Aand B are the roots of the equation x2-4x+6=0

来源：学生作业帮编辑：作业帮分类：数学作业时间：2024/07/16 13:43:05

Aand B are the roots of the equation x2-4x+6=0
(i) Find the value of 1 1
--- + ---
A B
1 1
(ii) Find the quadratic equation whose roots are -- and --
A B

题目应该是这个意思吧：
A和B是方程 x^2 - 4X + 6=0 的跟,求：
1）（1/A）＋（1/B）
2）求跟为（1/A）和（1/B）的方程.
1）
（1/A）＋（1/B）
=(A+B)/(AB)
=(-4)/(6)
=-2/3
2)
(1/A)*(1/B)
=1/(AB)
=1/6
又由1)知道,（1/A）＋（1/B）＝-2/3
所以所求的方程为：
x^2 -(2/3)x + 1/6=0
通分一下,就是：
6 x^2 -4x +1=0

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