Answer:
we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
Step-by-step explanation:
Given the equation
[tex]-3x^2-36x=300[/tex]
First of all, we need to divide both sides by -3 to simplify it
i.e.
[tex]\frac{-3x^2-36x}{-3}=\frac{300}{-3}[/tex]
[tex]x^2+12x=-100[/tex]
In order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex], we need to add a²=6² to both sides
[tex]x^2+12x+6^2=-100+6^2[/tex]
so
[tex]\left(x+6\right)^2=-64[/tex]
Therefore, we need to add a²=6² to both sides of [tex]x^2+12x+6^2=-100+6^2[/tex] in order to rewrite in the form [tex]\left(x\:+\:a\right)^2\:=\:b[/tex].
