SOLUTION: Classify the conic section and write its equation in standard form. x^2-4y^2-6x-16y+29=0

Question 970906: Classify the conic section and write its equation in standard form.
x^2-4y^2-6x-16y+29=0
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x^2-4y^2-6x-16y+29=0
rewrite
x^2-6x -4y^2-16y = -29
rewrite
x^2-6x - 4(y^2+4y) = -29
complete the square
x^2-6x+9- 4 (y^2+4y+4) = -29 + 9 (from x) -16 (from y) = -36
(x-3)^2 - 4(y+2)^2 =-36
Divide by 36
[(x-3)^2/36} - [(y+2)^2]/9 = -1
This is a hyperbola.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

.....complete square
...recall the rule
in your case (for ) , and =>=>
and (for ) , and =>=>
so, we have

........both sides divide by

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