document.write( "Question 113001: Evaluate the quadratic function y=x^2-2x+2 at x=1+i \n" ); document.write( "
Algebra.Com's Answer #82310 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"y=x%5E2-2x%2B2\" Start with the given equation\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=%281%2Bi%29%5E2-2%281%2Bi%29%2B2\" Plug in x=1+i\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=1%2B2i%2Bi%5E2-2%281%2Bi%29%2B2\" Foil\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=1%2B2i-1-2%281%2Bi%29%2B2\" Replace \"i%5E2\" with -1\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=1%2B2i-1-2-2i%2B2\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=1-1%2B2i-2i%2B2-2\" Group common terms together. This step is optional, but I'm trying to show you that everything cancels\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=cross%281-1%29%2Bcross%282i-2i%29%2Bcross%282-2%29\" Cancel like terms\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y=0\" So after canceling, we get this\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So when x=1+i, \"y=0\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );