document.write( "Question 211833: The product of two consecutive odd integers is 1 less than four times their sum.
\n" );
document.write( "Find the two integers. \n" );
document.write( "
Algebra.Com's Answer #160042 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! Let x, x+2 be consecutive integers \n" ); document.write( ". \n" ); document.write( "(x)(x+2) = 4(x+x+2) -1 = 4(2x+2)-1 \n" ); document.write( ". \n" ); document.write( "x^2 +2x = 8x +8 -1 \n" ); document.write( ". \n" ); document.write( "x^2 -6x -7 =0 \n" ); document.write( ". \n" ); document.write( "(x-7)(x+1) = 0 \n" ); document.write( ". \n" ); document.write( "x+7,,,,-1 \n" ); document.write( ". \n" ); document.write( "consecutive integers,,7,9,,,,,-1,1 \n" ); document.write( ". \n" ); document.write( "check,,,(7,9),,,7*9 = 4(7+9) -1 = 63,,,,ok \n" ); document.write( ". \n" ); document.write( "(-1,1),,,,,-1*1 = 4(-1+1) -1 = -1,,,,ok \n" ); document.write( ". \n" ); document.write( " |