Solve the Equation by Completing the Square $$x ^ { 2 } + 3 x - 9 = 0$$

question 4

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 3 x - 9 = 0$$

• A) \(\left\{ \frac { - 3 - 3 \sqrt { 5 } } { 2 } \right\}\)
• B) \(\{ - 3 \pm 3 \sqrt { 5 } \}\)
• C) \(\left\{ \frac { - 3 + 3 \sqrt { 5 } } { 2 } \right\}\)
• D) \(\left\{ \frac { - 3 \pm 3 \sqrt { 5 } } { 2 } \right\}\)

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Definitions:

1-Methylcyclohexane-1,4-diol

A compound featuring a cyclohexane ring with a methyl group and two hydroxyl groups positioned at the 1 and 4 positions.

Benzyl Alcohol

A type of alcohol with the formula C6H5CH2OH, characterized by a benzene ring attached to a CH2OH group.

Methyl Benzoate

An organic compound formed from the esterification of benzoic acid with methanol, characterized by a sweet smell and used in perfumery.

Aldehyde Treatment

A chemical process involving the reaction of an aldehyde group, often resulting in the introduction of new functional groups.