document.write( "Question 995241: One number is four more than the other. The square of the smallest number increased by three times the larger is 66. Find the two numbers \n" ); document.write( "

Algebra.Com's Answer #614147 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "S=smaller number; L=larger number=S+4
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\n" ); document.write( " $\"S%5E2%2B3L=66\"$
\n" ); document.write( " $\"S%5E2%2B3%28S%2B4%29=66\"$
\n" ); document.write( " $\"S%5E2%2B3S%2B12=66\"$
\n" ); document.write( " $\"S%5E2%2B3S-54=0\"$
\n" ); document.write( " $\"%28S%2B9%29%28S-6%29=0\"$
\n" ); document.write( " $\"S%2B9=0\"$ $\"OR\"$ $\"S-6=0\"$
\n" ); document.write( " $\"S=-9\"$ $\"OR\"$ $\"S=6\"$
\n" ); document.write( ".
\n" ); document.write( "L=S+4
\n" ); document.write( "L=-9+4 OR L=6+4
\n" ); document.write( "L=-5 OR L=10
\n" ); document.write( ".
\n" ); document.write( "ANSWER: The two numbers are -9 and -5 or 6 and 10.
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