document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130537>Question 130537</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321269470/algebrahomeworkh>Introductory Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I'll try one more time...\r<BR>\n" );
document.write( "\n" );
document.write( "12/sqrt(5x+6) = sqrt(2x+5)\r<BR>\n" );
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document.write( "Thanks!<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95326 by </B><A HREF=/tutors/aboutme.mpl?userid=oscargut><B>oscargut(2103)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oscargut><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=oscargut><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=95326\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "12/sqrt(5x+6) = sqrt(2x+5)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "12=sqrt(5x+6)sqrt(2x+5)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "12^2=(sqrt(5x+6)sqrt(2x+5))^2<BR>\n" );
document.write( "then<BR>\n" );
document.write( "144=(5x+6)(2x+5)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "10x^2+37x+30=144<BR>\n" );
document.write( "then<BR>\n" );
document.write( "10x^2+37x-114=0<BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-37+%2B-+sqrt%28+37%5E2-4%2A10%2A%28-114%29+%29%29%2F%282%2A10%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-37+%2B-+sqrt%28+37%5E2-4%2A10%2A%28-114%29+%29%29%2F%282%2A10%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-37+%2B-+sqrt%28+5929+%29%29%2F20+ ALIGN=MIDDLE  ALT=\"x+=+%28-37+%2B-+sqrt%28+5929+%29%29%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-37+%2B-+77%29%2F20+ ALIGN=MIDDLE  ALT=\"x+=+%28-37+%2B-+77%29%2F20+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "then x=-5.5 or x=2<BR>\n" );
document.write( "but in the original equation x=-5.5 produces a sqrt of a negative number<BR>\n" );
document.write( "so the only solution is\r<BR>\n" );
document.write( "\n" );
document.write( "x=2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );