document.write( "Question 283300: the product of two consecutive positive odd integers is one less than three times their sum. find the integers. \n" ); document.write( "
Algebra.Com's Answer #205674 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the number be x\r \n" ); document.write( "\n" ); document.write( "the second number will be x+2\r \n" ); document.write( "\n" ); document.write( "the product will be x(x+2)\r \n" ); document.write( "\n" ); document.write( " three times the sum less 1 = 3(x+x+2)-1\r \n" ); document.write( "\n" ); document.write( "x(x+2)=3(2x+2)-1\r \n" ); document.write( "\n" ); document.write( "x^2+2x=6x+6-1\r \n" ); document.write( "\n" ); document.write( "x^2+2x-6x=+6-1\r \n" ); document.write( "\n" ); document.write( "x^2-4x=+5\r \n" ); document.write( "\n" ); document.write( "x^2-4x-5=0\r \n" ); document.write( "\n" ); document.write( "x^2-5x+x-5=0\r \n" ); document.write( "\n" ); document.write( "x(x-5)+1(x-5)=0\r \n" ); document.write( "\n" ); document.write( "(x+1)(x-5)=0\r \n" ); document.write( "\n" ); document.write( "x=-1 or 5 \r \n" ); document.write( "\n" ); document.write( "So 5 & 7 are the numbers \n" ); document.write( " |