(x^2+12x )+(y^2-18y )=5 complete the square on x by adding?

(x^2+12x) + (y^2-18y) = 5

=> (x^2+12x) + 36 + (y^2-18y) + 81 = 5 +36 + 81

=> (x^2+12x+36) + (y^2-18y+81) = 122

=> (x^2 + 2×x×6 + 6^2) + (y^2 - 2×y×9 + 9^2) = 122

=> (x + 6)^2 + (y - 9)^2 = 122

Answer is either b or c