Solve Quadratic Equations by Completing the Square
Determine the Constant $$x ^ { 2 } - \frac { 2 } { 7 } x$$

question 176

Multiple Choice

Solve Quadratic Equations by Completing the Square
Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then
write and factor the trinomial.
- $$x ^ { 2 } - \frac { 2 } { 7 } x$$

• A) \(\frac { 1 } { 49 } ; x ^ { 2 } - \frac { 2 } { 7 } x + \frac { 1 } { 49 } = \left( x - \frac { 1 } { 7 } \right) ^ { 2 }\)
• B) \(\frac { 1 } { 49 } ; x ^ { 2 } - \frac { 2 } { 7 } x + \frac { 1 } { 49 } = \left( x + \frac { 1 } { 7 } \right) ^ { 2 }\)
• C) \(\frac { 4 } { 49 } ; x ^ { 2 } - \frac { 2 } { 7 } x + \frac { 4 } { 49 } = \left( x - \frac { 2 } { 7 } \right) ^ { 2 }\)
• D) \(\frac { 2 } { 49 } ; x ^ { 2 } - \frac { 2 } { 7 } x + \frac { 2 } { 49 } = \left( x - \frac { 1 } { 7 } \right) ^ { 2 }\)

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Definitions:

Nonsystematic Variance

Nonsystematic variance, also known as unsystematic risk, is the portion of an investment's risk that is attributable to the specific risk of its issuer and can be mitigated through diversification.

Security Market Line

A graphical representation of the capital asset pricing model, showing the expected return of an investment as a function of its systemic risk.

Nonsystematic Risk

The risk associated with an individual asset or investment, resulting from factors specific to its issuer's performance and not the broader market.