Solve the Equation $$2 a ^ { 4 } + 1 = 7 a ^ { 2 }$$

question 152

Multiple Choice

Solve the equation.
- $$2 a ^ { 4 } + 1 = 7 a ^ { 2 }$$

• A) \(\left\{ - \frac { \sqrt { 7 + \sqrt { 41 } } } { 2 } , - \frac { \sqrt { 7 - \sqrt { 41 } } } { 2 } , \frac { \sqrt { 7 - \sqrt { 41 } } } { 2 } , \frac { \sqrt { 7 + \sqrt { 41 } } } { 2 } \right\}\)
• B) \(\left\{ \frac { - 7 - \sqrt { 41 } } { 4 } , \frac { - 7 + \sqrt { 41 } } { 4 } \right\}\)
• C) \(\left\{ \frac { 7 - \sqrt { 41 } } { 4 } , \frac { 7 + \sqrt { 41 } } { 4 } \right\}\)
• D) \(\left\{ - \frac { \sqrt { 7 + \sqrt { 41 } } } { 2 } i , - \frac { \sqrt { 7 - \sqrt { 41 } } } { 2 } i , \frac { \sqrt { 7 - \sqrt { 41 } } } { 2 } i , \frac { \sqrt { 7 + \sqrt { 41 } } } { 2 } i \right\}\)

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Definitions:

Market Demand

The sum of all the quantities of a good or service demanded per period by all the households buying in the market for that good or service.

Total Revenue

The total income a firm receives from selling its goods or services, calculated as the price per unit times the number of units sold.

Total Cost

Total Cost is the sum of all expenses incurred in the production of goods or services, including both fixed and variable costs.

Marginal Revenue Curve

A graph illustrating the additional revenue a firm gains when it sells one additional unit of a product.