document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128762>Question 128762</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do I solve - <BR>\n" );
document.write( "x2 - 6x + 16 = 0<BR>\n" );
document.write( "It says there are no real answers, but that there are complex answers. What does this mean please?<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 #94199 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=94199\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do I solve - <BR>\n" );
document.write( "x^2 - 6x + 16 = 0<BR>\n" );
document.write( "It says there are no real answers, but that there are complex answers. What does this mean please?<BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "The Real Numbers include the Rational Numbers and the Irrational Numbers.<BR>\n" );
document.write( "Complex Numbers are a set of numbers that look like a+bi and where the <BR>\n" );
document.write( "a and the b are Real numbers and \"i\" is the square root of negative-one.<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Your Problem:<BR>\n" );
document.write( "x^2 - 6x + 16 = 0<BR>\n" );
document.write( "Use the Quadratic formula to get:<BR>\n" );
document.write( "x = [6 +- sqrt(36 - 4*16)]/2<BR>\n" );
document.write( "x = [6 +- sqrt(-28)]/2<BR>\n" );
document.write( "x = [6 +- 2isqrt(7)]/2<BR>\n" );
document.write( "x = [3 +- isqrt(7)]<BR>\n" );
document.write( "x = 3+isqrt(7) or x = 3-isqrt(7)<BR>\n" );
document.write( "=========================<BR>\n" );
document.write( "Notice that the \"3\" is rational, and the sqrt(7) is irrational<BR>\n" );
document.write( "and the answers are in the form a+bi<BR>\n" );
document.write( "=========================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );