document.write( "Question 113493: The product of two consecutive even intergers is 360. Find the intergers. \n" ); document.write( "
Algebra.Com's Answer #82555 by Adam(64)![]() ![]() ![]() You can put this solution on YOUR website! I suppose that by sonsecutive you mean consecutive in terms of even nubers.Then we are looking for two numbers 2n and 2n+2 whoose product should be 360. Thus we have 2n*(2n+2) = 360.We could solve for n now, but we are not interested in n we need to know, what 2n equals. So we'll make substitution 2n = x, concluding with x*(x+2)=360. This can be easily solved for x, which yields two solutions 18 and -20. By adding +2 we have second numbers 20 and -18. \n" ); document.write( "That means there are two pairs of numbers possible => \n" ); document.write( "18 : 20 \n" ); document.write( "-18 : -20\r \n" ); document.write( "\n" ); document.write( "Adam \n" ); document.write( " |