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

question 30

Multiple Choice

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

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

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Definitions:

Perceived Size

An individual's subjective assessment of the dimension or magnitude of an object, which can be influenced by context or surrounding stimuli.

Perceived Distance

The subjective experience or estimation of how far an object or destination is from oneself.

Monocular Cue

A depth perception cue that can be perceived with just one eye, such as size, texture gradient, or linear perspective.

Light and Shadow

The play of light and darkness, often used in visual arts to create depth, highlight form, or convey mood and atmosphere.