Solve the Equation and Write Complex Solutions in Standard Form $$x ^ { 2 } - 10 x + 41 = 0$$

question 125

Multiple Choice

Solve the equation and write complex solutions in standard form. $$x ^ { 2 } - 10 x + 41 = 0$$

• A) \(x = - 20 - 4 i , - 20 + 4 i\)
• B) \(x = - 4 + 5 i , - 4 - 5 i\)
• C) \(x = 5 + 16 i , 5 - 16 i\)
• D) \(x = 5 - 4 i , 5 + 4 i\)
• E) \(x = - 4 + 25 i , - 4 - 25 i\)

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Definitions:

Correlation Coefficient

A statistic in which the covariance is scaled to a value between −1 (perfect negative correlation) and +1 (perfect positive correlation).

Minimum Variance Portfolio

A portfolio constructed to achieve the lowest possible volatility or variability in returns among a set of potential assets.

Standard Deviation

A statistical measure that quantifies the dispersion or variability of a set of data points or investment returns around their mean (average).

Two-asset Portfolio

A portfolio comprising only two assets, used to study the principles of diversification and risk-return trade-off in finance.