document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=935400>Question 935400</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of 2 numbers is 91. The larger of the 2 numbers is one less than twice the smaller. Find the 2 numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #568610 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=568610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x = larger number<BR>\n" );
document.write( "y = smaller number<BR>\n" );
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document.write( "xy = 91<BR>\n" );
document.write( "x = 2y - 1<BR>\n" );
document.write( "---<BR>\n" );
document.write( "xy = 91<BR>\n" );
document.write( "(2y - 1)y = 91<BR>\n" );
document.write( "2yy - y - 91 = 0<BR>\n" );
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document.write( "the above quadratic equation is in standard form, with a=2, b=-1 and c=-91<BR>\n" );
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document.write( "to solve the quadratic equation, by using the quadratic formula, copy and paste this:<BR>\n" );
document.write( "2 -1 -91<BR>\n" );
document.write( "into this solver: https://sooeet.com/math/quadratic-equation-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the quadratic has two real roots at:<BR>\n" );
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document.write( "y = 7<BR>\n" );
document.write( "y = -6.5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "the negative root doesn't fit the problem statement, so use the positive root:<BR>\n" );
document.write( "---<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "x = 2y - 1<BR>\n" );
document.write( "x = 2*7 - 1<BR>\n" );
document.write( "x = 13<BR>\n" );
document.write( "---<BR>\n" );
document.write( "or<BR>\n" );
document.write( "y = -6.5<BR>\n" );
document.write( "x = 2y - 1<BR>\n" );
document.write( "x = 2*(-6.5) - 1<BR>\n" );
document.write( "x = -14<BR>\n" );
document.write( "in this case x is smaller than y, and if we reverse the roles of x and y, (x=-6.5 and y=-14), the numbers don't fit the problem statement (x = 2y - 1 is not true)<BR>\n" );
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document.write( "answer:<BR>\n" );
document.write( "x = 13<BR>\n" );
document.write( "y = 7<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Free algebra tutoring live chat:<BR>\n" );
document.write( "https://sooeet.com/chat.php?gn=algebra<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 with quadratic formula:<BR>\n" );
document.write( "https://sooeet.com/math/quadratic-formula-solver.php<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Solve systems of linear equations up to 6-equations 6-variables:<BR>\n" );
document.write( "https://sooeet.com/math/system-of-linear-equations-solver.php<BR>\n" );
document.write( "--- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );