document.write( "Question 443997: I am thinking of two consecutive integers. The difference between the square of the larger integer and the square of the smaller integer is 25. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #306169 by swincher4391(1107) $\"\"$ $\"About$

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If you have m^2 - n^2 = 25, and m = n + 1 THEN:
\n" ); document.write( " $\"%28n%2B1%29%5E2+-+n%5E2+=+25\"$
\n" ); document.write( " $\"n%5E2+%2B+2n+%2B+1+-n%5E2+=+25\"$
\n" ); document.write( " $\"2n+%2B+1+=+25\"$
\n" ); document.write( " $\"2n+=+24\"$
\n" ); document.write( " $\"n+=+12\"$
\n" ); document.write( " $\"m+=+12+%2B+1\"$
\n" ); document.write( " $\"m++=+13\"$
\n" ); document.write( "12 and 13. \n" ); document.write( "

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