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

Question

Quizplus · Accepted Answer

To complete the square for $x^2 - 12x$, you add $\left(\frac{-12}{2}\right)^2 = 36$. This gives $x^2 - 12x + 36$, which factors to $(x - 6)^2$.

Solve Quadratic Equations by Completing the Square Determine the Constant x2−12xx ^ { 2 } - 12 xx2−12x

Solve Quadratic Equations by Completing the Square
Determine the Constant $x ^ { 2 } - 12 x$