Question

x^2+y^2+12x+8y=48

Please don't just give me the answer I need to understand the steps... it's making me so frustrated. Help!!

Answer 1

Alrighty! Just gimme a sec to work out the problem on my own, and then I can help :)

Answer 2

thanks you a million times!!

Answer 3

Okay.
You can't factor this out normally, sadly, enough. However, you could split up 48 into 36 and 12.

Answer 4

And have 12 for your y equation :)

Answer 5

I assume that you have to write the equation of the circle in standard form.

Answer 6

okay its a conic equation but i dont know which one but yeah

Answer 7

All that needs to be done is to complete the square.

Answer 8

i can graph it but i cant figure out which standard form to put it into

Answer 9

(x - h)^2 + (y - k)^2 = r^2

Answer 10

@Hero : I don't know conics all too well. >.< Or at least what they are?

Answer 11

I didn't realize this was a conic equation until afterwards xD

Answer 12

Isolate terms with x on one side:
x^2 + 12x = 48 - y^2 - 8y

Then complete the square by adding 36 to both sides:
x^2 + 12x + 36 = 48 + 36 - y^2 - 8y
(x + 6)^2 = 84 - y^2 - 8y

Isolate terms with y on one side:
y^2 + 8y = 84 - (x + 6)^2

Then complete square by adding 16 to both sides:
y^2 + 8y + 16 = 84 + 16 - (x + 6)^2
(y + 4)^2 = 100 - (x + 6)^2

Then put the equation in standard form:
(x + 6)^2 + (y + 4)^2 = 100
(x + 6)^2 + (y + 4)^2 = 10^2

Answer 13

Ah, okay. Makes sense. :D

Answer 14

thank youu!!

Answer 15

yw