document.write( "Question 784796: Find two consecutive integers whose product is 56. \n" ); document.write( "
Algebra.Com's Answer #477232 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = first integer, x+1 is the next consecutive integer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x*(x+1) = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + x = 56\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x^2 + x - 56 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x+8)(x-7) = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x+8 = 0 or x-7 = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = -8 or x = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the two integers are\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "7 and 8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "OR\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-8 and -7 \n" ); document.write( " |