SOLUTION: Anyone know how to graph this? 2x^2 + 2y^2 -12x + 8y -24 = 0

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Question 35479This question is from textbook algebra for college students
: Anyone know how to graph this?
2x^2 + 2y^2 -12x + 8y -24 = 0 This question is from textbook algebra for college students

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Start by dividing both sides by 2:
x%5E2+%2By%5E2+-6x+%2B4y-12+=+0

Next, add +12 to each side, group the x terms and y terms together, and prepare to complete the square:
x%5E2+-+6x+%2B+____%2By%5E2+%2B4y%2B_____=+12+%2B_____%2B_____

To complete the square, you must take half of the x and y coefficients, respectively, and square. Add that number to both sides on the blank lines that I provided.
x%5E2+-+6x+%2B+9++%2By%5E2+%2B4y%2B4=+12+%2B9%2B4
+%28x-3%29%5E2+%2B+%28y%2B2%29%5E2+=+25

This is a circle, with center at (3,-2) and of radius 5. Can you draw the graph?



R^2 at SCC