SOLUTION: what is the standard form of this conic equation. is it a parabola, hyperbola, ellipse, or circle? = y²-9x²+6y-126x=441

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: what is the standard form of this conic equation. is it a parabola, hyperbola, ellipse, or circle? = y²-9x²+6y-126x=441       Log On


   

Question 302808: what is the standard form of this conic equation. is it a parabola, hyperbola, ellipse, or circle? = y²-9x²+6y-126x=441
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square in x and y.
y%5E2-9x%5E2%2B6y-126x=441+
-9x%5E2-126x%2By%5E2%2B6y=441+
-9%28x%5E2%2B14x%29%2B%28y%5E2%2B6y%29=441+
-9%28x%5E2%2B14x%2B49%29%2B%28y%5E2%2B6y%2B36%29=441%2B441-36+
-9%28x%2B7%29%5E2%2B%28y%2B6%29%5E2=846+
%28y%2B6%29%5E2-9%28x%2B7%29%5E2=846+
Looks like a hyperbola.
Opposite signs on x and y with unequal coefficients.