方程化简这种的怎么化简?
来源:学生作业帮 编辑:搜狗做题网作业帮 分类:数学作业 时间:2024/08/17 07:22:52
方程化简
这种的怎么化简?
![](http://img.wesiedu.com/upload/9/15/9152a84479fb8d66b53aaa32f0a6ec0e.jpg)
这种的怎么化简?
![](http://img.wesiedu.com/upload/9/15/9152a84479fb8d66b53aaa32f0a6ec0e.jpg)
![方程化简这种的怎么化简?](/uploads/image/z/16944431-23-1.jpg?t=%E6%96%B9%E7%A8%8B%E5%8C%96%E7%AE%80%E8%BF%99%E7%A7%8D%E7%9A%84%E6%80%8E%E4%B9%88%E5%8C%96%E7%AE%80%3F)
√[(x+1)²+y²]=10-√[(x-5)²+y²]
两边平方
(x+1)²+y²=100-20√[(x-5)²+y²]+(x-5)²+y²
x²+2x+1+y²=100-20√[(x-5)²+y²]+x²-10x+25+y²
20√[(x-5)²+y²]=124-12x
5√[(x-5)²+y²]=31-3x
两边平方
25[(x-5)²+y²]=(31-3x)²
25x²-250x+625+25y²=961-186x+9x²
16x²-64x+64+625+25y²=400
16(x-2)²+25y²=400
(x-2)²/25+y²/16=1
两边平方
(x+1)²+y²=100-20√[(x-5)²+y²]+(x-5)²+y²
x²+2x+1+y²=100-20√[(x-5)²+y²]+x²-10x+25+y²
20√[(x-5)²+y²]=124-12x
5√[(x-5)²+y²]=31-3x
两边平方
25[(x-5)²+y²]=(31-3x)²
25x²-250x+625+25y²=961-186x+9x²
16x²-64x+64+625+25y²=400
16(x-2)²+25y²=400
(x-2)²/25+y²/16=1