document.write( "Question 418526: A negative number is 56 less than its square. Find the number. \n" ); document.write( "
\n" ); document.write( "Hi\n" ); document.write( "Let x represent this negative number\n" ); document.write( "Question states***\n" ); document.write( " x = x^2 -56\n" ); document.write( " Solving for x\n" ); document.write( " x^2 - x -56 = 0\n" ); document.write( "factoring\n" ); document.write( " (x-8)(x+7)= 0 |Note:SUM of the inner product(-8x) and the outer product(7x) = -x\n" ); document.write( " (x-8)=0 x = 8 Tossing out this solution (need negative number)\n" ); document.write( " (x+7)= 0 \n" ); document.write( " x = -7, the negative number\r\n" ); document.write( "\n" ); document.write( "CHECKING our Answer***\n" ); document.write( " -7 = 49-56