SOLUTION: Convert the following conic sections into standard form. Identify the type of conic being represented. -y^2 + 12y - 19=18x - x^2

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Question 879234: Convert the following conic sections into standard form. Identify the type of conic being represented.
-y^2 + 12y - 19=18x - x^2
Found 3 solutions by ewatrrr, josgarithmetic, MathTherapy:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
-y^2 + 12y - 19=18x - x^2
x^2 - 18x - y^2 + 12y = 19
(x-9)^2 - (y-6)^2 = 19 + 81 - 36
(x-9)^2 - (y-6)^2 = 64
(x-9)^2/64 - (y-6)^2/64 = 1 Hyperbola C(9,6)

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-18x-y%5E2%2B12y=19
x%5E2-18x%2B9%5E2-%28y%5E2-12y%2B6%5E2%29=19-9%5E2%2B6%5E2
%28x-9%29%5E2-%28y-6%29%5E2=19%2B36-81
%28y-6%29%5E2-%28x-9%29%5E2=81-19-36=26, combined steps.
%28y-6%29%5E2-%28x-9%29%5E2=26

HYPERBOLA, centered (9,6).

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the following conic sections into standard form. Identify the type of conic being represented.
-y^2 + 12y - 19=18x - x^2


Hyperbola, with the following equation: