document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115744>Question 115744</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395676088/algebrahomeworkh>Algebra, structure and meathod, book 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> the sum of the squares of two consecutive even integers is 452. find the numbers.<BR>\n" );
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document.write( "the sum of the squares of two consecutive even integers is 452. find the numbers.\r<BR>\n" );
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document.write( "Let two consecutive even integers be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+x%2B2 ALIGN=MIDDLE  ALT=\"y+=+x%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the sum of the squares:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+y%5E2+=+452 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+y%5E2+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%2B2%29%5E2+=+452 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%2B2%29%5E2+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+%28x%5E2+%2B+4x+%2B+4%29+=+452 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+%28x%5E2+%2B+4x+%2B+4%29+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+4x+%2B+4+=+452 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+%2B+4+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >……..move <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=452 ALIGN=MIDDLE  ALT=\"452\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the left to get a standard form of quadratic equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+4x+%2B+4+%96+452+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+%2B+4+%96+452+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >……..\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2+%2B+4x+-+448+=+0 ALIGN=MIDDLE  ALT=\"2x%5E2+%2B+4x+-+448+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >…….. divide by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+2x+-+224+=+0 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+2x+-+224+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >……..use quadratic formula to solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%28-b+%2B-+sqrt+%28b%5E2+-4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%2C2%5D=%28-2+%2B-+sqrt+%282%5E2+-4%2A1%2A%28-224%29+%29%29+%2F+%282%2A1%29 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%28-2+%2B-+sqrt+%282%5E2+-4%2A1%2A%28-224%29+%29%29+%2F+%282%2A1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%2C2%5D=%28-2+%2B-+sqrt+%284+%2B+896%29%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%28-2+%2B-+sqrt+%284+%2B+896%29%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%2C2%5D=%28-2+%2B-+sqrt+%28900%29%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%28-2+%2B-+sqrt+%28900%29%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%2C2%5D=%28-2+%2B-+30%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%2C2%5D=%28-2+%2B-+30%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=%28-2+%2B+30%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%5D=%28-2+%2B+30%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=+28+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B1%5D=+28+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D=+14 ALIGN=MIDDLE  ALT=\"x%5B1%5D=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=%28-2+-+30%29+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D=%28-2+-+30%29+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=+-+32+%2F+2 ALIGN=MIDDLE  ALT=\"x%5B2%5D=+-+32+%2F+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D=+-+16 ALIGN=MIDDLE  ALT=\"x%5B2%5D=+-+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So, if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D+=+14 ALIGN=MIDDLE  ALT=\"x%5B1%5D+=+14\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B1%5D+=+x%2B2=+14+%2B+2=+16 ALIGN=MIDDLE  ALT=\"y%5B1%5D+=+x%2B2=+14+%2B+2=+16\"   DISABLED_style= \"max-width:90%; height:auto;\" >……….1.\r<BR>\n" );
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document.write( "and if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D+=+-16 ALIGN=MIDDLE  ALT=\"x%5B2%5D+=+-16\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%5B2%5D+=+x%2B2=+-16+%2B+2=+-14 ALIGN=MIDDLE  ALT=\"y%5B2%5D+=+x%2B2=+-16+%2B+2=+-14\"   DISABLED_style= \"max-width:90%; height:auto;\" >………2.\r<BR>\n" );
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document.write( "check solutions:\r<BR>\n" );
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document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B1%5D%5E2+%2B+y%5B1%5D%5E2+=+452 ALIGN=MIDDLE  ALT=\"x%5B1%5D%5E2+%2B+y%5B1%5D%5E2+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=14%5E2+%2B+16%5E2+=+452 ALIGN=MIDDLE  ALT=\"14%5E2+%2B+16%5E2+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=196+%2B+256+=+452 ALIGN=MIDDLE  ALT=\"196+%2B+256+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=452+=+452 ALIGN=MIDDLE  ALT=\"452+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5B2%5D%5E2+%2B+y%5B2%5D%5E2+=+452 ALIGN=MIDDLE  ALT=\"x%5B2%5D%5E2+%2B+y%5B2%5D%5E2+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-16%29%5E2+%2B+%28-14%29%5E2+=+452 ALIGN=MIDDLE  ALT=\"%28-16%29%5E2+%2B+%28-14%29%5E2+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=256+%2B+196+=+452 ALIGN=MIDDLE  ALT=\"256+%2B+196+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=452+=+452 ALIGN=MIDDLE  ALT=\"452+=+452\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );