Solve the Equation $$e ^ { 2 x } - 14 e ^ { x } + 9 = 0$$

question 293

Multiple Choice

Solve the equation.
- $$e ^ { 2 x } - 14 e ^ { x } + 9 = 0$$

• A) { }
• B) \(\{ \ln ( 7 \pm 2 \sqrt { 10 } ) \} ; x \approx 2.5896 , x \approx - 0.3924\)
• C) \(\{ \ln ( 7 + 2 \sqrt { 10 } ) \} ; x \approx 2.5896\)
• D) \(\{ 7 \pm 2 \sqrt { 10 } \} ; x \approx 13.3246 , x \approx 0.6754\)

---

Definitions:

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of values, commonly used in finance to assess the risk associated with a particular investment.

Correlation

Correlation is a statistical measure that describes the extent to which two variables change together, indicating the strength and direction of their relationship.

Market Risk Premium

The additional return investors expect for holding a risky market portfolio instead of risk-free assets, reflecting the extra risk.

Beta

A measure of a stock's volatility in relation to the overall market; a beta greater than 1 indicates the stock is more volatile than the market, while a beta less than 1 means it is less volatile.