Complete the square on the following equation to write the e

Complete the square on the following equation to write the equation in a different form and then graph the resulting conic section x^2 + y^2 - 4x - 16y - 40 = 0. Complete the square on the following equation to write the equation in a different form and then resulting conic section: 9x^2 + y^2 - 18x - 16y - 43 = 0.

Solution

24) x^2 - 4x + 4 - 4 + y^2 - 16y + 64 - 64 - 40 = 0

(x - 2)^2 + (y - 8)^2 = 108

25) 9x^2 + y^2 - 18x - 16y - 43 = 0

9(x^2 - 2x + 1 - 1) + (y^2 - 16y + 64 - 64) - 43 = 0

9(x - 1)^2 + (y - 8)^2 -9 - 64 - 43 = 0

   9(x - 1)^2 + (y - 8)^2 = 116