document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35547>Question 35547</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve: x=sqrt3x+13-5=\r<BR>\n" );
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document.write( "show work please </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21760 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=21760\">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=+x=sqrt%283x%2B13%29-5 ALIGN=MIDDLE  ALT=\"+x=sqrt%283x%2B13%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Start by adding +5 to each side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B5+=sqrt%283x%2B13%29+ ALIGN=MIDDLE  ALT=\"+x%2B5+=sqrt%283x%2B13%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Next, square both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B5%29%5E2+=+%28sqrt%283x%2B13%29%29%5E2 ALIGN=MIDDLE  ALT=\"+%28x%2B5%29%5E2+=+%28sqrt%283x%2B13%29%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%5E2%2B10x+%2B+25+=+3x%2B13+ ALIGN=MIDDLE  ALT=\"+x%5E2%2B10x+%2B+25+=+3x%2B13+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is quadratic, so set it equal to zero and factor!  By the way, it ALWAYS factors in radical equations like this!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+7x+%2B+12+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+7x+%2B+12+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%28x%2B4%29+=+0 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%28x%2B4%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-3 ALIGN=MIDDLE  ALT=\"x=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=+-4 ALIGN=MIDDLE  ALT=\"x=+-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "However, these answers are NOT guaranteed!  They must be checked in the original equation:\r<BR>\n" );
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document.write( "Check x = -3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=sqrt%283x%2B13%29-5 ALIGN=MIDDLE  ALT=\"+x=sqrt%283x%2B13%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+=+sqrt%283%2A%28-3%29%2B13%29+-+5 ALIGN=MIDDLE  ALT=\"+-3+=+sqrt%283%2A%28-3%29%2B13%29+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+=+sqrt%284%29+-+5 ALIGN=MIDDLE  ALT=\"+-3+=+sqrt%284%29+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3+=+2-5 ALIGN=MIDDLE  ALT=\"-3+=+2-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "It checks!!\r<BR>\n" );
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document.write( "Check x = -4<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x=sqrt%283x%2B13%29-5 ALIGN=MIDDLE  ALT=\"+x=sqrt%283x%2B13%29-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+=+sqrt%283%2A%28-4%29%2B13%29+-+5 ALIGN=MIDDLE  ALT=\"+-4+=+sqrt%283%2A%28-4%29%2B13%29+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-4+=+sqrt%281%29+-+5 ALIGN=MIDDLE  ALT=\"+-4+=+sqrt%281%29+-+5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4+=+1-5 ALIGN=MIDDLE  ALT=\"-4+=+1-5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "It also checks!!\r<BR>\n" );
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document.write( "Final answer is x= -3 or x= -4.\r<BR>\n" );
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document.write( "R^2 at SCC </SPAN>\n" );
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