document.write( "Question 885468: please help me to solve this equation; 2x^2-x<0 \n" ); document.write( "
Algebra.Com's Answer #535217 by Theo(13342)![]() ![]() You can put this solution on YOUR website! set the equation equal to 0 and solve for x. \n" ); document.write( "you get: \n" ); document.write( "2x^2 - x = 0 \n" ); document.write( "factor out an x to get: \n" ); document.write( "x * (2x - 1) = 0 \n" ); document.write( "x will be equal to 0 or x will be equal to 1/2. \n" ); document.write( "evaluate the equation when x is less than 0. \n" ); document.write( "you will find that 2x^2 - x is positive. \n" ); document.write( "evaluate the equation when x is greater than 1/2. \n" ); document.write( "you will find that 2x^2 - x is positive. \n" ); document.write( "evaluate the equation when x is greater than 0 and less than 1/2. \n" ); document.write( "you will find that 2x^2 - x is negative. \n" ); document.write( "the expression os 2x^2 - x is less than 0 when x is greater than 0 and less than 1/2. \n" ); document.write( "a grph of your equation is shown below: \n" ); document.write( " ![]() \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |