About Lesson
Solve the following radical equations.
解下列无理方程式
(1)
![Rendered by QuickLaTeX.com \sqrt{2+\sqrt{3+\sqrt x}}=2](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-92e8f67637fc8c3c87059b6fab278444_l3.png)
![Rendered by QuickLaTeX.com \sqrt{2+\sqrt{3+\sqrt x}}=2](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-92e8f67637fc8c3c87059b6fab278444_l3.png)
答案 Answer:
1
(2)
![Rendered by QuickLaTeX.com \sqrt{3x+1}-\sqrt{x+1}=2](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-1d220c543b0c377d4e2f8828b3516115_l3.png)
![Rendered by QuickLaTeX.com \sqrt{3x+1}-\sqrt{x+1}=2](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-1d220c543b0c377d4e2f8828b3516115_l3.png)
答案 Answer:
8
(3)
![Rendered by QuickLaTeX.com \sqrt{2x+1}-\sqrt x=\sqrt{x-3}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-8621e6d90776e8d8d12cc76fcf88e961_l3.png)
![Rendered by QuickLaTeX.com \sqrt{2x+1}-\sqrt x=\sqrt{x-3}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-8621e6d90776e8d8d12cc76fcf88e961_l3.png)
答案 Answer:
4
(4)
![Rendered by QuickLaTeX.com \sqrt{2x-5}+\sqrt{x-3}=\sqrt{3x+4}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-98f3012e3bad00b3626bf06e499ea205_l3.png)
![Rendered by QuickLaTeX.com \sqrt{2x-5}+\sqrt{x-3}=\sqrt{3x+4}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-98f3012e3bad00b3626bf06e499ea205_l3.png)
答案 Answer:
7
(5)
![Rendered by QuickLaTeX.com x^2+\sqrt{x^2+3x}=6-3x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-3e2b8ae6f8e69348c3a5287d113f5cbc_l3.png)
![Rendered by QuickLaTeX.com x^2+\sqrt{x^2+3x}=6-3x](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-3e2b8ae6f8e69348c3a5287d113f5cbc_l3.png)
答案 Answer:
-4, 1
(6)
![Rendered by QuickLaTeX.com 2x^2+\sqrt{x^2-8x}=16x+21](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-6f430f4f0658f740e56525554b0d558d_l3.png)
![Rendered by QuickLaTeX.com 2x^2+\sqrt{x^2-8x}=16x+21](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-6f430f4f0658f740e56525554b0d558d_l3.png)
答案 Answer:
–1, 9
(7)
![Rendered by QuickLaTeX.com 6x^2-\sqrt{3x^2-x}=2x+6](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-03de328071ef79d901d5d6fa24b62021_l3.png)
![Rendered by QuickLaTeX.com 6x^2-\sqrt{3x^2-x}=2x+6](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-03de328071ef79d901d5d6fa24b62021_l3.png)
答案 Answer:
1
, -1
![Rendered by QuickLaTeX.com \frac{1}{3}](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-e63e48332471cc9171675f2cb9c542fd_l3.png)
(8)
![Rendered by QuickLaTeX.com x^2-5x+2\sqrt{x^2-5x+3}-12=0](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-fdc705d59a08545e88f5d387f5fb91c1_l3.png)
![Rendered by QuickLaTeX.com x^2-5x+2\sqrt{x^2-5x+3}-12=0](https://learn-ondemand.com/wp-content/ql-cache/quicklatex.com-fdc705d59a08545e88f5d387f5fb91c1_l3.png)
答案 Answer:
6, -1