document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=174535>Question 174535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the expression in the standard form a + bi<BR>\n" );
document.write( "(&#8730;2/2+&#8730;2/2i)^2<BR>\n" );
document.write( "Please help me solve this equation\r<BR>\n" );
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document.write( "The answer I have is a. i/2  b. -i c. i or d. -i/2\r<BR>\n" );
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document.write( "Can you help me? Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #129541 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=129541\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"x=sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%2F2%2B%28sqrt%282%29%2F2%29i%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%2F2%2B%28sqrt%282%29%2F2%29i%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bx%2Ai%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2Bx%2Ai%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2Bx%2Ai%29%5E2 ALIGN=MIDDLE  ALT=\"%28x%2Bx%2Ai%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2Bx%5E2%2Ai%2Bx%5E2%2Ai%2Bx%5E2%2Ai%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2Bx%5E2%2Ai%2Bx%5E2%2Ai%2Bx%5E2%2Ai%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FOIL\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%5E2%2Ai%2Bx%5E2%2Ai%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%5E2%2Ai%2Bx%5E2%2Ai%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%5E2%2Ai%2Bx%5E2%28-1%29 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%5E2%2Ai%2Bx%5E2%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2 ALIGN=MIDDLE  ALT=\"i%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > with -1. Remember, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i%5E2=-1 ALIGN=MIDDLE  ALT=\"i%5E2=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%5E2%2Ai-x%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%5E2%2Ai-x%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2Ai ALIGN=MIDDLE  ALT=\"2x%5E2%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28sqrt%282%29%2F2%29%5E2%2Ai ALIGN=MIDDLE  ALT=\"2%28sqrt%282%29%2F2%29%5E2%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"x=sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%281%2F2%29%2Ai ALIGN=MIDDLE  ALT=\"2%281%2F2%29%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" > Square <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%2F2%29%5E2=%28sqrt%282%29%2F2%29%28sqrt%282%29%2F2%29=%28sqrt%282%29sqrt%282%29%29%2F%282%2A2%29=2%2F4=1%2F2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=i ALIGN=MIDDLE  ALT=\"i\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%2F2%2B%28sqrt%282%29%2F2%29i%29%5E2=i ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%2F2%2B%28sqrt%282%29%2F2%29i%29%5E2=i\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the answer is c) i\r<BR>\n" );
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document.write( "So the answer in standard form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Bbi ALIGN=MIDDLE  ALT=\"a%2Bbi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%2B1%2Ai ALIGN=MIDDLE  ALT=\"0%2B1%2Ai\"   DISABLED_style= \"max-width:90%; height:auto;\" > where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=0 ALIGN=MIDDLE  ALT=\"a=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=1 ALIGN=MIDDLE  ALT=\"b=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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