Sửa đề: \(\left(x-1\right)\left(x^2+x+1\right)-x\left(x-2\right)\left(x+2\right)=5\)
\(\Rightarrow x^3-1-x\left(x^2-4\right)=5\\ \Rightarrow x^3-1-x^3+4x=5\\ \Rightarrow4x=6\Rightarrow x=\dfrac{3}{2}\)
giải phương trình:
a) 2/x+1 - 1/x-3= 3x-11/x^2-2x-3
b) 3/x-2 +1/x=-2/x.(x-2)
c) x-3/x+3 - 2/x-3=3x+1/9-x^2
d) 2/x+1 - 1/x-2=3x-5/x^2-x-2
e) x-2/x+2 + 3/x-2=x^2-11/x^2-4
f) x+3/x+1 + x-2/x=2
g) x+5/x-5 - x-5/x+5=20/x^2-25
h) x+4/x+1 + x/x-1=2x^2/x^2-1
i) x+1/x-1 - 1/x+1=x^2+2/x^2-1
- Bài 12: Thực hiện phép tính
1) x(1 - x) + (x - 1) ^ 2 3) (x + 2) ^ 2 - (x - 3)(x + 1)
5) (x - 2) ^ 2 + (x - 1)(x + 5)
7) (1 - 2x)(5 - 3x) + (4 - x) ^ 2
9) (x + 1) ^ 2 + (x - 2)(x + 2) - 4x
11) (x + 4) ^ 2 + (x + 5)(x - 5) - 2x(x + 1)
13) (x - 1) ^ 2 - 2(x + 3)(x - 3) + 4x(x - 4)
2) (x - 3) ^ 2 - x ^ 2 + 10x - 7
4) (x + 4)(x - 2) - (x - 3) ^ 2
6) (x + 3)(x - 3) - x(23 + x)
8) (x - 2)(x + 2) - (x - 3)(x + 1)
10) (x + 2) ^ 2 - (x + 3)(x - 3) + 10
12) (x - 1) ^ 2 - (x - 4)(x + 4) + (x + 3) ^ 2
14) (y - 3)(y + 3)(y ^ 2 + 9) -(y^ 2 +2)(y
Bài1:Rút gọn
a,(4x-5)(3x+2)-(7-3x)(x+2)
b,(-2x+1)(x-5)-3(x-2)(x+1)
c,(x^2-7)(x-5)+(3x^2+5)(2x-4)
d,(x^2+3x-2)(x+4)-4x(x-5)
Bài2:Tìm xbiết
a,(x-4)(x+3)-(x+1)(x-5)=8
b,(3x-2)(x+1)-3x(x+7)=13
c,(x+5)(x-5)-x(x+2)=9
d,(x-1)(x^2+x+1)-x(x^2-3)=1
giải phương trình:
a, 2x-5/x+5=3
b, 2/x-1=6/x+1
c, 2x+1/x-1=5(x-1)/x+1
d, x/x-1 - 2x/x2-1=0
e, 1/x-2 + 3=x-3/2-x
f, x+1/x-2 + x-1/x+2= 2(x2+2)/x2-4
g, x+2/x-2 + 1/x+2=x(x-5)/x2-4
h, 1/x+1 - 5/x+2=15/(x+1)(2-x)
i, x-1/x+2 - x/x-2= 5x-2/4-x2
1.Tìm x
a) (x - 5)(x + 5) - (x + 3)^2 + 3 (x - 2)^2 = (x + 1)^2 - (x + 4)(x - 4) +3x^2
b) (2x + 3)^2 + (x - 1)(x + 1) = 5 (x + 2)^2 - (x - 5)(x + 1) + (x + 4)^2
c) (-x + 5)(x - 2) + (x - 7)(x + 7) = (3x + 1)^2 - (3x - 2)(3x + 2)
d) (5x - 1)(x + 1) - 2(x - 3)^2 = (x + 2)(3x - 1) - (x + 4)^2 + (x^2 - x)
2.Rút gọn :
a) A= 3 (x - 1)^2 - (x + 1)^2 + 2(x - 3)(x + 3) - (2x + 3)^2 - (5 - 20x)
b) B= 5x (x - 7)(x + 7) - x (2x - 1)^2 - (x^3 + 4x^2 - 246x) - 175
c) C = -2x (3x + 2)^2 + (4x + 1)^2 + 2 (x^3 + 8x + 3x - 2 ) - (5 - x)
giải các phương trình sau
1/ ( x-2)(x-5)=(x-3)(x-4)
2/ (x-7)(x+7) +x^2 -2=2(x^2+5)
3/ (x-1)^2 +(x+3)^2 =2(x-2)(x=2)
4/ (x+1)^2= (x+3)(x-2)
5/ x^2-(2x-1)(x+3)= 3-x(5+x)
6/ 3(5-2x) -4( x+2) =5x-18
a,x+5/x-1+8/x^2-4x+3=x+1/x-3 b,x-4/x-1-x^2+3/1-x^2+5/x+1=0 c,3x/4-5=3-x/2+5x-1/6 d,(x-2)(x+2)-(x-3)(x+4)-2x+3=0 e,(x-1)^2+2(x+1)=5x+5 g,(x-3)(x+4)x=0
a, [(x/x^2-25) - (x-5/X^2+5x)] : (2x-5/x^2+5x) + ( x/ 5-x)
b, [(9/x^3-9x) + (1/x+3)] : [(x-3/x^2+ 3x) - ( x/3x+9)]
c, (1/x-1) - (x^3-x/x^2+1) . [(x/x^2+1-2x) + (1/1-x^2)]
Giải phương trình chứa ẩn ở mẫu:
a. (x+1)/(x-2) - (x-1)(x+2) = 2(x2 + 2)/(x2 - 4)
b. (2x+1)/(x-1) = 5(x-1)/(x+1)
c. (x-1)/(x+2) - (x)/(x-2) = (5x-2)/(4 - x2)
d. (x-2)/(2+x)-(3)/(x-2)= 2(x-11)/(x2 - 2)
e. (x-1)/(x+1)-(x2 + x - 2)/(x+1)= (x+1)/(x-1) - x - 2
f. (x+1)/(x-1)-(x-1)/(x+1)=(4)/(x2 - 1)
g. (3)/4(x-5) + (15)/(50-2x2)= - (7)/6(x+5)
h. (12)/(8+x3)= 1 + (1)/(x+2)
k. (x+25)/(2x2 - 50)-(x+5)(x2 - 5x)= (5-x)(2x2 + 10x)
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)
