2x² + 2y² - 20x - 8y + 50 = 0 Divide through by 2 x² + y² - 10x - 4y + 25 = 0 Swap the 2nd and 3rd terms to get the terms in x together and the terms in y togethsr x² - 10x + y² - 4y + 25 = 0 Get the 25 off the left side by subtracting 25 from both sides: x² - 10x + y² - 4y = -25 Skip a space after the x terms and after the y terms: x² - 10x + __ + y² - 4y + __ = -25 Complete the square on the x terms: 1. To the side, nultiply the coefficient of x, which is -10, by 1/2, getting -5 2. Then square the -5 you got in step 1, getting +25 3. Put 25 in the first blank and add 25 to the right side x² - 10x + 25 + y² - 4y + __ = -25 + 25 Complete the square on the y terms: 1. To the side, nultiply the coefficient of y, which is -4, by 1/2, getting -2 2. Then square the -2 you got in step 1, getting +4 3. Put 4 in the second blank and add 4 to the right side x² - 10x + 25 + y² - 4y + 4 = -25 + 25 + 4 Factor the first three terms on the left Factor the last three terms on the left Combine the terms on the right (x - 5)(x - 5) + (y - 4)(y - 4) = 4 Write as squares of binomials: (x - 5)² + (y - 4)² = 4 Compare to (x - h)² + (y - k)² = r² The center is (h,k) = (5,4) The radius is four from r² = 4 which gives r = 2 The graph isEdwin