document.write( "Question 682537: The product of two consecutive positive integers is 5 more than their sum. What are the integers? \n" ); document.write( "
Algebra.Com's Answer #423218 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "Let's represent the two consecutive integers as: \n" ); document.write( "x \n" ); document.write( "x+1 \n" ); document.write( "Now we can set up the equation as: \n" ); document.write( "x(x+1)=x+(x+1)+5 \n" ); document.write( "Expand this: \n" ); document.write( "x^2+x=2x+6 \n" ); document.write( "Subtract 2x and 6 to get: \n" ); document.write( "x^2-x-6=0 \n" ); document.write( "Factor: \n" ); document.write( "(x-3)(x+2)=0 \n" ); document.write( "Solve for x: \n" ); document.write( "x=3 \n" ); document.write( "x=-2 \n" ); document.write( "Since we know it's not a negative integer the answer is \n" ); document.write( "3 and 4 \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "www.math-unlock.com \n" ); document.write( " |