document.write( "Question 154672: consecutive integers . find three consecutive integers such that the sum of their square is 77 \n" ); document.write( "
Algebra.Com's Answer #113897 by ankor@dixie-net.com(22740)\"\" \"About 
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The 3 consecutive integers: x, x+1, x+2
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\n" ); document.write( "find three consecutive integers such that the sum of their squares is 77
\n" ); document.write( "x^2 + (x+1)^2 + (x+2)^2 = 77
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + (x^2 + 2x + 1) + (x^2 + 4x + 4) = 77
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\n" ); document.write( "x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 77;
\n" ); document.write( "Group like terms
\n" ); document.write( "x^2 + x^2 + x^2 + 2x + 4x + 1 + 4 = 77
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\n" ); document.write( "3x^2 + 6x + 5 = 77
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\n" ); document.write( "3x^2 + 6x + 5 - 77 = 0
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\n" ); document.write( "3x^2 + 6x - 72 = 0
\n" ); document.write( "Simplify divide by 3
\n" ); document.write( "x^2 + 2x - 24 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x+6)(x-4) = 0
\n" ); document.write( "Two solutions:
\n" ); document.write( "x = -6 and x = +4
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\n" ); document.write( "Our consecutive numbers:
\n" ); document.write( "-6, -5, -4
\n" ); document.write( "and
\n" ); document.write( "4, 5, 6 \n" ); document.write( "
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