document.write( "Question 889086: one positvie integer is 4 less than twice another. The sum of their squares in 100. What are the two integers. \n" ); document.write( "

Algebra.Com's Answer #537956 by Fombitz(32388) $\"\"$ $\"About$

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$\"A=2B-4\"$
\n" ); document.write( " $\"A%5E2%2BB%5E2=100\"$
\n" ); document.write( "Substitute from the first equation into the second,
\n" ); document.write( " $\"%282B-4%29%5E2%2BB%5E2=100\"$
\n" ); document.write( " $\"4B%5E2-16B%2B16%2BB%5E2-100=0\"$
\n" ); document.write( " $\"5B%5E2-16B-84=0\"$
\n" ); document.write( " $\"%285B%2B14%29%28B-6%29=0\"$
\n" ); document.write( "We're only interested in the integer solution.
\n" ); document.write( " $\"B-6=0\"$
\n" ); document.write( " $\"highlight%28B=6%29\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"A=2%286%29-4\"$
\n" ); document.write( " $\"A=12-4\"$
\n" ); document.write( " $\"highlight%28A=8%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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