document.write( "Question 229901: What are two consecutive odd whole numbers such that the sum of their squares is 130? \n" ); document.write( "
Algebra.Com's Answer #170350 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! What are two consecutive odd whole numbers such that the sum of their squares is 130? \n" ); document.write( ": \n" ); document.write( "x^2 + (x+2)^2 = 130 \n" ); document.write( "FOIL \n" ); document.write( "x^2 + x^2 + 4x + 4 = 130 \n" ); document.write( ": \n" ); document.write( "2x^2 + 4x + 4 - 130 = 0 \n" ); document.write( ": \n" ); document.write( "2x^2 + 4x - 126 = 0 \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "x^2 + 2x - 63 = 0 \n" ); document.write( "Factor \n" ); document.write( "(x+9)(x-7) = 0 \n" ); document.write( "Two solutions \n" ); document.write( "x = 7 and 9 \n" ); document.write( "and \n" ); document.write( "x = -9 and -7 \n" ); document.write( ": \n" ); document.write( "Check both solutions in the original equation \n" ); document.write( " |