document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033449>Question 1033449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation\r<BR>\n" );
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document.write( "sqrt(2x+1)+5=sqrt(x+12)-8<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648091 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=648091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Most of the work below is wrong having a mistake; I might fix and repost later:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B1%29%2B5=sqrt%28x%2B12%29-8 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B1%29%2B5=sqrt%28x%2B12%29-8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B1%29=sqrt%28x%2B12%29-8-5 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B1%29=sqrt%28x%2B12%29-8-5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282x%2B1%29=sqrt%28x%2B12%29-13 ALIGN=MIDDLE  ALT=\"sqrt%282x%2B1%29=sqrt%28x%2B12%29-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "square both sides....<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1=%28x%2B12%29-26%2Asqrt%28x%2B12%29%2B169 ALIGN=MIDDLE  ALT=\"2x%2B1=%28x%2B12%29-26%2Asqrt%28x%2B12%29%2B169\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B1-x-12-169=-26%2Asqrt%28x%2B12%29 ALIGN=MIDDLE  ALT=\"2x%2B1-x-12-169=-26%2Asqrt%28x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x-1%2Bx%2B12%2B169=26%2Asqrt%28x%2B12%29 ALIGN=MIDDLE  ALT=\"-2x-1%2Bx%2B12%2B169=26%2Asqrt%28x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B11%2B169=26sqrt%28x%2B12%29 ALIGN=MIDDLE  ALT=\"-x%2B11%2B169=26sqrt%28x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180-x=26%2Asqrt%28x%2B12%29 ALIGN=MIDDLE  ALT=\"180-x=26%2Asqrt%28x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Square both sides AGAIN...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=676%28x%2B12%29=180%5E2-360x%2Bx%5E2 ALIGN=MIDDLE  ALT=\"676%28x%2B12%29=180%5E2-360x%2Bx%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=676x%2B676%2A12=x%5E2-360x%2B180%5E2 ALIGN=MIDDLE  ALT=\"676x%2B676%2A12=x%5E2-360x%2B180%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=x%5E2-360%2B180%5E2-676x-676%2A12 ALIGN=MIDDLE  ALT=\"0=x%5E2-360%2B180%5E2-676x-676%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-676x-360%2B180%5E2-676%2A12=0 ALIGN=MIDDLE  ALT=\"x%5E2-676x-360%2B180%5E2-676%2A12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%5E2-676x%2B23928=0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%5E2-676x%2B23928=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You might need to check if one or both of those solutions work in the original equation.\r<BR>\n" );
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document.write( "General Solution Formula for Quadratic Equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28676%2B-+sqrt%28676%5E2-4%2A23928%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28676%2B-+sqrt%28676%5E2-4%2A23928%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28676%2B-+sqrt%28361264%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28676%2B-+sqrt%28361264%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "D=16*22579=16*67*337<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28676%2B-+sqrt%2816%2A67%2A337%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28676%2B-+sqrt%2816%2A67%2A337%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%28676%2B-+4%2Asqrt%2867%2A337%29%29%2F2 ALIGN=MIDDLE  ALT=\"x=%28676%2B-+4%2Asqrt%2867%2A337%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28cross%28x=338%2B-+2%2Asqrt%2867%2A337%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28cross%28x=338%2B-+2%2Asqrt%2867%2A337%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >   ---------check to be sure which of these work in case only one.\r<BR>\n" );
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document.write( "*That solution is wrong.  The correct results, not yet both checked, are x=24 or x=1012. </SPAN>\n" );
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