document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818659>Question 818659</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The sum of two numbers is 24 . the sum of the squares of the two numbers is 306 . what is the product of the two numbers <BR>\n" );
document.write( "a). 119<BR>\n" );
document.write( "b). 128<BR>\n" );
document.write( "c). 135<BR>\n" );
document.write( "d). 144 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492690 by </B><A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><B>TimothyLamb(4379)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=TimothyLamb><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=TimothyLamb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492690\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i + j = 24<BR>\n" );
document.write( "i = (24 - j)<BR>\n" );
document.write( "ii + jj = 306<BR>\n" );
document.write( "---<BR>\n" );
document.write( "ii + jj = 306<BR>\n" );
document.write( "(24 - j)(24 - j) + jj = 306<BR>\n" );
document.write( "576 - 48j + jj + jj = 306<BR>\n" );
document.write( "2jj - 48j + 270 = 0<BR>\n" );
document.write( "2j^2 - 48j + 270 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=2, b=-48, and c=270<BR>\n" );
document.write( "---<BR>\n" );
document.write( "to solve the quadratic equation, by using the quadratic formula, plug this:<BR>\n" );
document.write( "2 -48 270<BR>\n" );
document.write( "into this: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the two real roots (i.e. the two solutions), of the quadratic are:<BR>\n" );
document.write( "j = 15<BR>\n" );
document.write( "j = 9<BR>\n" );
document.write( "---<BR>\n" );
document.write( "answer:<BR>\n" );
document.write( "the two numbers are 9 and 15<BR>\n" );
document.write( "the product of the two numbers is 135<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve and graph linear equations:<BR>\n" );
document.write( "https://sooeet.com/math/linear-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve quadratic equations, quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Convert fractions, decimals, and percents:<BR>\n" );
document.write( "https://sooeet.com/math/fraction-decimal-percent.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Calculate and graph the linear regression of any data set:<BR>\n" );
document.write( "https://sooeet.com/math/linear-regression.php </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );