document.write( "Question 323138: The angle between the lines represented by x²+3xy+2y²=0 is \n" ); document.write( "

Algebra.Com's Answer #231337 by galactus(183) $\"\"$ $\"About$

You can put this solution on YOUR website!
If we solve the given quadratic for y, we get y=-x and y=-x/2.\r
\n" ); document.write( "\n" ); document.write( "I assume what is being asked is to find the angle between these two lines?.\r
\n" ); document.write( "\n" ); document.write( "There is a formula for finding the angle between two lines.\r
\n" ); document.write( "\n" ); document.write( "It is: $\"arctan%28%28m2-m1%29%2F%281%2Bm1%2Am2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Where m1 and m2 are their respective slopes of -1 and -1/2.\r
\n" ); document.write( "\n" ); document.write( " $\"arctan%28%28-1%2F2-%28-1%29%29%2F%281%2B%28-1%2F2%29%28-1%29%29%29=arctan%281%2F3%29=18.435\"$ \r
\n" ); document.write( "\n" ); document.write( "Is that what you were getting at?.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );