by completing the square the expression that is x^2+14 x +156 equals (x+A)^2+B
so the question is what would A and B equal
this is my last question...i am stumped on a few of these..
by completing the square the expression that is x^2+14 x +156 equals (x+A)^2+B
so the question is what would A and B equal
this is my last question...i am stumped on a few of these..
I'll put you out of you're misery. Given an equation $\displaystyle x^2+bx+c$, You want to get something of the form $\displaystyle x^2+bx+\left(\frac{b}{2}\right)^2+k$, for some constant $\displaystyle k$. (Note that $\displaystyle k+\left(\frac{b}{2}\right)^2=c$.) When factored, this will become $\displaystyle \left(x+\frac{b}{2}\right)^2+k$.
So in this case,$\displaystyle \frac{b}{2}=7$ so $\displaystyle \left(\frac{b}{2}\right)^2=49$.
Break up the equation: $\displaystyle x^2+14x+156=x^2+14x+49+107$
Factor and you're done: $\displaystyle x^2+14x+49+107=(x+7)^2+107$.
So $\displaystyle A=7$ and $\displaystyle B=107$.
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EDIT: You've already figured it out I see. Well, at least you have something to check it against now.