F4 maths 一元二次方程

2012-12-15 4:52 pm
證明對於任意正數k,方程4x^2-4kx+k(k-1)=0都有兩個不相等的實根。

回答 (1)

2012-12-15 7:00 pm
✔ 最佳答案
For unequal real roots, delta > 0
(-4k)^2 - 4(4)k(k - 1) > 0
16k^2 - 16k(k - 1) > 0
k^2 - k^2 + k > 0
k > 0
That means k can be any value greater than zero, that is k can be any positive number.


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