document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818650>Question 818650</A>: <I><SPAN STYLE=\"word-break: break-all;\"> [ find 2 consecutive odd integers, such that their product is 11 more than 2 times their sum. ] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492688 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=492688\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> j = (i + 2)<BR>\n" );
document.write( "ij = 2(i + j) + 11<BR>\n" );
document.write( "---<BR>\n" );
document.write( "ij = 2(i + j) + 11<BR>\n" );
document.write( "ij = 2(i + j) + 11<BR>\n" );
document.write( "ij = 2i + 2j + 11<BR>\n" );
document.write( "i(i + 2) = 2i + 2(i + 2) + 11<BR>\n" );
document.write( "ii + 2i = 2i + 2i + 4 + 11<BR>\n" );
document.write( "ii - 2i - 15 = 0<BR>\n" );
document.write( "i^2 - 2i - 15 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the above quadratic equation is in standard form, with a=1, b=-2, and c=-15<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, plug this:<BR>\n" );
document.write( "1 -2 -15<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( "i = 5<BR>\n" );
document.write( "i = -3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the problem statement doesn't prohibit negative integers, so there are two solutions:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "first solution:<BR>\n" );
document.write( "i = 5<BR>\n" );
document.write( "j = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "second solution:<BR>\n" );
document.write( "i = -3<BR>\n" );
document.write( "j = -1<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" );