document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275967>Question 275967</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble solving this problem. It is in the book Introductory Algebra.<BR>\n" );
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document.write( "12/sqrt5x+6 = sqrt2x+5\r<BR>\n" );
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document.write( "Here is what I have so far.<BR>\n" );
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document.write( "(12/sqrt5x+2)^2= (sqrt2x+5)^2<BR>\n" );
document.write( "144/5x+6 =2x+5<BR>\n" );
document.write( "(5x+6)(2x+5)=144<BR>\n" );
document.write( "10x^2+37x+30=144<BR>\n" );
document.write( "10x^2+37x-114=0\r<BR>\n" );
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document.write( "I can't find two solutions for 10x^2+37x-114 so I'm not sure what to do. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #201205 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=201205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12/sqrt5x+6 = sqrt2x+5 \r<BR>\n" );
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document.write( "144 / 5x+6 = 2x+5<BR>\n" );
document.write( "(2x+5)(5x+6)= 144\r<BR>\n" );
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document.write( "10x^2+12x+25x+30=144\r<BR>\n" );
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document.write( "10x^2+37x-114=0\r<BR>\n" );
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document.write( "The factors are not integers\r<BR>\n" );
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document.write( "so you have to find the roots of the equation\r<BR>\n" );
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document.write( "x1,x2 = -b + / - {sqrt(b^2-4ac)}  / 2a\r<BR>\n" );
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document.write( "a= 10 b=37 and c=-114\r<BR>\n" );
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document.write( "x1= -b+{sqrt(b^2-4ac)}  / 2a\r<BR>\n" );
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document.write( "= -37+sqrt(1369+4560)  / 20<BR>\n" );
document.write( "x1=2\r<BR>\n" );
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document.write( "x2= -b-{sqrt(b^2-4ac)}  / 2a\r<BR>\n" );
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document.write( "x2= -114/20<BR>\n" );
document.write( "x2= -5.7\r<BR>\n" );
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document.write( "2 & -5.7 are the roots of the equation\r<BR>\n" );
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document.write( " </SPAN>\n" );
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