SOLUTION: Tutors can you help me?* find the center and the radius of the circle given by x^2+8x+y^2+6y-24=0

Question 140867: Tutors can you help me?*
find the center and the radius of the circle given by x^2+8x+y^2+6y-24=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Add to both sides

Complete the square for the x terms

Complete the square for the y terms

Combine like terms

Add to both sides

Combine like terms

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Notice how the equation is now in the form . This means that this conic section is a circle where (h,k) is the center and is the radius.
So the circle has these properties:

CENTER: (-4,-3)

Radius:
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