document.write( "Question 931192: the product of a number and the number increased by 4 is 96. find the two possible answers for the number \n" ); document.write( "
Algebra.Com's Answer #565482 by ptfile(81)![]() ![]() You can put this solution on YOUR website! Let x = the smaller number \n" ); document.write( " x+4 = the larger number\r \n" ); document.write( "\n" ); document.write( "The product of a number and the number increased by 4 is 96. \n" ); document.write( " (x)(x+4) = 96 \n" ); document.write( " x^2+4x = 96 \n" ); document.write( " x^2+4x-96 = 0 \n" ); document.write( "(x+12)(x-8)= 0 \r \n" ); document.write( "\n" ); document.write( "x=-12 and 8\r \n" ); document.write( "\n" ); document.write( "Substitute x for -12 \n" ); document.write( "(-12)((-12)+4) = 96 \n" ); document.write( " (-12)(-8) = 96 \n" ); document.write( " 96 = 96\r \n" ); document.write( "\n" ); document.write( "Substitute x for 8 \n" ); document.write( " (8)(8+4) = 96 \n" ); document.write( " (8)(12) = 96 \n" ); document.write( " 96 = 96\r \n" ); document.write( "\n" ); document.write( "The possible numbers are -12,-8 and 8,12. \n" ); document.write( " \n" ); document.write( " |