# SOLUTION: x^2+y^2+8x+2y+13=0 Find the center and radius. If someone could explain the steps that would be great!!

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 Question 262418: x^2+y^2+8x+2y+13=0 Find the center and radius. If someone could explain the steps that would be great!!Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!Here is the original equation (i) step 1 - rearrange the terms so that x's are grouped and y's are grouped together. (ii) the blanks are waiting for certain numbers step 2 - take 1/2 of the middle terms and square it (1/2)*8 = 4 -> 4^2 = 16 (1/2)*2 = 1 -> 1^2 = 1 so, we get (iii) notice that the blanks were filled in with the squared numbers. step 3 - rewrite the x any y trinomial as a binomial squared. Also, simplify the right side to get (iv) notice that the constant is 1/2 the middle term. we have everything we need to find center and radius. center = (h,k) = (-4,-1) radius = 2