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 graph resulting conic section: y^2 - 12y - x - 36 = 0.

Solution

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

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

27) y^2 - 12y + 36 - 36 - x - 36 = 0

(y - 6)^2 - x = 72