Math Help - Need help solving.....squares..

1. Need help solving.....squares..

This shouldn't be hard, but I can't ever seem to remember what to do with a problem like so:

c^2 + 12 = 7c and it asks me to solve it. Do I square root both sides? Or what?

same goes for ones like:

(y+4)^2 - 81 = 0

Thank you for the help.

2. Alright, I managed to use the quadratic on those, though I am having trouble with one similar to this:

x^2 + 1 = 4x

Thanks for the help again.

3. The second is easier as there are less steps;

$(y+4)^2-81=0$
$\implies (y+4)^2=81$
$\implies y+4=\pm 9$
$\implies y=-4 \pm 9$

Now for the first;

$c^2+12=7c$
$\implies c^2-7c+12=0$

We want this in the same form as above i.e. $A(c+B)^2+C$
$\implies A(c^2+2Bc+B^2)+C$
$\implies Ac^2+2ABc+AB^2+C$

Now compare co-effecients;

$c^2=Ac^2 \implies A=1$
$7c=2ABc \implies B=\frac {-7}{2}$

$12=AB^2+C \implies C=12-(\frac{-7}{2})^2 \implies C=12-\frac {49}{4}$
$\implies C=-\frac{1}{4}$

Hence $c^2-7c+12=(c-\frac{7}{2})^2-\frac{1}{4}=0$

Now solve like number 2.

4. Originally Posted by tmanderson
Alright, I managed to use the quadratic on those, though I am having trouble with one similar to this:

x^2 + 1 = 4x

Thanks for the help again.
So you are allowed to use the quadratic formula? Then you should just make one side equal 0 then use it.

In my previous post i presumed you wanted to know how to solve the square.