document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299771>Question 299771</A>: <I><SPAN STYLE=\"word-break: break-all;\">  Solve using the five-step problem-solving process. Show all steps necessary to arrive at your solution.\r<BR>\n" );
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document.write( "The product of two consecutive positive odd integers is one less than twice their sum. Find the integers. show work  I am really confused with this please help me!!!\r<BR>\n" );
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document.write( "thanks <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215292 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=215292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The product of two consecutive positive odd integers is one less than twice their sum.<BR>\n" );
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document.write( "Note: Odd integers are always one less than<BR>\n" );
document.write( "or one more than an even integer.<BR>\n" );
document.write( "Even integers are always a multiple of 2.<BR>\n" );
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document.write( "Your Problem:<BR>\n" );
document.write( "1st: 2x-1<BR>\n" );
document.write( "2nd: 2x+1<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "product = 2(sum) - 1<BR>\n" );
document.write( "(2x-1)(2x+1) = 2(2x-1+2x+1)-1<BR>\n" );
document.write( "4x^2-1 = 2(4x) -1<BR>\n" );
document.write( "4x^2 = 8x<BR>\n" );
document.write( "4x(x-2) = 0<BR>\n" );
document.write( "x = 0 or x = 2<BR>\n" );
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document.write( "If x = 0:<BR>\n" );
document.write( "1st = 2x-1 = -1<BR>\n" );
document.write( "2nd = 2x+1 = 1<BR>\n" );
document.write( "Since you want \"positive odd integers\", x = 0 is not a solution.<BR>\n" );
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document.write( "If x = 2:<BR>\n" );
document.write( "1st = 2x-1 = 3<BR>\n" );
document.write( "2nd = 2x+1 = 5<BR>\n" );
document.write( "This pair is the only solution.\r<BR>\n" );
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document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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