document.write( "Question 203100This question is from textbook
\n" ); document.write( ": Imaginary numbers
\n" ); document.write( "
\n" ); document.write( "x^2-2x+12,x=1-2i
\n" ); document.write( "

Algebra.Com's Answer #153231 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"x%5E2-2x%2B12\" Start with the given expression.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%281-2i%29%5E2-2%281-2i%29%2B12\" Plug in \"x=1-2i\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1-4i%2B4i%5E2-2%281-2i%29%2B12\" FOIL\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"1-4i%2B4i%5E2-2%2B4i%2B12\" Distribute\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"11%2B4i%5E2\" Combine like terms.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"11%2B4%28-1%29\" Plug in \"i%5E2=-1\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"11-4\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"7\" Subtract\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So \"%281-2i%29%5E2-2%281-2i%29%2B12=7\" \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This means that \"x%5E2-2x%2B12=7\" when \"x=1-2i\"
\n" ); document.write( "
\n" );