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.
-$$x ^ { 2 } + \frac { 1 } { 6 } x$$
A) $\frac { 1 } { 144 } ; x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 144 } = \left( x + \frac { 1 } { 12 } \right) ^ { 2 }$
B) $\frac { 1 } { 36 } ; x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 36 } = \left( x + \frac { 1 } { 6 } \right) ^ { 2 }$
C) $\frac { 1 } { 12 } ; x ^ { 2 } + \frac { 1 } { 6 } x + \frac { 1 } { 12 } = \left( x + \frac { 1 } { 6 } \right) ^ { 2 }$
D) $144 ; x ^ { 2 } + \frac { 1 } { 6 } x + 144 = ( x + 12 ) ^ { 2 }$

Question

Quizplus · Accepted Answer

To complete the square, add $(\frac{1}{2} \cdot \frac{1}{6})^2 = (\frac{1}{12})^2 = \frac{1}{144}$ to the binomial, resulting in a perfect square trinomial $(x + \frac{1}{12})^2$.

Solve Quadratic Equations by Completing the Square Determine the Constant x2+16xx ^ { 2 } + \frac { 1 } { 6 } xx2+61​x

Solve Quadratic Equations by Completing the Square
Determine the Constant $x ^ { 2 } + \frac { 1 } { 6 } x$