document.write( "Question 1181174: consider two integers.The first number is three more than five times the second number.the difference of the squares of the 2 numbers is 45. Determine the two numbers \n" ); document.write( "

Algebra.Com's Answer #811009 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Let x be the second number; then the first number is 5x+3.

\n" ); document.write( "The difference between their squares is 45:

\n" ); document.write( " $\"%285x%2B3%29%5E2-x%5E2=45\"$
\n" ); document.write( " $\"25x%5E2%2B30x%2B9-x%5E2=45\"$
\n" ); document.write( " $\"24x%5E2%2B30x-36=0\"$
\n" ); document.write( " $\"4x%5E2%2B5x-6=0\"$
\n" ); document.write( " $\"%284x-3%29%28x%2B2%29=0\"$

\n" ); document.write( "x = 3/4 or x=-2; we want the integer solution.

\n" ); document.write( "ANSWER: x=-2; 5x+3=-7

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