document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252269>Question 252269</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can we know that equation has no solution?im a bit confusing about that.<BR>\n" );
document.write( "check this out ; x=rootx-6 ,ive been work it out and find that x=3 x=-2 then i look at the answers from the back and it just written as no solution .really confused! -_- </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184102 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=184102\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how can we know that equation has no solution?<BR>\n" );
document.write( "I'm a bit confused about that.<BR>\n" );
document.write( "check this out ; x = root(x-6). <BR>\n" );
document.write( "I've been working it out and find that x=3 x=-2 then i look at the answers from the back.It says no solution. Really confused!<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "x = sqrt(x-6)<BR>\n" );
document.write( "Square both sides to get:<BR>\n" );
document.write( "x ^2 = x-6<BR>\n" );
document.write( "x^2 - x + 6 = 0<BR>\n" );
document.write( "(x-3)(x+2) = 0<BR>\n" );
document.write( "x = 3 or x = -2<BR>\n" );
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document.write( "Checking the answers in the original equation.<BR>\n" );
document.write( "Can x = 3 ?<BR>\n" );
document.write( "No because sqrt(3-6) = sqrt(-3) is not a Real Number.<BR>\n" );
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document.write( "Can x = -2 ? <BR>\n" );
document.write( "No because sqrt(-2-6) = sqrt(-8) is not a Real Number.<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Therefore there is no solution for your problem.<BR>\n" );
document.write( "===============================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );