The discussion revolves around completing the square to find the center and radius of a circle from a given equation. The original equation provided is y² + 12y = 17 - x² + 2x, which participants are attempting to manipulate into the standard form of a circle's equation.
Some participants are sharing their attempts at completing the square, while others are questioning the correctness of these attempts. There is a suggestion to refer to a textbook or online resource for clarification, indicating that guidance has been offered without reaching a consensus.
Participants express uncertainty about the steps involved in completing the square and the implications of their manipulations. There is a mention of needing to move terms around and the challenge of correctly applying the method.
Move all of the terms except 17 to the left side, grouping the terms in x together and the terms in y together.srv96 said:Homework Statement
I have no idea how to figure this out. Please help!:)
Complete the square to find the center and radius of the circle:
(equation of a circle:(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius)
y^2+12y=17-x^2+2x
No, that's not completing the square. Check your textbook again (if you have one). Or, here's an online lesson:srv96 said:After completeing the square, I ended up with
y(y+12)+x(x-2)=17
Would the extra y's and x's cancel out and would the answer just become
(x-2)^2 + y(y+12)^2=square root of 17
and thanks for the previous help:)