6

Set 2: Quadratic Equations (Advanced)

Explanation

Answer: A

Find the sum of the roots of 3x2+12=03x^2 + 12 = 0.

A.

0

✓ Correct
B.

4

C.

-4

D.

Undefined

Detailed Explanation

Choice A is correct. Choice A is the correct answer. Rewrite the equation in standard form: 3x2+0x+12=03x^2 + 0 x + 12 = 0. 1. Identify b=0b = 0. 2. Sum = b/a=0/3=0-b/a = -0/3 = 0. Note: The roots are imaginary (2i2i and 2i-2 i), but their sum is still 0. Choice B is incorrect. Choice C is incorrect. Choice D is incorrect.

Key Steps:

The correct answer is 0

Why others are wrong:
B: Choice B is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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