Nature of quad. equation(F.4)

2008-09-12 2:03 am
x^2-2√3 x+2=0
Find the nature by ∆ 方法
answer: It has 2 unequal irrational roots.

如果我照delta方法找會是RATIONAL.
究竟以∆ 方法有咩錯?

回答 (1)

2008-09-12 2:27 am
✔ 最佳答案
The delta method has no problem. Delta is rational but the roots are irrational!
Since sqrt(b^2 - 4ac) = 2 is rational. But the roots = [2sqrt 3 +/- 2]/2 = sqrt 3 +/- 1
are irrational.


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