根号的符号:√ 平方则用:^
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/08/19 05:54:01
![](http://img.wesiedu.com/upload/9/fa/9fa8e9d6abeebe1859e7efab68d0d4a3.jpg)
根号的符号:√ 平方则用:^2
![根号的符号:√ 平方则用:^](/uploads/image/z/2530607-23-7.jpg?t=%26nbsp%3B%E6%A0%B9%E5%8F%B7%E7%9A%84%E7%AC%A6%E5%8F%B7%EF%BC%9A%E2%88%9A%26nbsp%3B+%26nbsp%3B+%26nbsp%3B+%26nbsp%3B+%26nbsp%3B+%26nbsp%3B%E5%B9%B3%E6%96%B9%E5%88%99%E7%94%A8%EF%BC%9A%5E)
这就是一元二次方程嘛.
移项:(2+√ 3-x)^2=3x^2
开根号:2+√ 3-x=√ 3x 或2+√ 3-x=-√ 3x
所以有两个
x=(2+√ 3)/(1+√ 3)=(2+√ 3)(√ 3-1)/2=(√ 3+1)/2
或x=(2+√ 3)/(1-√ 3)=(2+√ 3)(1+√ 3)/(-2)=-(5+3√ 3)/2
移项:(2+√ 3-x)^2=3x^2
开根号:2+√ 3-x=√ 3x 或2+√ 3-x=-√ 3x
所以有两个
x=(2+√ 3)/(1+√ 3)=(2+√ 3)(√ 3-1)/2=(√ 3+1)/2
或x=(2+√ 3)/(1-√ 3)=(2+√ 3)(1+√ 3)/(-2)=-(5+3√ 3)/2