Find All Real Solutions $x = \sqrt { \frac { - 1 + \sqrt { 17 } } { 2 } }$

question 10

Multiple Choice

Find all real solutions. x ⁴ + x ² - 4 = 0

• A) \(x = \sqrt { \frac { - 1 + \sqrt { 17 } } { 2 } }\)
• B) \(x = \sqrt { \frac { 1 - \sqrt { 13 } } { 2 } }\)
• C) \(x = \pm \sqrt { \frac { 1 - \sqrt { 13 } } { 2 } }\)
• D) \(x = \pm \sqrt { \frac { - 1 \pm \sqrt { 17 } } { 2 } }\)
• E) \(x = \pm \sqrt { \frac { - 1 + \sqrt { 17 } } { 2 } }\)

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Definitions:

Net Present Value

The calculation of the current value of a series of future cash flows by applying a discount rate, used to assess the profitability of an investment.

Financial Break-even Point

The level of revenue exactly sufficient to cover all fixed and variable costs, resulting in neither profit nor loss.

Required Return

The minimum expected return an investor anticipates or requires from an investment to compensate for its risk.