Solve the Equation by Completing the Square $$x ^ { 2 } - 12 x + 45 = 0$$

question 22

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } - 12 x + 45 = 0$$

• A) \(- 6 \pm 3 i\)
• B) 9,3
• C) \(12 \pm 6 i\)
• D) \(6 \pm 3 \mathrm { i }\)

---

Definitions:

Mood

The order of the standard forms that make up the premises and conclusion of a categorical syllogism.

Syllogism

A form of logical reasoning where a conclusion is drawn from two given or assumed propositions (premises); each of which shares a common or middle term not present in the conclusion.

Major Term

In a syllogism, the predicate of the conclusion, representing the category into which the subjects are being classified.

Syllogism

A form of deductive reasoning consisting of a major premise, a minor premise, and a conclusion, where the conclusion logically follows from the premises.