SOLUTION: Given this equation find the radius and center of a circle. {{{x^2+6x+y^2-5y=-1/4}}}
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Question 16112: Given this equation find the radius and center of a circle.
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You want to get your equation into the standard form for a circle with center at (h, k) and radius r. It will look like this:
To do this, you must:
1) Complete the square in the x-terms.
2) Complete the square in the y-terms.
3) Factor the resulting x-trinomial.
4) Factor the resulting y-trinomial.
5) Simplify, if necessary, into the standard form.
Complete the squares by adding the square of half the coefficient of x/y to both sides.
Factor the x and the y trinomials and simplify the right side of the equation.
Compare this with the standard form.
The center of the circle is at (-3, 5/2) and the radius is
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