Bài tập biến đổi tương đương
Bài 1:
1. $\sqrt{x^{2}-3x+2}=2x-1$ 2. $\sqrt{3x^{2}-9x+1}=x-2$
3. $\sqrt{x^{2}-4x+6}=x+4$ 4. $\sqrt{x^{2}+2x+4}=\sqrt{2-x}$
5. $\sqrt{3x^{2}-9x+1}=|x-2|$ 6. $x-\sqrt{2x+3}=0$
7.$x^2+\sqrt{x+1}=1$
Bài 2:
1. $\sqrt{3+x}+\sqrt{6-x}=3$
2. $\sqrt{3x-2}+\sqrt{x-1}=3$
3. $\sqrt{3+x}-\sqrt{2-x}=1$
4. $\sqrt{9+x}=5-\sqrt{2x+4}$
5. $\sqrt{3x+4}-\sqrt{2x+1}=\sqrt{x+3}$
6. $\sqrt{5x-1}-\sqrt{3x-2}-\sqrt{x-1}=0$
7. $\sqrt{3x+4}+\sqrt{x+4}=2\sqrt{x}$
8. $\sqrt{5x-5}+\sqrt{10x-5}=\sqrt{15x-10}$
9. $\sqrt{x+4}-\sqrt{1-x}=\sqrt{1-2x}$
10. $\sqrt{-x^2+3x-2}+\sqrt{x+1}=\sqrt{2}$
11. $\sqrt{x-1}-\sqrt{5x-1}=\sqrt{3x-2}$
12. $\sqrt{x+1}-\sqrt{9-x}=\sqrt{2x-12}$
13. $\sqrt{x^2+x-5}+\sqrt{x^2+8x-4}=5$
14. $\sqrt{3x^2+5x+8}-\sqrt{3x^2+5x+1}=1$
15. $\sqrt{x^2+9}-\sqrt{x^2-7}=2\sqrt{5x-1}-\sqrt{3x-2}-\sqrt{x-1}$
16. $\sqrt{3x^2+6x+16}+\sqrt{x^2+2x}=2\sqrt{x^2+2x+4}$
17. $\frac{3+x}{3x}=\sqrt{\frac{1}{9}+\frac{1}{x}\sqrt{\frac{4}{9}+\frac{2}{x^2}}}$
18. $\sqrt{1-x}=\sqrt{x^2-2x-5}$
19. $\sqrt{x+\sqrt{x+11}}+\sqrt{x-\sqrt{x+11}}=4$
20. $\sqrt{x+1}-1=\sqrt{x-\sqrt{x+8}}$
Bài viết đã được chỉnh sửa nội dung bởi Jinbe: 03-09-2013 - 20:42