (9)
0,06 0,06 mol
Số mol Mg = 3,6/24 = 0,15 mol; số mol Fe = 5,6/56 = 0,1 mol.
Số mol CuO = (18 - 40.0,15 - 72.0,1):80 = 0,06 mol = x (mol). Vì vậy, số mol Cu(NO3)2 đã phản ứng = a - 0,06 mol. Theo đề bài số mol Cu(NO3)2 = số mol AgNO3 = a (mol). Theo pt (1), (2) và (3) ta có:
Số mol Mg + Fe = a/2 + a - 0,06 = 0,25. Suy ra: a = 0,2067 mol.
Như vậy, m = 108.0,2067 + 64.(a-0,06) = 31,7 gam.
x/8=4/y
=>xy=32
mà x>y
nên (x,y) thuộc {(32;1); (16;2); (8;4); (-4;-8); (-2;-16); (-1;-32)}