document.write( "Question 50657: x^3-x^2+4*x-4=0\r
\n" ); document.write( "\n" ); document.write( "thanks a million:)
\n" ); document.write( "

Algebra.Com's Answer #33734 by rapaljer(4671)\"\" \"About 
You can put this solution on YOUR website!
This is factoring by grouping. Group the first two and last two terms together.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x%5E3-x%5E2%2B4%2Ax-4=0\"
\n" ); document.write( "\"x%5E2%28x-1%29+%2B+4%28x-1%29+=+0\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Notice that there is a common factor of (x-1):
\n" ); document.write( "\"+%28x-1%29+%28x%5E2%2B4%29+=+0\"\r
\n" ); document.write( "\n" ); document.write( "\"x=1\" or \"x%5E2+=+-4\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Are you solving with complex numbers or real numbers only? If real numbers only, then the only answer you have to worry about is x=1. End of problem, since real numbers squared cannot equal a negative.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "However, if complex numbers are allowed, then
\n" ); document.write( "\"x%5E2+=+-4\" gives two solutions:
\n" ); document.write( "\"x=+sqrt%28-4%29\", \"x=-sqrt%28-4%29+\"
\n" ); document.write( "\"x=+2i\", \"x=+-2i\" in addition to \"x=+1\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "R^2 at SCC\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );