document.write( "Question 45574: Consecutive integers. Find three consecutive integers such that the sum of their squares is 77. Please show all work and solution. Thanks. \n" ); document.write( "

Algebra.Com's Answer #30284 by Nate(3500) $\"\"$ $\"About$

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integer = i
\n" ); document.write( "integer = i + 1
\n" ); document.write( "integer = i + 2
\n" ); document.write( " $\"i%5E2+%2B+i%5E2+%2B+2i+%2B+1+%2B+i%5E2+%2B+4i+%2B+4+=+77\"$
\n" ); document.write( " $\"3i%5E2+%2B+6i+-+72+=+0\"$
\n" ); document.write( " $\"i%5E2+%2B+2i+-+24+=+0\"$
\n" ); document.write( " $\"%28i+%2B+6%29%28i+-+4%29+=+0\"$
\n" ); document.write( "i = -6
\n" ); document.write( "-6,-5,-4
\n" ); document.write( "or
\n" ); document.write( "i = 4
\n" ); document.write( "4,5,6 \n" ); document.write( "

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