Question

How can you use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)^2 = q that has the same solutions?

I'm not really sure what this is asking... none of it really makes sense to me. I just need it cleared up and explained in simpler terms.

@dan815

Answer 1

oaky so
say you have aany quadratic equation they are all in the form
ax^2+bx+c=y

Answer 2

if u wanna rewrite this in the form
(x-p)^2=q then|
------------------------------
ax^2+bx+c=y
x^2+b/ax+c/a =y/a
x^2+Bx=C <--- lets just say i rearrange and call them these new variables >_> just for simplicity sake now..
x^2+Bx=C
if you do
(x+B/2)^2 since u know that we need an x^2 and Bx ,
but doing this gives extra terms so we simple add the extra term to the other side of the equation too to balanced it out
Equation we started with :
x^2+Bx=C

(x+B/2)^2 = C+ B^2/4
another way to see this is

so say we know the extra term we will get, lets just add it to both sides...

x^2+Bx + B^2/4 =C +B^2/4
now factor the left side and you will see that
x^2+Bx + B^2/4 = (x+B/2)^2

Answer 3

Okay, I get that.
But if I had to answer the question in words only, how would I describe that process?

Answer 4

just read that whole thing completely, please!

Answer 5

it should be all you need

Answer 6

if aanthing in there doesnt make sense, ill be glad to clear it up, I kinda rushed so.. the grammar is pretty bad lol

Answer 7

Thank you :)