Solve the Equation $\left( x ^ { 2 } - 13 \right) ^ { 2 } + 3 \left( x ^ { 2 } - 13 \right) - 4 = 0$

question 105

Multiple Choice

Solve the equation $\left( x ^ { 2 } - 13 \right) ^ { 2 } + 3 \left( x ^ { 2 } - 13 \right) - 4 = 0$ . (Find all real and complex solutions.)

• A) \(\pm 3 , \pm \sqrt { 14 } i\)
• B) \(\pm 13 , \pm \sqrt { 14 } i\)
• C) \(\pm 3 , \pm \sqrt { 14 }\)
• D) \(\pm 13 , \pm 14 i\)
• E) \(\pm 9 , \pm 14\)

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Definitions:

Substitutes

Products or services that can replace or serve as alternatives to another, often influencing consumer choices and market competition.

Income Elasticity

A measure of how much the quantity demanded of a good responds to a change in consumers' income, holding all other factors constant.

Normal Good

A good for which a rise in income increases the demand for that good—the “normal” case.

Total Revenue

The total income received by a firm from selling its goods or services, calculated as the unit price times the quantity sold.