Find All Real and Complex Solutions of the Quadratic Equation $( x + 7 ) ^ { 2 } + 28 = 0$

question 88

Multiple Choice

Find all real and complex solutions of the quadratic equation $( x + 7 ) ^ { 2 } + 28 = 0$ .

• A) \(4 \pm 7 \sqrt { 7 }\)
• B) \(7 \pm 2 \sqrt { 7 }\)
• C) \(7 \pm 4 \sqrt { 7 } i\)
• D) \(- 2 \pm 7 \sqrt { 7 } i\)
• E) \(- 7 \pm 2 \sqrt { 7 } i\)

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Definitions:

Higher-order Conditioning

A learning process in which a stimulus that was previously neutral is paired with a conditioned stimulus to produce the same conditioned response as the original conditioned stimulus.

Neutral Stimulus

A stimulus that initially produces no specific response other than focusing attention, until it is associated with an unconditioned stimulus.

Spontaneous Recovery

The reappearance of conditioned responses after a period of rest and without further conditioning.

Waterfowl

Aquatic birds that are typically found in freshwater or sea near coastlines, including ducks, geese, and swans.