SOLUTION: x^2+y^2-4x+6y+4=0 i need to find the center, and radius

Question 80070: x^2+y^2-4x+6y+4=0

i need to find the center, and radius
Answer by tutor_paul(519) (Show Source): You can put this solution on YOUR website!
You first need to get your equation into the standard form, which is:

The center is then (h, k) and the radius is r.
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You are given: , so the first step is to put this into the above form. The technique you need to use is called "Completing The Square." First, I will rewrite the equations a bit to organize the terms properly as follows:

Now comes the Completing The Square part...divide the coefficients of x and y respectively by 2 and square the result. Add this number to both sides of the equation in order to maintain the equality:

Simplifying the right side:

Now you can rewrite the x and y terms as factors which gets you in the needed format:

Now that you have the equation in the proper format, you can easily get the center and the radius.
Good Luck,
tutor_paul@yahoo.com
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