\(x^3-x^2+x-1=x^2\left(x-1\right)+\left(x-1\right)\)
\(=\left(x-1\right)\left(x^2+1\right)\)
\(x^3 - x^2 + x - 1\)
\(=(x^3-x^2 )+(x-1)\)
\(= x^2(x-1)+(x-1)\)
\(= (x^2+1)(x-1)\)
a, (3x+2)2 - (3x-2)2 =5x+38 b, 3(x-2)2 +9(x-1) =3(x2+x-3)
c, (x+3)3 -(x-3)2 -(x-3)2 =6x+18 d, (x-1)3-x(x+1)2=5x(2-x)-11(x+2)
e, (x+1)(x2-x+1)-2x=x(x-1)(x+1) f, (x-2)3+(3x-1)(3x+1)=(x+1)3
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
. Tìm x biết rằng:
a)(x + 1)3 – (x + 2)(x – 1)2 – 3(x – 3)(x + 3) = 5
b)(x + 1)3 + (x – 1)3 = (x + 2)3 + (x – 2)3
c) (x + 1)3 - (x - 1)3 - 6(x - 1)2 = -10
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
Tìm x :
a) x (3x + 1) + (x -1)2 - (2x + 1)(2x -1) = 0
b) (x + 1)3 + (2 - x)3 - 9(x - 3)(x+3) = 0
c) (x - 1)3 - (x + 3)(x2 - 3x + 9) + 3x2 = 25
d) (x + 2)3 - ( x +1)(x2 - x + 1) - 6(x - 1)2 = 23
e) (x + 3)(x2 - 3x + 9) - x(x - 2)(x+2) + 11 = 0
f) x(x - 3) - x + 3 = 0
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
Giải phương trình
a) (x+1)(2x-3)-3(x-2)=2(x-1)^2
b) 3(x-2)^2+9(x-1)=3(x^2+x-3)
c) (x-1)^3-x(x+1)^2=5x(2-x)-11(x+2)
d) (x+1)(x^2-x+1)-2x= x(x-1)(x+1)
1.giải phương trình :
1)1 + 2/x-1 + 1/x+3=x^2+2x-7/x^2+2x-3
2)x/x^2+5x+6=2/x^2+3x+2 (x=3)
3)1/x^2+9x+20 - 1/x^2+8x+12=x^2-2x-33/x^2+8x+15 (x=-5,7)
4)x+5/3x-6 - 1/2=2x-3/2x-4 (x=25/7)
5)x-1/x^3+1 + 2x+3/x^2-x+1=2x+4/x+1 - 2(x=0)
Bài 3: Giải các phương trình sau
a. (3x + 2)2 – (3x – 2)2 = 5x + 38
b. 3(x – 2)2 + 9(x – 1) = 3(x2 + x – 3)
c. (x + 3)2 – (x - 3)2 = 6x + 8
d. (x – 1)3 – x(x + 1)2 = 5x (2 – x) – 11(x + 2)
e. (x + 1)(x2 – x + 1) – 2x = x(x – 1)(x + 1)
Bài 1: rút gọn
a. ( x + 1)^2 - (x - 1)^2 - 3(x + 1)(x - 1)
b. 5(x +2)(x -2) - 1/2(6 - 8x)^2 + 17
c. (x^2 - 1)^3 - (x^4 + x^2 + 1)(x^2 - 1)
d. (x^4 - 4x^2 +9)(x^2 + 3) - (3 + x^2)^3
e. (x-3)^3 -(x - 3)(x^2 +3x + 9) + 6(x + 1)^2
Bài 2: tìm x
a. 25x^2 - 9 = 0
b. (x + 4)^2 - (x + 1) (x -1) = 16
c. (2x - 1)^2 + (x + 3)^2 - 5(x + 7)(x - 7) = 0
d. (x + 2)(x^2 - 2x + 4) - x(x^2 + 2)= 15
e. (x + 3)^3 - x(3x + 1)^2 + (2x + 1)(4x^2 - 2x + 1) = 28
g. (x^2 - 1)^3 - (x^4 + x^2 + 1)(x^2 -1) = 0
HELP ME!!!!!!!!
