document.write( "Question 1177406: I might not have the topic exactly right, but I have an issue. This assignment was due today, but it's something I'm really struggling on. It's one of those really long problems that take an eternity to figure out. \r
\n" ); document.write( "\n" ); document.write( "(x-1)^2+(y+1)^2 = 50
\n" ); document.write( "-x+y = -10\r
\n" ); document.write( "\n" ); document.write( "I decided to start by solving for y since I'm not a huge fan of too many negatives and I didn't know how to procede with a -x, although it's coming to me now. In the end, when I couldn't go any further, I ended up with 2x^2-24x+72=0, but I can't find anything that multiplies to be 72 and adds to be -24, so I KNOW I made a mistake somewhere, I just can't figure out where. Thank you for your time. :) \n" ); document.write( "

Algebra.Com's Answer #806352 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

\r\n" );
document.write( "The other tutor made a mistake and got 31 where he should have gotten 32,\r\n" );
document.write( "because he forgot to add the 1 to 81 in the previous step.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve the second for y:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Substitute in the first\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Divide every term by 2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x-2=0;  x-8=0\r\n" );
document.write( "  x=2;    x=8\r\n" );
document.write( "\r\n" );
document.write( "Find the y-value that goes with x=2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So one solution is (x,y) = (2,-8)\r\n" );
document.write( "\r\n" );
document.write( "Find the y-value that goes with x=8\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the other solution is (x,y) = (8,-2)\r\n" );
document.write( "\r\n" );
document.write( "The graph looks like this, The 2 solutions are the coordinates of the points\r\n" );
document.write( "where the graphs of the two equations intersect:\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "Edwin

\n" ); document.write( " \n" ); document.write( "

\n" );