SOLUTION: I need to know how to find the radius and center of x2 - 2x + y2 – 16y = – 1.

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Question 16395: I need to know how to find the radius and center of x2 - 2x + y2 – 16y = – 1.
Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
You need to get your equation into the standard form for a circle whose centre is at (h, k) and whose radius is r.

You can accomplish this by completing the squares in the x-terms and in the y-terms, then factoring the resulting trinomial in x and factoring the resulting trinomial in y. Start by grouping the x-terms and grouping the y-terms.
Complete the sqauare in the x-terms by adding the square of half the coefficient of x. Similarly for the y-terms. Don't forget to add these to both sides of the equation.
Simplify and factor the x-trinomial and the y-trinomial.
Compare this with the standard form:

The centre of the circle is at (1, 8) and its radius is

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