Question 1037648
A circle is defined by the equation x2 + y2 – x – 2y –  = 0. What are the coordinates for the center of the circle and the length of the radius?
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x^2-x + y^2–2y = 0
Complete the squares of x and y
x^2-x+1/4 + y^2–2y+1 = 0+1/4+1= 5/4
{{{(x-1/2)^2 + (y-1)^2 = 5/4 = r^2}}}
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Center (1/2,1)
{{{r = sqrt(5/2)}}}