Question

Can someone explain completing the square?
x^2+y^2+12x-14y-36=0

Answer 1

i ordered the equation x^2+12x+y^2-14y=36

Answer 2

dont know what to do from here

Answer 3

First get the 36 to the right side of the equation. Now what do you have?

Answer 4

Sorry see you did that>

Answer 5

Now we need to set the equation up. To complete the square in the equation
ax^2+bx+c we take 1/2 of b and square it and then add to both sides of the equation. Then do the same for ay^2+by+c. Do you understand?

Answer 6

so half of 12?

Answer 7

Yes

Answer 8

okay i got x^2+12x+36+y^2-14y-49=36+36-49

Answer 9

is this right?

Answer 10

Very good.. Now we need to factor the left side and combine the left side.

Answer 11

(x+6)^2+(y-7)^2=23

Answer 12

You go girl....very good

Answer 13

thank you! :)

Answer 14

Welcome

Answer 15

oh, if you still see this. I got 23, but webworks says 23 isn't correct? i dont see whats wrong