document.write( "Question 252354: The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers \n" ); document.write( "
Algebra.Com's Answer #184217 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The sum of the squares of two consecutive positive odd numbers is 650 . Find the numbers \n" ); document.write( "-------------- \n" ); document.write( "The easy way: \n" ); document.write( "650/2 = 325 \n" ); document.write( "sqrt(325) =~ 18 \n" ); document.write( "--> 17 and 19 \n" ); document.write( "--------------- \n" ); document.write( "The hard way: \n" ); document.write( "x^2 + (x+2)^2 = 650 \n" ); document.write( "2x^2 + 4x + 4 = 650 \n" ); document.write( "x^2 + 2x - 323 = 0 \n" ); document.write( "(x-17)*(x+19) = 0 \n" ); document.write( "x = 17 \n" ); document.write( "--> 17 & 19 \n" ); document.write( " \n" ); document.write( " |