1959 AMC 12 第 27 题
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所有题目均经美国数学协会（MAA）官方合法授权使用。
27.
对于方程
其中 ，下列哪一个陈述不正确？
Which one of the following statements is not true for the equation
where
两根之和为
The sum of the roots is
判别式为
The discriminant is
两根都是虚数
The roots are imaginary
可用求根公式求出两根
The roots can be found by using the quadratic formula
可在虚数范围内因式分解来求出两根
The roots can be found by factoring, using imaginary numbers
小提示：
在解方程之前，先用韦达定理求两根之和
Use Vieta’s formula for the sum of the roots before solving the equation
大提示：
两根之和等于 项系数的相反数除以 项系数
The sum is the negative of the -coefficient divided by the -coefficient
解答：
由韦达定理，两根之和为 而不是 。判别式为 求根公式给出虚根 和 ，所以其余陈述都正确。
因此，正确答案是 A。
By Vieta’s formula, the sum of the roots is not Also the discriminant is The quadratic formula gives the imaginary roots and so the remaining statements are true.
Thus, the correct answer is A.
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