document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=758352>Question 758352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve the radical equation: sqrt (x+2) + sqrt (3x+7) = 1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #461438 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=461438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%28x%2B2%29+%2B+sqrt+%283x%2B7%29+=+1 ALIGN=MIDDLE  ALT=\"sqrt+%28x%2B2%29+%2B+sqrt+%283x%2B7%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >....square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt+%28x%2B2%29%29%5E2+%2B+2sqrt+%28x%2B2%29sqrt+%283x%2B7%29%2B%28sqrt+%283x%2B7%29%29%5E2+=+1%5E2 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2+%2B+2sqrt%28%28x%2B2%29%283x%2B7%29%29%2B3x%2B7+=+1 ALIGN=MIDDLE  ALT=\"x%2B2+%2B+2sqrt%28%28x%2B2%29%283x%2B7%29%29%2B3x%2B7+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%28x%2B2%29%283x%2B7%29%29%2B4x%2B9+=+1 ALIGN=MIDDLE  ALT=\"2sqrt%28%28x%2B2%29%283x%2B7%29%29%2B4x%2B9+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%28x%2B2%29%283x%2B7%29%29=-4x-9%2B+1 ALIGN=MIDDLE  ALT=\"2sqrt%28%28x%2B2%29%283x%2B7%29%29=-4x-9%2B+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%28x%2B2%29%283x%2B7%29%29=-4x-8 ALIGN=MIDDLE  ALT=\"2sqrt%28%28x%2B2%29%283x%2B7%29%29=-4x-8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sqrt%28%28x%2B2%29%283x%2B7%29%29%2F2=-4x%2F2-8%2F2 ALIGN=MIDDLE  ALT=\"2sqrt%28%28x%2B2%29%283x%2B7%29%29%2F2=-4x%2F2-8%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%28x%2B2%29%283x%2B7%29%29=-2x-4 ALIGN=MIDDLE  ALT=\"sqrt%28%28x%2B2%29%283x%2B7%29%29=-2x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >...square both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%28%28x%2B2%29%283x%2B7%29%29%29%5E2=%28-2x-4%29%5E2 ALIGN=MIDDLE  ALT=\"%28sqrt%28%28x%2B2%29%283x%2B7%29%29%29%5E2=%28-2x-4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2%29%283x%2B7%29=4x%5E2%2B16x%2B16 ALIGN=MIDDLE  ALT=\"%28x%2B2%29%283x%2B7%29=4x%5E2%2B16x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B7x%2B6x%2B14=4x%5E2%2B16x%2B16 ALIGN=MIDDLE  ALT=\"3x%5E2%2B7x%2B6x%2B14=4x%5E2%2B16x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B13x%2B14=4x%5E2%2B16x%2B16 ALIGN=MIDDLE  ALT=\"3x%5E2%2B13x%2B14=4x%5E2%2B16x%2B16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=4x%5E2-3x%5E2%2B16x-13x%2B16-14 ALIGN=MIDDLE  ALT=\"0=4x%5E2-3x%5E2%2B16x-13x%2B16-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B3x%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B3x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >...write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x ALIGN=MIDDLE  ALT=\"3x\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2Bx ALIGN=MIDDLE  ALT=\"2x%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B2x%2Bx%2B2=0 ALIGN=MIDDLE  ALT=\"x%5E2%2B2x%2Bx%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....group\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E2%2Bx%29%2B%282x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28x%5E2%2Bx%29%2B%282x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B1%29%2B2%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"x%28x%2B1%29%2B2%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B1%29%28x%2B2%29=0 ALIGN=MIDDLE  ALT=\"%28x%2B1%29%28x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......use zero product rule\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1=0 ALIGN=MIDDLE  ALT=\"x%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B2=0 ALIGN=MIDDLE  ALT=\"x%2B2=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " only solution that works is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-2%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because it makes term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%28x%2B2%29 ALIGN=MIDDLE  ALT=\"sqrt+%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to zero and term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt+%283x%2B7%29 ALIGN=MIDDLE  ALT=\"sqrt+%283x%2B7%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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