document.write( "Question 851916: Hi, there! I'm a Brazilian engineering student. I'm kind of stuck with a problem in pre-calc about a conic equation. The problem ask me to identify the conic section of the following equation:\r
\n" ); document.write( "\n" ); document.write( " 3x^2 - 2y^2 + 18x - 4y + 20 = 0\r
\n" ); document.write( "\n" ); document.write( " I went throught the algebra stuff (did by completing the square in x and y) but then i got stuck in...\r
\n" ); document.write( "\n" ); document.write( " [3*(x + 3)^2] / 5 - [2*(y + 1)^2] / 5 = 1 \r
\n" ); document.write( "\n" ); document.write( " How can i proceed with it? The answer in my book says it is an hyperbola with the equation...\r
\n" ); document.write( "\n" ); document.write( " [(x + 3)^2] / 2 - [(y + 1)^2] / 3 = 1\r
\n" ); document.write( "\n" ); document.write( " What bothers me is the 3/5 and the -2/5 that i found on those binomials. An hyperbola equation isn't suppose to have a number on the numerators, isn't?\r
\n" ); document.write( "\n" ); document.write( " So, i would be glad if someone could tell me how to proceed with or if i did something wrong. \n" ); document.write( "

Algebra.Com's Answer #513026 by richwmiller(17219) $\"\"$ $\"About$

You can put this solution on YOUR website!
It is a hyperbola.
\n" ); document.write( "3(x+3)^2-2(y+1)^2=5 with center at -3,-1 \n" ); document.write( "

\n" );