document.write( "Question 1150395: The sum of two integers is 7 and the sum of their squares is 37. Find the integers. \n" ); document.write( "

Algebra.Com's Answer #771783 by greenestamps(13215) $\"\"$ $\"About$

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\n" ); document.write( "Given that the sum of the two integers is 7, let the two integers be x and (7-x). Then

\n" ); document.write( " $\"%28x%29%5E2%2B%287-x%29%5E2+=+37\"$
\n" ); document.write( " $\"x%5E2%2B49-14x%2Bx%5E2+=+37\"$
\n" ); document.write( " $\"2x%5E2-14x%2B12+=+0\"$
\n" ); document.write( " $\"x%5E2-7x%2B6+=+0\"$
\n" ); document.write( " $\"%28x-6%29%28x-1%29+=+0\"$

\n" ); document.write( "x = 6 and 7-x = 1; or x=1 and 7-x = 6.

\n" ); document.write( "Either way, the two integers are 6 and 1.

\n" ); document.write( "Of course, if a formal algebraic solution is not required, you can find the answer in practically no time by trial and error.

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