Question 1193536
2. Find the center and radius of 5x^2+5y^2+24+36y+10=0
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Complete the squares for x and for y:
5x^2+5y^2+24+36y+10=0
5x^2 + 5y^2 + 36y = -34
x^2 + y^2 + 7.2y = -6.8
x^2 + y^2 + 7.2y + 12.96 = -6.8 + 12.96 = 6.16
x^2 + (y + 3.6)^2 = 6.16
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Center at (0,-3.6)
{{{r = sqrt(6.16)}}}