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

question 227

Multiple Choice

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

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

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Definitions:

Density

A physical property indicating how much space an object or quantity of substance occupies in relation to its mass.

Precision

Precision refers to the closeness of two or more measurements to each other, indicating the reproducibility of a measurement.

Density of Water

The mass per unit volume of water, approximately 1 gram per cubic centimeter (1 g/cm³) at standard temperature and pressure.

Ice Melting

The physical process by which ice transitions to liquid water as it absorbs heat from its surroundings, typically occurring at 0 degrees Celsius under standard atmospheric pressure.