document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895789>Question 895789</A>: <I><SPAN STYLE=\"word-break: break-all;\"> \"find two consecutive positive integers such that the square of the first is decreased by 17 equals 4 time the second.\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #543021 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=543021\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x is the first number.<BR>\n" );
document.write( "x+1 is the second number.\r<BR>\n" );
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document.write( "your equation becomes:\r<BR>\n" );
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document.write( "x^2 - 17 = 4*(x+1)\r<BR>\n" );
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document.write( "simplify this equation to get:\r<BR>\n" );
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document.write( "x^2 - 17 = 4x + 4\r<BR>\n" );
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document.write( "subtract 4x and subtract 4 from both sides of this equation to get:\r<BR>\n" );
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document.write( "x^2 - 17 - 4x - 4 = 0\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "x^2 - 4x - 21 = 0\r<BR>\n" );
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document.write( "factor to get:\r<BR>\n" );
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document.write( "(x-7) * (x+3) = 0\r<BR>\n" );
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document.write( "solve for x to get:\r<BR>\n" );
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document.write( "x = 7 or x = -3\r<BR>\n" );
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document.write( "x has to be a positive integer so your solution appears to be 7.\r<BR>\n" );
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document.write( "first number is 7<BR>\n" );
document.write( "second number is 8\r<BR>\n" );
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document.write( "7^2 - 17 = 49 - 17 = 32<BR>\n" );
document.write( "4*8 = 32<BR>\n" );
document.write( "first number squared minus 17 is equal to 4 times the second number so your solution is good.\r<BR>\n" );
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document.write( "solution is x = 7.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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