\(\frac{3}{x^2+x-2}-\frac{1}{x-1}=\frac{-7}{x+2}\)
<=> \(\frac{3}{\left(x-1\right)\left(x+2\right)}-\frac{1}{x-1}=\frac{-7}{x+2}\)
<=> \(\frac{3}{\left(x-1\right)\left(x+2\right)}-\frac{x+2}{\left(x-1\right)\cdot\left(x+2\right)}=\frac{-7.\left(x-1\right)}{\left(x+2\right)\left(x-1\right)}\)
=> \(3-x-2=-7x+7\)
<=> \(3-2-7=x-7x\)
<=> \(-6=-6x\)
<=> \(x=1\)
Vậy phương trình có nghiệm x = 1
Bài 1. Giải các phương trình sau bằng cách đưa về dạng ax + b = 0:
1. a) 5 – (x – 6) = 4(3 – 2x) b) 2x(x + 2)2 – 8x2 = 2(x – 2)(x2 + 2x + 4)
c) 7 – (2x + 4) = – (x + 4) d) (x – 2)3 + (3x – 1)(3x + 1) = (x + 1)3
e) (x + 1)(2x – 3) = (2x – 1)(x + 5) f) (x – 1)3 – x(x + 1)2 = 5x(2 – x) – 11(x + 2)
g) (x – 1) – (2x – 1) = 9 – x h) (x – 3)(x + 4) – 2(3x – 2) = (x – 4)2
i) x(x + 3)2 – 3x = (x + 2)3 + 1 j) (x + 1)(x2 – x + 1) – 2x = x(x + 1)(x – 1)
2. a) 
b) 
c) 
d) 
e) 
f) 
g) 
h) 
i) 
k) 
m) 
n) 
Giải pt: 4/x^2+2x-3=2x-5/x+3-2x/x-1
giải pt sau: (x2 -1) (x2 +4x+3) =192
3(5x-1)-x(x-2)+x2-13x=7
Phân tích các đa thức sau thành nhân tử :
a) 3x2 – 7x + 2;
b) a(x2 + 1) – x(a2 + 1).;
c)(x+2)(x+3)(x+4)(x+5)-24;
d)(a+1)(a+3)(a+5)(a+7)+15;
e)x2 + 2xy + 7x + 7y + y2 + 10
(x2 là x bình,y 2 là y bình,a2 là a bình nha)
Giúp mình với:33
Giải pt : a) 2/-x2+6x-8 - x-1/x-2 = x+3/x-4
b) 2/x3-x2-x+1 = 3/1-x2 - 1/x+1
c) x+2/x-2 - 2/x2-2x = 1/x
d) 5/-x2+5x-6 + x+3/2-x = 0
e) x/2x+2 - 2x/x2-2x-3 = x/6-2x
f) 1/x-1 - 3x2/x3-1 = 2x/x2+x-1
Giải phương trình
a) (x-2)2=(x-4)(x+4)
b) x+2/x=(x+1)(x+4)/x2+2x+x/x+2
c) x+2/8-2x+5/12>x+6/9-x-3/6
Giải pt sau: \(10\left(x+\dfrac{1}{x}\right)^2+5\left(x^2+\dfrac{1}{x^2}\right)^2-5\left(x^2+\dfrac{1}{x^2}\right)\left(x+\dfrac{1}{x}\right)^2=\left(x-5\right)^2-5\)
Chủ đề 1: Thực hiện phép tính
1) (2x+3).(2x-3)-4x.(x+5)
2) 6/x2 - 9 + 5/x-3 + 1/x+3
3)5x.(x-3)+(x-2)2
4) 4x/x+2 - 3x/x-2 + 12x/ x2 - 4
5) x(x+2) - ( x-3)(x+3)
6) 1/3x-2 + -4/3+2 + 6-3x/9x2 - 4
7)2x.(3x-1)+(x+2)2
8) 6/x+3 - 6/x-3 + 9x+9/x2 - 9
9) (2x - 5)2 - x(4x-13)
10) x-1/x + 4/x+8 + 8/x2 + 8x
11) (2x+1)2 + (x-5)(x+5)-x(5x+7)
12) 6/x2-9 + 5/x-3 + 1/x+3
13) 6x(5x-2)+(2x+3)2
14) x/x-2 + -2/x-3 + x(1-x)/x2-9
15) (x-2)2-x(x+5)
16) 2/x+3 + 3/x-3 + -6/x2-9
17) 3x(x-3) + (3x-1)2
