document.write( "Question 1132277: two positive integers have a sum 0f 17 and a product of 66. What are the integers? \n" ); document.write( "
Algebra.Com's Answer #749256 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! 1) i +j = 17 \n" ); document.write( ": \n" ); document.write( "2) ij = 66 \n" ); document.write( ": \n" ); document.write( "solve equation 1 for i \n" ); document.write( ": \n" ); document.write( "i = 17 -j \n" ); document.write( ": \n" ); document.write( "substitute for i in equation 2 \n" ); document.write( ": \n" ); document.write( "(17 -j)j = 66 \n" ); document.write( ": \n" ); document.write( "17j -j^2 = 66 \n" ); document.write( ": \n" ); document.write( "j^2 -17j +66 = 0 \n" ); document.write( ": \n" ); document.write( "(j-6)(j-11) = 0 \n" ); document.write( ": \n" ); document.write( "j = 6 or j = 11 \n" ); document.write( ": \n" ); document.write( "use equation 1, then if j=6 then i = 17 -6 = 11 and if j=11 then i = 17 -11 = 6 \n" ); document.write( ": \n" ); document.write( "************************************** \n" ); document.write( "the two positive integers are 6 and 11 \n" ); document.write( "************************************** \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |