document.write( "Question 674341: Find two consecutive positive integers such that the sum of their squares is 145. \n" ); document.write( "

Algebra.Com's Answer #419169 by josmiceli(19441) $\"\"$ $\"About$

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Let the consecutive integers be $\"+n+\"$ and $\"+n+%2B+1+\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"+n%5E2+%2B+%28+n+%2B+1+%29%5E2++=+145+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n%5E2+%2B+2n+%2B+1+=+145+\"$
\n" ); document.write( " $\"+2n%5E2+%2B+2n+-+144+=+0+\"$
\n" ); document.write( " $\"+n%5E2+%2B+n+-+72+=+0+\"$
\n" ); document.write( "I can see that this is
\n" ); document.write( " $\"+%28+n+%2B+9+%29%2A%28+n+-+8+%29+=+0+\"$
\n" ); document.write( " $\"+n+=+8+\"$ is the positive answer
\n" ); document.write( " $\"+n+%2B+1+=+9+\"$
\n" ); document.write( "The numbers are 8 and 9
\n" ); document.write( "check:
\n" ); document.write( " $\"+8%5E2+%2B+9%5E2+=+64+%2B+81+\"$
\n" ); document.write( " $\"+64+%2B+81+=+145+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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