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AMC12 2005 A

AMC12 2005 A · Q9

AMC12 2005 A · Q9. It mainly tests Quadratic equations, Vieta / quadratic relationships (basic).

There are two values of $a$ for which the equation $4x^2 + ax + 8x + 9 = 0$ has only one solution for $x$. What is the sum of those values of $a$?
方程 $4x^2 + ax + 8x + 9 = 0$ 只有一个 $x$ 解时,$a$ 有两个取值。这两个 $a$ 值的和是多少?
(A) -16 -16
(B) -8 -8
(C) 0 0
(D) 8 8
(E) 20 20
Answer
Correct choice: (A)
正确答案:(A)
Solution
https://youtu.be/3dfbWzOfJAI?t=222
https://youtu.be/3dfbWzOfJAI?t=222
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