document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=113055>Question 113055</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321442338/algebrahomeworkh>beginning and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> He gave us a question he made up and told us chapter 11 would help us, but I'm not having any luck. <BR>\n" );
document.write( "The height of a triangle is 5 centimeters longer than three times its base. Find the base of the triangle if its area is 6 square centimeters. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #82343 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=82343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the formula for the area of a triangle is:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281%2F2%29b%2Ah ALIGN=MIDDLE  ALT=\"A+=+%281%2F2%29b%2Ah\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Or\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+b%2Ah%2F2 ALIGN=MIDDLE  ALT=\"A+=+b%2Ah%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Given:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+6cm%5E2 ALIGN=MIDDLE  ALT=\"A+=+6cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+5cm+%2B+3b ALIGN=MIDDLE  ALT=\"h+=+5cm+%2B+3b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Then\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+b%2Ah%2F2%29 ALIGN=MIDDLE  ALT=\"A+=+b%2Ah%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6cm%5E2=+b%285cm+%2B+3b%29+%2F2 ALIGN=MIDDLE  ALT=\"6cm%5E2=+b%285cm+%2B+3b%29+%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6cm%5E2+=+%285bcm+%2B+3b%5E2%29+%2F2 ALIGN=MIDDLE  ALT=\"6cm%5E2+=+%285bcm+%2B+3b%5E2%29+%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >….multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12cm%5E2+=+5bcm+%2B+3b%5E2 ALIGN=MIDDLE  ALT=\"12cm%5E2+=+5bcm+%2B+3b%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >….\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3b%5E2+%2B+5bcm++-12cm%5E2+=+0+ ALIGN=MIDDLE  ALT=\"3b%5E2+%2B+5bcm++-12cm%5E2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >….now use sqrt formula to find only positive root\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=%28-5+%2B+sqrt+%285%5E2+-4%2A3%2A%28-12%29+%29%29+%2F+%282%2A3%29 ALIGN=MIDDLE  ALT=\"b%5B1%5D=%28-5+%2B+sqrt+%285%5E2+-4%2A3%2A%28-12%29+%29%29+%2F+%282%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=%28-5+%2B+sqrt+%2825+%2B+144+%29%29+%2F+6 ALIGN=MIDDLE  ALT=\"b%5B1%5D=%28-5+%2B+sqrt+%2825+%2B+144+%29%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=%28-5+%2B+sqrt+%28169+%29%29+%2F+6 ALIGN=MIDDLE  ALT=\"b%5B1%5D=%28-5+%2B+sqrt+%28169+%29%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=%28-5+%2B+13+%29+%2F+6 ALIGN=MIDDLE  ALT=\"b%5B1%5D=%28-5+%2B+13+%29+%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=+8++%2F+6 ALIGN=MIDDLE  ALT=\"b%5B1%5D=+8++%2F+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5B1%5D=+1.33cm ALIGN=MIDDLE  ALT=\"b%5B1%5D=+1.33cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+5cm+%2B+3b ALIGN=MIDDLE  ALT=\"h+=+5cm+%2B+3b\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+5cm+%2B+3%281.33cm%29 ALIGN=MIDDLE  ALT=\"h+=+5cm+%2B+3%281.33cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+5cm+%2B+3.99cm%29 ALIGN=MIDDLE  ALT=\"h+=+5cm+%2B+3.99cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=++8.99cm%29 ALIGN=MIDDLE  ALT=\"h+=++8.99cm%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "check:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+b%2Ah%2F2 ALIGN=MIDDLE  ALT=\"A+=+b%2Ah%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%281.33%2A8.99%29%2F2 ALIGN=MIDDLE  ALT=\"A+=+%281.33%2A8.99%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%2811.96%29%2F2 ALIGN=MIDDLE  ALT=\"A+=+%2811.96%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+5.98cm%5E2=+6cm%5E2 ALIGN=MIDDLE  ALT=\"A+=+5.98cm%5E2=+6cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );