Giải các phương trình sau
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**Bài 5: Giải các phương trình sau:**
1) \((1+x^2)^2-(x-1)^2 = 0\)
2) \((3x+1)^2-(2x+3)^2 = 0\)
3) \((5x-4)^2-(3x-2)^2 = 0\)
4) \((x-2)^2=(3x+5)^2\)
5) \((x-3)^2=(3x-2)^2\)
6) \((2x+7)^2=(x+3)^2\)
7) \((6x-6)^2=(6+4x)^2\)
8) \((13x-7)^2=(3x-4)^2\)
**Bài 6: Giải các phương trình sau:**
1) \(\frac{x+2}{x-2} = \frac{5}{x^2 - 2x}\)
2) \(\frac{x-1}{x+1} = \frac{2x+1}{x^2+x}\)
3) \(\frac{x-7}{x} = \frac{49}{x(x-7)}\)
4) \(\frac{3}{x-7} = \frac{x^2 - 2x - 3}{x+3}\)
5) \(5+x = \frac{x-2}{3x-6}\)
6) \(\frac{x^2 - 2}{x+3} = \frac{1}{2x-2}\)
7) \(\frac{x+2}{x-2} = \frac{8}{x^2 - 2x}\)
8) \(\frac{2}{x+1} = \frac{1}{3+x}\)
9) \(\frac{3}{x+3} = \frac{1}{2x+6}\)
10) \(\frac{7}{2x-3} - \frac{1}{2x-2} = \frac{1}{x-1}\)
11) \(\frac{5}{x^2 - 2x} = \frac{1}{x-1}\)
12) \(\frac{1}{2x-1} - \frac{1}{12x-8} = \frac{3}{x-2}\)
**Bài 5: Giải các phương trình sau:**
1) \((1+x^2)^2-(x-1)^2 = 0\)
2) \((3x+1)^2-(2x+3)^2 = 0\)
3) \((5x-4)^2-(3x-2)^2 = 0\)
4) \((x-2)^2=(3x+5)^2\)
5) \((x-3)^2=(3x-2)^2\)
6) \((2x+7)^2=(x+3)^2\)
7) \((6x-6)^2=(6+4x)^2\)
8) \((13x-7)^2=(3x-4)^2\)
**Bài 6: Giải các phương trình sau:**
1) \(\frac{x+2}{x-2} = \frac{5}{x^2 - 2x}\)
2) \(\frac{x-1}{x+1} = \frac{2x+1}{x^2+x}\)
3) \(\frac{x-7}{x} = \frac{49}{x(x-7)}\)
4) \(\frac{3}{x-7} = \frac{x^2 - 2x - 3}{x+3}\)
5) \(5+x = \frac{x-2}{3x-6}\)
6) \(\frac{x^2 - 2}{x+3} = \frac{1}{2x-2}\)
7) \(\frac{x+2}{x-2} = \frac{8}{x^2 - 2x}\)
8) \(\frac{2}{x+1} = \frac{1}{3+x}\)
9) \(\frac{3}{x+3} = \frac{1}{2x+6}\)
10) \(\frac{7}{2x-3} - \frac{1}{2x-2} = \frac{1}{x-1}\)
11) \(\frac{5}{x^2 - 2x} = \frac{1}{x-1}\)
12) \(\frac{1}{2x-1} - \frac{1}{12x-8} = \frac{3}{x-2}\)