document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1029131>Question 1029131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find three even consecutive integers such that the sum of the squares of the first and second integers is equal to the square of the third integer plus 48.<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 #644186 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=644186\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let three even consecutive integers be x , x+2,x+4\r<BR>\n" );
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document.write( "such that the sum of the squares of the first and second integers\r<BR>\n" );
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document.write( "x^2+(x+2)^2\r<BR>\n" );
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document.write( " is equal to the square of the third integer plus 48.<BR>\n" );
document.write( "(x+4)^2\r<BR>\n" );
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document.write( "x^2+(x+2)^2=(x+4)^2+48\r<BR>\n" );
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document.write( "x^2+x^2+4x+4 =x^2+8x+16+48\r<BR>\n" );
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document.write( "x^2-4x-60=0\r<BR>\n" );
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document.write( "x^2-10x+6x-60=0\r<BR>\n" );
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document.write( "x(x-10)+6(x-10)=0\r<BR>\n" );
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document.write( "(x-10)(x+6)=0\r<BR>\n" );
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document.write( "x=-6 OR x=10\r<BR>\n" );
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document.write( "-6,-4,-2\r<BR>\n" );
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document.write( "OR\r<BR>\n" );
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document.write( "10,12,14 </SPAN>\n" );
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