SOLUTION: I am confused as to how to find the radius and center of a circle by using an equation. Here's the equation: x^-4x+y^+2y=-1

Question 84318This question is from textbook
: I am confused as to how to find the radius and center of a circle by using an equation. Here's the equation:

x^-4x+y^+2y=-1 This question is from textbook

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
You must complete the square on the x and y terms respectively:

You must "complete the square" by taking HALF of the x coefficient, and SQUARE the result, adding this amount to each side of the equation. Repeat by taking HALF of the Y coefficient, SQUARE, and add to each side of the equation. It should look like this:

The center is at x=2 and y=-1, and r^2 = 4.
Therefore, the center is (2,-1) and r=2.

R^2 at SCC
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