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

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.
- $$x ^ { 2 } - \frac { 2 } { 7 } x$$

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) $\frac { 2 } { 49 } ; x ^ { 2 } - \frac { 2 } { 7 } x + \frac { 2 } { 49 } = \left( x - \frac { 1 } { 7 } \right) ^ { 2 }$