Solve Quadratic Equations by Completing the Square
Determine the Constant $$x ^ { 2 } + \frac { 4 } { 5 } x$$

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.
- $$x ^ { 2 } + \frac { 4 } { 5 } x$$

A) $\frac { 4 } { 25 } ; x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 4 } { 25 } = \left( x + \frac { 2 } { 5 } \right) ^ { 2 }$
B) $\frac { 8 } { 25 } ; x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 8 } { 25 } = \left( x + \frac { 4 } { 5 } \right) ^ { 2 }$
C) $\frac { 4 } { 5 } ; x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 4 } { 5 } = \left( x + \frac { 2 } { 5 } \right) ^ { 2 }$
D) $\frac { 2 } { 25 } ; x ^ { 2 } + \frac { 4 } { 5 } x + \frac { 2 } { 25 } = \left( x + \frac { 2 } { 5 } \right) ^ { 2 }$