document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1172786>Question 1172786</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonals of a kite are (2x + 3) units and (x + 4) units. If the area is<BR>\n" );
document.write( "58.5 sq. units, how long are the diagonals?<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 #797897 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=797897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The diagonals of a kite are (2x + 3) units and (x + 4) units.<BR>\n" );
document.write( " If the area is 58.5 sq. units, how long are the diagonals?<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Area of a kite = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >a * b, where a and b are the diagonals<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (2x+3)(x+4) = 58.5<BR>\n" );
document.write( "multiply both sides by 2<BR>\n" );
document.write( "(2x+3)(x+4) = 117<BR>\n" );
document.write( "FOIL<BR>\n" );
document.write( "2x^2 + 8x + 3x + 12 = 117<BR>\n" );
document.write( "2x^2 + 11x + 12 - 117 = 0<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "2x^2 + 11x - 105 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(2x+21)(x-5) = 0<BR>\n" );
document.write( "the positive solution is all we want here<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "diagonal a: 2(5) + 3 = 13<BR>\n" );
document.write( "diagonal b: 5 + 4 = 9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >*13*9 = 58.5  </SPAN>\n" );
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