document.write( "Question 49034This question is from textbook Beginning Algebra
\n" ); document.write( ": This is a word problem involving radicals. I've answered this type of problem in different ways, but I'm not sure how to do this with squares involved.\r
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\n" ); document.write( "\n" ); document.write( "Find two consecutive positive integers such that the sum of their squares in 85. \n" ); document.write( "

Algebra.Com's Answer #32489 by Nate(3500) $\"\"$ $\"About$

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first integer = i
\n" ); document.write( "second integer = i + 1
\n" ); document.write( "Equation: $\"%28i%29%5E2+%2B+%28i+%2B+1%29%5E2+=+85\"$
\n" ); document.write( " $\"i%5E2+%2B+i%5E2+%2B+2i+%2B+1+=+85\"$
\n" ); document.write( " $\"2i%5E2+%2B+2i+-+84+=+0\"$
\n" ); document.write( " $\"i%5E2+%2B+i+-+42+=+0\"$
\n" ); document.write( " $\"%28i+%2B+7%29%28i+-+6%29+=+0\"$
\n" ); document.write( "i = -7 and i = 6
\n" ); document.write( "Six is the only positive number:
\n" ); document.write( "first integer = i = 6
\n" ); document.write( "second integer = i + 1 = 7
\n" ); document.write( "6 and 7 \n" ); document.write( "

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