Algebra.Com's Answer #592443 by Boreal(15235)![\"\"](\"/images/stars/stars-13.gif\")  You can put this solution on YOUR website! 0> x^2 -x \n" ); document.write( "I like the form x^2 - x <0\r \n" ); document.write( "\n" ); document.write( "Factor out x \n" ); document.write( "x(x-1) <0 \n" ); document.write( " \n" ); document.write( "x<0 doesn't work, since all squares are positive,\r \n" ); document.write( "\n" ); document.write( "x-1 < 0; x< 1\r \n" ); document.write( "\n" ); document.write( "That works until 0 is reached, so the interval that works is (0,1). When fractions under 1 are squared, they become less than the original number. (1/2) ^2= (1/4).\r \n" ); document.write( "\n" ); document.write( "Note: While dividing by x at the beginning gives you the correct answer, it removes one other root from consideration, so move all the variables to one side. \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |