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:

Capitation

A payment model in healthcare where providers receive a fixed amount of money per patient for a designated period of time regardless of the amount of care the patient requires.

Payment Plan

An agreement between a debtor and a creditor that outlines the method by which the debtor will pay back the owed amount over a specific period.

Continuing Care

Ongoing healthcare services that support individuals' needs over time, especially for those with chronic conditions or after hospitalization.

Primary Care

Medical care provided by general practitioners or family physicians who address a wide range of health issues and coordinate patient care.