SOLUTION: What is the center and radius of the circle with equation x^2+y^2+2x-3y-4=0

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Question 64822: What is the center and radius of the circle with equation x^2+y^2+2x-3y-4=0
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
What is the center and radius of the circle with equation x^2+y^2+2x-3y-4=0
Put the equation in standard form %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2, (h,k)=center and r=radius, by completing the square.
x^2+2x+y^2-3y-4+4=0+4
x^2+2x+____+y^2-3y+_____=4+____+____
x^2+2x+(2/2)^2+y^2-3y+(-3/2)^2=4+(2/2)^2+(-3/2)^2
x^2+2x+1+y^2-3y+9/4=4+1+9/4
(x+1)^2+(y-3/2)^2=16/4+4/4+9/4
(x+1)^2+(y-3/2)^2=29/4
The center (h,k)=(-1,3/2) the radius=sqrt%2829%2F4%29=sqrt%2829%29%2F2
Happy Calculating!!!