document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62771>Question 62771</A>: <I><SPAN STYLE=\"word-break: break-all;\"> write a quadratic equation that has the solutions -10i and 10i<BR>\n" );
document.write( "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 #43603 by </B><A HREF=/tutors/aboutme.mpl?userid=jai_kos><B>jai_kos(139)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jai_kos><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=43603\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the solutions are  -10i and +10i\r<BR>\n" );
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document.write( "Let it be the solutions for x\r<BR>\n" );
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document.write( "x = -10i or x = 10i\r<BR>\n" );
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document.write( "(x +10i)= 0 or (x -10i) =0\r<BR>\n" );
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document.write( "multiply both the equations we get\r<BR>\n" );
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document.write( "(x+10i)(x-10i) = 0\r<BR>\n" );
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document.write( "Using the foil method, we expand the above.\r<BR>\n" );
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document.write( "x^2 +10ix -10ix +10i* -10i = 0\r<BR>\n" );
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document.write( "x^2 -100(i)^2 = 0\r<BR>\n" );
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document.write( "Because (i)^2 = -1, we substitute above, we get\r<BR>\n" );
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document.write( "x^2 -100(-1) = 0\r<BR>\n" );
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document.write( "x^2 +100  = 0\r<BR>\n" );
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document.write( "Therefore the quadratic equation which has the root -10i and 10i ia x^2 + 100 = 0\r<BR>\n" );
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