document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=958429>Question 958429</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find three consecutive integers such that the square of the smallest increased by four times the largest is five. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #585755 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=585755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your smallest number is x<BR>\n" );
document.write( "your next smallest number is x + 1<BR>\n" );
document.write( "your largest number is x + 2\r<BR>\n" );
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document.write( "the square of the smallest increased by 4 times the largest is equal to 5 means:\r<BR>\n" );
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document.write( "x^2 + 4 * (x + 2) = 5\r<BR>\n" );
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document.write( "x is the smallest.<BR>\n" );
document.write( "x + 2 is the largest.\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 + 4x + 8 = 5\r<BR>\n" );
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document.write( "subtract 5 from both sides of this equation to get:\r<BR>\n" );
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document.write( "x^2 + 4x + 3 = 0\r<BR>\n" );
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document.write( "factor this quadratic equation to get:\r<BR>\n" );
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document.write( "x = -3<BR>\n" );
document.write( "x = 1\r<BR>\n" );
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document.write( "both of those values of x will satisfy the requirements of the problem.\r<BR>\n" );
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document.write( "when x = -3, x + 2 = -1.\r<BR>\n" );
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document.write( "x^2 + 4 * (x + 2) becomes (-3)^2 + 4 * (-1) which becomes 9 - 4 which becomes 5.\r<BR>\n" );
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document.write( "when x = -1, x + 2 = 1.\r<BR>\n" );
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document.write( "x^2 + 4 * (x + 2) becomes (-1)^2 + 4 * (1) which becomes 1 + 4 which becomes 5.\r<BR>\n" );
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document.write( "both x = -3 and x = -1 satisfy the requirements of the problems.\r<BR>\n" );
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document.write( "they are your solutions.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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