document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320183>Question 320183</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please explain how I may obtain the needed answer.<BR>\n" );
document.write( "I have<BR>\n" );
document.write( "(x+3)^2=-25<BR>\n" );
document.write( "I thought<BR>\n" );
document.write( "(X+3)*(x+3)=X^2+6x+9= -25 and moved into quadratic form by adding 25 to both sides. like so,<BR>\n" );
document.write( "x^2+6x+34=0 then solve for X.<BR>\n" );
document.write( "At this point I usually give the brain a break and solve using the TI89.<BR>\n" );
document.write( "Problem is that it keeps telling me false instead of the needed, {-3+5i,-3-5i}<BR>\n" );
document.write( "Can anyone tell me where I went wrong?<BR>\n" );
document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229289 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=229289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The sum of squares factors as follows:<BR>\n" );
document.write( "a^2 + b^2 = (a+bi)(a-bi)<BR>\n" );
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document.write( "(x+3)^2=-25<BR>\n" );
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document.write( "(x+3)^2 + 25 = 0<BR>\n" );
document.write( "Factor:<BR>\n" );
document.write( "[x+3+5i][x+3-5i] = 0<BR>\n" );
document.write( "x = -3-5i or x = -3+5i<BR>\n" );
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document.write( "Not sure what your TI89 is doing.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "============ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );