document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1177626>Question 1177626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The product of three integers is 90. The second number is twice the first number. The third number is two more than the first number. What are the three numbers? Use a polynomial and the calculator to answer the question.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #806721 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=806721\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The product of three integers is 90.<BR>\n" );
document.write( "let the numbers be x,y,z<BR>\n" );
document.write( "The second number is twice the first number.<BR>\n" );
document.write( "y = 2x\r<BR>\n" );
document.write( "\n" );
document.write( "The third number is two more than the first number. <BR>\n" );
document.write( "z = x+2<BR>\n" );
document.write( "Substitute for y and for z and solve for x<BR>\n" );
document.write( "x(2x)(x+2) = 90<BR>\n" );
document.write( "2x^3+4x^2-90 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^3 + 2x^2 - 45 = 0-<BR>\n" );
document.write( " graph the cubic and you will get a solution   x = 3<BR>\n" );
document.write( " y = 2x = 6<BR>\n" );
document.write( "z = x+2 = 5 </SPAN>\n" );
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