Question

Please help me simplify a quadratic equation. (x^2 + 2x +1) + (y^2 + 4y +4) = 25

Answer 1

HI!!

Answer 2

you seem to have two variables there, but each term in parentheses is a perfect square

Answer 3

you can rewrite it as
\[(x+1)^2+(y+2)^2=25\] so it is the equation for a circle

Answer 4

Yes, that is what we were supposed to do. It is to find the midpoint of a circle along with the radius

Answer 5

it is not a "quadratic equation" nor can you "simplify" it, but you can write it in the standard from for a circle

Answer 6

Terribly sorry, my internet likes to go out on me

Answer 7

How would I write it in standard form ?

Answer 8

it is not the internet, is is OS today

Answer 9

Oh okay so how would I write it in standard form like you said?

Answer 10

i did already

Answer 11

Oh okay, I see

Answer 12

\[x^2+2x+1=(x+1)^2\] and
\[y^2+4y+4=(y+2)^2\]

Answer 13

you get \[(x+1)^2+(y+2)^2=25\] and from that you can read off the center and the radius

Answer 14

you got that or no?

Answer 15

I used an online calculator to try this and ended up with "The center is (-1,-2) and the radius is 5." Would this be correct? Or would my points have to be positive

Answer 16

And yes, I understand now

Answer 17

that is correct
form is
\[(x-h)^2+(y-k)^2=r^2\]

Answer 18

Okay, Thank you for all of your help :)