\(\left(x+1\right)\left(x^2-x+1\right)=x\left(x-1\right)\left(x+1\right)\)
\(x^3-x^2+x+x^2-x+1=x^3-x\)
\(x^3+1=x^3-x\)
\(x^3+1-x^3+x=0\)
\(1+x=0\)
\(x=-1\)
(x+1)(x2-x+1)=x(x-1)(x+1)
⇔x3+1=x(x2-1)
⇔x3+1=x3-x
⇔x=-1
Vậy tập nghiệm của phương trình đã cho là:S={-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)33+11
j)(x+1)(x2-x+1)-2x=x(x+1)(x-1)
Giải phương trình về dạng ax + b = 0
1. (3x - 2)/3 - 2 = (4x + 1)/4
2. (x - 3)/4 + ( 2x - 1 )/3 = (2 - x)/6
3. 1/2 (x + 1) + 1/4(x + 3) = 3 - 1/3 (x + 2)
4 (x + 4)/5 - x + 4 = x/3 - (x - 2)/2
5. (4 - 5x)/6 = 2 (-x + 1)/2
Giải phương trình về dạng ax + b = 0
1. (3x - 2)/3 - 2 = (4x + 1)/4
2. (x - 3)/4 + ( 2x - 1 )/3 = (2 - x)/6
3. 1/2 (x + 1) + 1/4(x + 3) = 3 - 1/3 (x + 2)
4 (x + 4)/5 - x + 4 = x/3 - (x - 2)/2
5. (4 - 5x)/6 = 2 (-x + 1)/2
BT: giải các pt sau
1. \(\frac{x+1}{2013}+\frac{x+2}{2012}=\frac{x+3}{2011}+\frac{x+4}{2010}\)
2. \(\frac{3x+2}{4}+\frac{x+3}{2}=\frac{x-1}{3}-\frac{-x-1}{12}\)
3.\(\frac{x+1}{x-1}-\frac{x-1}{x+1}+\frac{x^2+3}{1-x^2}=0\)
4. \(\frac{1}{x+2}-\frac{3x}{x-2}=\frac{16}{x^2-4}\)
Câu 1: Giải các phương trình sau:
a) 3x-2(x-3)=0
b) (x+1) (2x-3) = ( 2x -1) (x +5)
c) 2x/ x-1 -x/x+1 =1
d) (2x +3) (3x-5)=0
e) x-2/x+2-3/x-2 = 2(x-11)/ x2
giúp mình với ạ huhu\(^{ }\)
Giải phương trình sau:
a,x+1/x=x^2+1/x^2
b,1/x+2=((1/x)+2)(x^2+2)
(x+1)(x2-x+1)-2x=x(x+1)(x-1)
a.(x+5)(2x-1)=(2x-3)(x+1)
b.(x+1)(x+9)=(x+3)(x+5)
c.(3x+5)(2x+1)=(6x-2)(x-3)
d.(x-2)(3x+5)=(2x-4)(x+1)
đ.9x2 -1=(3x+1)(2x-3)
e.(2x+5)(x-4)=(x-5)(4-x)
Bài 1 : Giải các phương trình sau :
1) (x – 2)(x – 5) = (x – 3)(x – 4)
2) ( 6x + 2)(x – 2) = 2x(3x – 5)
3) (x – 2) 2 = (x – 3)(x + 2)
4) (x–1)(x +3) – (x+2)(x–3) = 0
5) (x–2)(x –5) – (x–3)(x–4) = 0
6) (3x – 2)(4x + 3) = 2x(6x – 1)
7) 4x 2 – (2x + 1)(2x – 1) = 0
8) (4x–5)(x+3) = (2x – 3)(7+2x)
9) (x + 3)(x – 2) = (x + 1) 2
10) (x+7)(x–7) + x 2 – 2 = 2(x 2 +5)
11) (x–1) 2 + (x+3) 2 = 2(x– 2)(x+2)
12) (x – 5) 2 = (x + 3) 2 + 2
13) (3x + 2) 2 – (3x – 2) 2 = 5x + 38
