document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=87473>Question 87473</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve. \r<BR>\n" );
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document.write( "The square root of x-1 = x-3\r<BR>\n" );
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document.write( "I got as far as x=x^2-6x+10 but don't know what to do next. Please explain. <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 #63395 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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/cgi-bin/show-face.mpl?user=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=63395\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x-1%29+=+x-3 ALIGN=MIDDLE  ALT=\"sqrt%28x-1%29+=+x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1+=+%28x-3%29%5E2 ALIGN=MIDDLE  ALT=\"x-1+=+%28x-3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-1=+x%5E2+-6x%2B9 ALIGN=MIDDLE  ALT=\"x-1=+x%5E2+-6x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, since this is a quadratic equation, you must set it equal to zero by subtracting x and adding +1 to each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2+-7x+%2B10 ALIGN=MIDDLE  ALT=\"0=x%5E2+-7x+%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This factors!  By the way in radical equations, they ALWAYS factor!!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=%28x-5%29%28x-2%29+ ALIGN=MIDDLE  ALT=\"0=%28x-5%29%28x-2%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x=5  or  x=2\r<BR>\n" );
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document.write( "You MUST check the answers, since you squared both sides of the equation!!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28x-1%29+=+x-3 ALIGN=MIDDLE  ALT=\"sqrt%28x-1%29+=+x-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Check:  x=5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285-1%29+=+5-3 ALIGN=MIDDLE  ALT=\"sqrt%285-1%29+=+5-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%29=+2 ALIGN=MIDDLE  ALT=\"sqrt%284%29=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >  It checks!!\r<BR>\n" );
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document.write( "Check:  x=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282-1%29+=+2-3 ALIGN=MIDDLE  ALT=\"sqrt%282-1%29+=+2-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%281%29=+-1 ALIGN=MIDDLE  ALT=\"sqrt%281%29=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >  It does NOT check!!<BR>\n" );
document.write( "You must reject the value of x=2.\r<BR>\n" );
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document.write( "Final answer is x=5 only!\r<BR>\n" );
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document.write( "R^2  Retired from SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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