document.write( "Question 1102793: The sum of two integers is 10, and the sum of their squares is 250. Find the two integers. Only an algebraic solution will be accepted. \n" ); document.write( "

Algebra.Com's Answer #717529 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
(1) $\"+x+%2B+y+=+10+\"$
\n" ); document.write( "(2) $\"+x%5E2+%2B+y%5E2+=+250+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(1) $\"+y+=+10+-+x+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+x%5E2+%2B+%28+10+-+x+%29%5E2+=+250+\"$
\n" ); document.write( "(2) $\"+x%5E2+%2B+100+-+20x+%2B+x%5E2+=+250+\"$
\n" ); document.write( "(2) $\"+2x%5E2+-+20x+-+150+=+0+\"$
\n" ); document.write( "(2) $\"+x%5E2+-+10x+-+75+=+0+\"$
\n" ); document.write( "(2) $\"+%28+x+-+15+%29%2A%28+x+%2B+5+%29+=+0+\"$ ( by looking at it )
\n" ); document.write( " $\"+x+-+15+=+0+\"$
\n" ); document.write( " $\"+x+=+15+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+x+%2B+y+=+10+\"$
\n" ); document.write( "(1) $\"+15+%2B+y+=+10+\"$
\n" ); document.write( "(1) $\"+y+=+-5+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"+x%5E2+%2B+y%5E2+=+250+\"$
\n" ); document.write( "(2) $\"+15%5E2+%2B+%28-5%29%5E2+=+250+\"$
\n" ); document.write( "(2) $\"+225+%2B+25+=+250+\"$
\n" ); document.write( "(2) $\"+250+=+250+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "The integers are 15 and -5
\n" ); document.write( " \n" ); document.write( "

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