document.write( "Question 543693: can you please help me with this : the difference of the squares of two consecutive odd numbers is 64? \n" ); document.write( "
Algebra.Com's Answer #354900 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! Two consecutive odd numbers can be defined as: x and x+2. \n" ); document.write( "(x+2)^2 - x^2 = 64 \n" ); document.write( "x^2 +4x + 4 -x^2 = 64 \n" ); document.write( "4x = 60 \n" ); document.write( "x = 15 \n" ); document.write( "x + 2 = 17 \n" ); document.write( "Check \n" ); document.write( "17^2 = 289 \n" ); document.write( "15^2 = 225 \n" ); document.write( "289-225 = 64 \n" ); document.write( "Correct. \n" ); document.write( ". \n" ); document.write( "Answer: The two numbers are 15 and 17. \n" ); document.write( ". \n" ); document.write( "Done. \n" ); document.write( " |