document.write( "Question 972765: The Difference between two numbers is 3.If the Square of the smaller number is equal to 4 times larger number,find the numbers\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #595251 by macston(5194) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "x=larger number; y=smaller number
\n" ); document.write( " $\"x-y=3\"$
\n" ); document.write( " $\"x=3%2By\"$ Use this to substitute for x.
\n" ); document.write( ".
\n" ); document.write( " $\"y%5E2=4x\"$ Substitute for x.
\n" ); document.write( " $\"y%5E2=4%283%2By%29\"$
\n" ); document.write( " $\"y%5E2=12%2B4y\"$
\n" ); document.write( " $\"y%5E2-4y-12=0\"$
\n" ); document.write( " $\"%28y-6%29%28y%2B2%29=0\"$
\n" ); document.write( " $\"y-6-0\"$ $\"or\"$ $\"y%2B2=0\"$
\n" ); document.write( " $\"y=6\"$ $\"or\"$ $\"y=-2\"$
\n" ); document.write( " $\"x=3%2By\"$
\n" ); document.write( " $\"x=3%2B6\"$ $\"or\"$ $\"x=3%2B%28-2%29\"$
\n" ); document.write( " $\"x=9\"$ $\"or\"$ $\"x=1\"$
\n" ); document.write( "ANSWER: The larger number is 9 and the smaller is 6 or the larger is 1 and the smaller is -2. \n" ); document.write( "

\n" );