Giải các phương trình sau: \( 2 + \frac{1}{x-2} = \frac{3}{x+2} \)
giúp tớ vs ccau ơi'-'
----- Nội dung ảnh -----
Bài 9. Giải các phương trình sau:
1. \( 2 + \frac{1}{x-2} = \frac{3}{x+2} \)
2. \( 4 + \frac{3}{x+3} = \frac{x-2}{x-9} \)
3. \( \frac{x}{x+1} + \frac{4}{x+1} = \frac{x^2-5}{x+5} \)
4. \( \frac{x}{x-2} - \frac{3}{x+1} = \frac{x^2-2}{x^2-16} \)
5. \( \frac{x-3}{x^2+3} = \frac{x+5}{x^2-4} \)
6. \( \frac{4x-5}{x^2-25} = \frac{9x-5}{x+5} \)
7. \( \frac{x+7}{x^2+4} = \frac{7}{x-2} \)
8. \( \frac{x^2-3}{x+3} = \frac{x^2-25}{x+5} \)
9. \( \frac{6x^2}{x^2-1} = x^2 \)
10. \( \frac{x+2}{2x^2+1} = \frac{x^2+16}{2x^2+4} \)
11. \( \frac{x^2 + 2}{2x^2 + 4} = 2 \)
12. \( \frac{x^2+1}{2x-1} = \frac{4x^2+1}{2x-4} \)
13. \( x - 3 = \frac{x-3}{2} \)
14. \( 2(x^2+12) \)
15. \( \frac{x^4-4}{x+4} = 1 \)
16. \( \frac{x^3 + 3}{x-1} = \frac{9}{x-2} \)
17. \( \frac{x^4 + 4}{x^2 - 16} \)
18. \( \frac{x^4 + 6}{x-1} = \frac{16}{x-2} \)
19. \( \frac{x^2 - 4}{x-1} = 1 \)
20. \( 2(x^2 + 12) \)
----- Nội dung ảnh -----
Bài 9. Giải các phương trình sau:
1. \( 2 + \frac{1}{x-2} = \frac{3}{x+2} \)
2. \( 4 + \frac{3}{x+3} = \frac{x-2}{x-9} \)
3. \( \frac{x}{x+1} + \frac{4}{x+1} = \frac{x^2-5}{x+5} \)
4. \( \frac{x}{x-2} - \frac{3}{x+1} = \frac{x^2-2}{x^2-16} \)
5. \( \frac{x-3}{x^2+3} = \frac{x+5}{x^2-4} \)
6. \( \frac{4x-5}{x^2-25} = \frac{9x-5}{x+5} \)
7. \( \frac{x+7}{x^2+4} = \frac{7}{x-2} \)
8. \( \frac{x^2-3}{x+3} = \frac{x^2-25}{x+5} \)
9. \( \frac{6x^2}{x^2-1} = x^2 \)
10. \( \frac{x+2}{2x^2+1} = \frac{x^2+16}{2x^2+4} \)
11. \( \frac{x^2 + 2}{2x^2 + 4} = 2 \)
12. \( \frac{x^2+1}{2x-1} = \frac{4x^2+1}{2x-4} \)
13. \( x - 3 = \frac{x-3}{2} \)
14. \( 2(x^2+12) \)
15. \( \frac{x^4-4}{x+4} = 1 \)
16. \( \frac{x^3 + 3}{x-1} = \frac{9}{x-2} \)
17. \( \frac{x^4 + 4}{x^2 - 16} \)
18. \( \frac{x^4 + 6}{x-1} = \frac{16}{x-2} \)
19. \( \frac{x^2 - 4}{x-1} = 1 \)
20. \( 2(x^2 + 12) \)