For this case we have the following quadratic equation:

Where:

By definition, the discriminant of a quadratic equation is given by:

We have to:
Two different real roots
Two different complex roots
Two equal real roots
Substituting the values we have:

So, we have two different complex roots
Answer:
Two different complex roots
x=2 from cross multiplying.
Answer:
B) (2x + 3)(2x - 3)
Step-by-step explanation:
Use the FOIL method for each answer choice.
FOIL = First, Outside, Inside, Last
(2x)(2x) = 4x²
(2x)(-3) = -6x
(3)(2x) = 6x
(3)(-3) = -9
4x² -6x +6x -9
Simplify. Combine like terms:
4x² (-6x + 6x) - 9
4x² - 9
4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer
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