Solve by Completing the Square $$3 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 1$$

question 41

Multiple Choice

Solve by completing the square.
- $$3 x ^ { 2 } - 7 x - 5 = x ^ { 2 } + 2 x - x ( x + 1 ) + 1$$

• A) \(\frac { 4 \pm \sqrt { 34 } } { 3 }\)
• B) \(\frac { 6 \pm \sqrt { 34 } } { 3 }\)
• C) \(\frac { 5 \pm \sqrt { 23 } } { 3 }\)
• D) \(\frac { 4 \pm \sqrt { 31 } } { 3 }\)

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Definitions:

High Metabolism

A condition where the body burns calories at a faster rate than average, often resulting in difficulty gaining weight.

Satiety

The feeling of fullness or satisfaction that signals the end of a meal and inhibits eating until the next meal.

Hunger Pangs

Physical sensations of discomfort or pain in the stomach area indicating the need or desire to eat.

Digestive Tract

The series of hollow organs joined in a long, twisting tube from the mouth to the anus, where digestion of food occurs.