Solve the Quadratic Equation by Completing the Square and Applying $$3 x ^ { 2 } + 5 x - 6 = 0$$

question 246

Multiple Choice

Solve the quadratic equation by completing the square and applying the square root property.
- $$3 x ^ { 2 } + 5 x - 6 = 0$$

• A) \(- \frac { 5 } { 3 } \pm \frac { \sqrt { 97 } } { 3 }\)
• B) \(- \frac { 5 } { 6 } \pm \frac { \sqrt { 97 } } { 6 }\)
• C) \(- \frac { 5 } { 6 } \pm \frac { \sqrt { 47 } } { 6 }\)
• D) \(- \frac { 5 } { 3 } \pm \frac { \sqrt { 47 } } { 3 }\)

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Definitions:

Complement

A good or service that is used together with another good or service, often enhancing the value or utility of the primary good.

Income

The monetary payment received for providing labor, producing goods, or investing capital, often measured over a specific time period.

Movement Along

Refers to a change in the quantity demanded or supplied of a good, due to a change in its price, represented graphically as a movement along a demand or supply curve.

Demand Curve

A graphical representation showing the relationship between the price of a good or service and the quantity demanded by consumers at those prices.