document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130760>Question 130760</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%5E2=12 ALIGN=MIDDLE  ALT=\"4x%5E2=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Find the x-intercepts of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=f%28x%29=4x%5E2-12 ALIGN=MIDDLE  ALT=\"f%28x%29=4x%5E2-12\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #225714 by </B><A HREF=/tutors/aboutme.mpl?userid=janjan440><B>janjan440(1)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=janjan440><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=225714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If we look at the page numbers, we'll notice that they are consecutive integers. So they follow the algebraic form x, x%2B1, x%2B2, etc.\r<BR>\n" );
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document.write( "So if the product of two consecutive integers is 420, then we have the equation\r<BR>\n" );
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document.write( "x%28x%2B1%29=420\r<BR>\n" );
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document.write( "x%5E2%2Bx=420 Distribute\r<BR>\n" );
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document.write( "x%5E2%2Bx-420=0 Subtract 420 from both sides\r<BR>\n" );
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document.write( "%28x%2B21%29%28x-20%29=0 Factor the left side (note: if you need help with factoring, check out this solver)\r<BR>\n" );
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document.write( "Now set each factor equal to zero:<BR>\n" );
document.write( "x%2B21=0 or x-20=0\r<BR>\n" );
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document.write( "x=-21 or x=20 Now solve for x in each case\r<BR>\n" );
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document.write( "So our possible solutions are\r<BR>\n" );
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document.write( "x=-21 or x=20\r<BR>\n" );
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document.write( "However, since a negative page number is not possible, this means that the only solution is x=20\r<BR>\n" );
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document.write( "Now to find the next page number, simply add 1 to 20 to get\r<BR>\n" );
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document.write( "20%2B1=21\r<BR>\n" );
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document.write( "So the two page numbers are 20 and 21\r<BR>\n" );
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document.write( "Check:\r<BR>\n" );
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document.write( "To check this answer, simply multiply the two numbers:\r<BR>\n" );
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document.write( "20%2A21=420\r<BR>\n" );
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document.write( "420=420 </SPAN>\n" );
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