3/(x+2).(x+3) + 5/(x+5).(x+10) + 7/(x+10).(x+17) = x/(x+2).(x+17)
Những câu hỏi liên quan
3/(x+2)(x+5)+5/(x+5)(x+10)+7/(x+10)(x+17)=x/(x+2)(x+17)
\(\frac{3}{\left(x+2\right)\left(x+5\right)}+\frac{5}{\left(x+5\right)\left(x+10\right)}+\frac{7}{\left(x+10\right)\left(x+17\right)}=\frac{x}{\left(x+2\right)\left(x+17\right)}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+5}+\frac{1}{x+5}-\frac{1}{x+10}+\frac{1}{x+10}-\frac{1}{x+17}=\frac{x}{\left(x+2\right)\left(x+17\right)}\)
\(\Leftrightarrow\frac{1}{x+2}-\frac{1}{x+17}=\frac{x}{\left(x+2\right)\left(x+17\right)}\)
\(\Leftrightarrow\frac{x+17-x-2}{\left(x+2\right)\left(x+17\right)}=\frac{x}{\left(x+2\right)\left(x+17\right)}\)
\(\Leftrightarrow\frac{15}{\left(x+2\right)\left(x+17\right)}=\frac{x}{\left(x+2\right)\left(x+17\right)}\)
<=> x = 15
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3/((x+2)(x+5))+5/((x+5)(x+10))+7/((x+10)(x+17))=x/((x+2)(x+17))
tim x biet
3/(x+2).(x+5) + 5/(x+5).(x+10) + 7/(x+10).(x+17) = x/(x+2).(x+17)
Với x thuộc tập hợp A = -2;-5;-10;-17
Tìm x:
3/(x+2).(x+3) + 5/(x+5).(x+10) + 7/(x+10).(x+17) = x/(x+2).(x+17)
3/(x+2)(x+5)+5/(x+10)(x+17)+7/(x+10)(x+17)=x/(x+2)(x+17)
tìm x biết
bài 5 :tìm x, y thuộc Z biết: 1) -x=-7
2) -x=17. 3) |x| =17. 4) -(-x)=|-17| 5) -19-x=17. 6)-19-x=-17. 7) -5-(10-x)=7. 8)|x+3|+7= 12. 9) 2-|x-2| =x. 10)\(^{ }\left(X-2^{ }\right)^2\) = \(^{ }\left(x-2\right)^6\) 11) x.y + x+y =9. 12) 5.xy + x+y =3
( Mik làm mấy phần mà bạn dưới chưa làm)
11) xy+x+y=9
\(\Leftrightarrow\) xy+x+y+1=9+1
\(\Leftrightarrow\left(xy+x\right)+\left(y+1\right)\)=10
\(\Leftrightarrow x\left(y+1\right)+\left(y+1\right)=10\)
\(\Leftrightarrow\) (x+1)(y+1)=10=1.10=10.1=-1.-10=-10.-1=2.5=5.2=-2.-5=-5.-2
\(\Rightarrow\) TH1: x+1=1 ; y+1=10
\(\Leftrightarrow x=0;y=9\)
TH2: x+1=10;y+1=1
\(\Leftrightarrow\)x=9;y=0
TH3: x+1=-1;y+1=-10
\(\Leftrightarrow\) x=-2;y=-11
...........
Vậy:........
( Bạn tự làm nốt chứ dài quá, mik chỉ hướng dẫn cách làm bài thôi)
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1) -x = -7
=> x = 7
2) - x = 17
=> x = - 17
3) |x| = 17
=> x = ±17
4) -(-x) = |-17|
=> x = 17
5) - 19 - x = 17
=> - x = 17 + 19
=> x = - 36
6) - 19 - x = - 17
=> - x = - 17 + 19
=> -x = 2
=> x = - 2
7) - 5 - (10 - x) = 7
=> - 5 - 10 + x = 7
=> - 15 + x = 7
=> x = 7 + 15
=> x = 22
8) |x + 3| + 7 = 12
=> |x + 3| = 12 - 7
=> |x + 3| = 5
=> x + 3 = 5 hoặc x + 3 =- 5
=> x = 2 hoặc x = - 8
9) 2 - |x - 2| = x
=> - |x - 2| - x = - 2
TH1: x >= 2
- (x - 2) - x = - 2
=> - x + 2 - x =- 2
=> - 2x = - 4
=> x = 2 (nhận)
TH2: x < 2
-[-(x - 2)] - x = - 2
=> x - 2 - x = - 2
=> 0x = 0 (vô số nghiệm)
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3/(x+2)(x+5) + 5/(x+5)(x+10) + 7/(x+10)(x+17) = x/(x+2)(x+17)
Tìm x, biết:
a) 3/(x+2)(x+5) + 5/(x+5)(x+10) + 7/ (x+10)(x+7) = x/(x+2)(x+17) với x thuộc {-2,-5,-10,-17}
b) 2/(x-1)(x-3 + 5/(x-3)(x-8) + 12/(x-8)(x-20) -1/x-20 =-3/4 với x thuộc {1,3,8,,20}
[1/(x+2)-1/(x+5)]+[1/(x+5)-1/(x+10)]+[1/(x+10)-1/(x+17)]=x/15.[1/(x+2)-1/(x+17)]
1/(x+2)-1/(x+17)=x/15.[1/(x+2)-1/(x+17)]
1=x/15
x=15
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Tìm x,biết:
a,3 / (x+2).(x+5) + 5 / (x+5).(x+10) + 7 / (x+10) . (x+17)= x / (x+2).(x+17)
x∉{-2 ; -5 ;-10 ; -17}
b,2 / (x-1). (x-3)+5 / (x-3).(x-8)+12 / (x-8).(x-20)-1 / x-20=-3/4
x∉{1;3;8;20}
c,x-1/2009 + x-2/2008 = x-3/2007 + x-4 / 2006
720 : ( x . 2 + x . 3 ) = 3.2
720 : ( x . 2 + x.3 ) = 6
( x .2 + x.3 ) = 720 : 6
x.2+x.3 = 120
x . ( 2 + 3 ) = 120
x . 5 = 120
x = 120 : 5
x = 24