document.write( "Question 302808: what is the standard form of this conic equation. is it a parabola, hyperbola, ellipse, or circle? = y²-9x²+6y-126x=441 \n" ); document.write( "

Algebra.Com's Answer #217082 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Complete the square in x and y.
\n" ); document.write( " $\"y%5E2-9x%5E2%2B6y-126x=441+\"$
\n" ); document.write( " $\"-9x%5E2-126x%2By%5E2%2B6y=441+\"$
\n" ); document.write( " $\"-9%28x%5E2%2B14x%29%2B%28y%5E2%2B6y%29=441+\"$
\n" ); document.write( " $\"-9%28x%5E2%2B14x%2B49%29%2B%28y%5E2%2B6y%2B36%29=441%2B441-36+\"$
\n" ); document.write( " $\"-9%28x%2B7%29%5E2%2B%28y%2B6%29%5E2=846+\"$
\n" ); document.write( " $\"%28y%2B6%29%5E2-9%28x%2B7%29%5E2=846+\"$ \r
\n" ); document.write( "\n" ); document.write( "Looks like a hyperbola.
\n" ); document.write( "Opposite signs on x and y with unequal coefficients. \n" ); document.write( "

\n" );