\(\Leftrightarrow\dfrac{x-1}{x^2-x+1}-\dfrac{x+1}{x^2+x+1}=\dfrac{10}{x\left(x^2+x+1\right)\left(x^2-x+1\right)}\)
\(\Leftrightarrow x\left(x-1\right)\left(x^2+x+1\right)-x\left(x+1\right)\left(x^2-x+1\right)=10\)
\(\Leftrightarrow x\left(x^3-1\right)-x\left(x^3+1\right)=10\)
=>-2x=10
hay x=-5
giải phương trình:
a/x-1/x^2-x+1 - x+/x^2+x+1 = 10/x(x^4+x^2+1)
b/ x+9/10 + x+10/9 = 9/x+10 + 10/x+9
c/ x^2-2x+2/x-1 + x^2-8x+20 = x^2-4x+6/x-2 + x^2-6x +12/x-3
x^2/3+48/x^2-10(x/3-4/x)=0
10(x-2/x+1)^2+(x+2/x-1)^2-11(x^2-4/x-1)=0
Tính (rút gọn )
(x-10)^2-2(x-10)(5x-3)+(5x+3)
(x-2)^3-x(x-3)^2
(x-2)(x^2+2x+4)-x(x+1)(x-1)
(x+3)(x^2-3x+9)-x(x^2-1)
Rút gọn
a) (x+2) .( x+3) - (x-2) .(x+5)
b) (8-5x).(x+2)+4(x-2).(x+1)+2.(x-2).(x+2)+10
c) 4.(x-1).(x+5)-(x+2)(x+5)-3.(x-1).(x+2)
d) (x-1).(x^5 + x^4 + x^3 + x^2 + x + 1)
Rút gọn:
a. .2x2 + 3(x-1)(x+1) - 5x(x+1)
b. (8-5x)(x+2)+4(x-2)(x+1)+2(x-2)(x+2)+10
c. 4(x-1)(x+5)-(x+2)(x+5)-3(x-1)(x+2)
1.giải các phương trình sau:
a, 3(2x+1)/4 - 5x+3/6 = 2x-1/3 - 3-x/4
b, 19/4 - 2(3x-5)/5 = 3-2x/10 - 3x-1/4
c, x-2*3/2+3 + x-3*5/3+5 + x-5*2/5+2 = 10
d, x-3/5*7 + x-5/3*7 + x-7/3*5 = 2(1/3 + 1/5 + 1/7)
2. giải các phương trình:
a, x-1/9 + x-2/8 = x-3/7 + x-4/6
b, (1/1*2 + 1/2*3 + 1/3*4 + ... + 1/9*10) (x-1) + 1/10x = x- 9/10
thực hiện phép tính :
a)2x^2+3(x-1)(x+1)-5x(x+1)
b) (8-5x)(x+2)+4(x-2)(x+1)+2(x-2)(x+2)+10
c) 4(x-1)(x+5)-(x+2)(x+5)-3(x-1)(x+2)
Giải phương trình:
A) 1-x/x+1 +3 = 2x+3/x+1
B) (x+2)^2/2x-3 -1 = x^2-10/2x-3
C) 5x-2/2-2x + 2x-1/2 = 1 + x^2+x-3/x-1
D) 5-2x/3 - (x-1)(x+1)/1-3x = (x+2)(1-3x)/9x-3
E) x-3/x-2 + x-2/x-4 = -1
F) 1 + x/3-x = 5/(x+2)(3-x) + 2/x+2
G) x+1/x-1 - x-1/x+1 = 3x( 1 - x-1/x+1 )
H) 1-6x/x-2 + 9x-4/x+2 = x(3x-2)+1/x^2-4
I) 3x-1/x-1 - 2x+5/x+3 + 4/x^2+2x-3 = 1
Bài 4:Tìm x, biết:
1/ (x-1)(x^2+x+1)-x^3-6x=11
2/ 16x^2-(3x-4)^2=0
3/ x^3-x^2+3-3x=0
4/ x-1/x+2=x+2/x+1
5/1/x+2/x+1=0
6/ 9-x^2/x : (x-3)=1
