document.write( "Question 1104856: A positive real number is 3 less than another. When 6 times the larger is added to the square of the smaller, the result is 57. Find the numbers. \n" ); document.write( "

Algebra.Com's Answer #719566 by greenestamps(13215) $\"\"$ $\"About$

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\n" ); document.write( "Let the numbers be x and x-3. Then the problem says

\n" ); document.write( " $\"6x+%2B+%28x-3%29%5E2+=+57\"$
\n" ); document.write( " $\"6x+%2B+x%5E2-6x%2B9+=+57\"$
\n" ); document.write( " $\"x%5E2%2B9+=+57\"$
\n" ); document.write( " $\"x%5E2+=+48\"$
\n" ); document.write( " $\"x+=+sqrt%2848%29+=+4%2Asqrt%283%29\"$

\n" ); document.write( "The numbers are $\"4%2Asqrt%283%29\"$ and $\"4%2Asqrt%283%29-3\"$ .

\n" ); document.write( "CHECK:
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