document.write( "Question 101413: solve 2x^2-3x-14=0 \n" ); document.write( "
Algebra.Com's Answer #73884 by oberobic(2304)![]() ![]() ![]() You can put this solution on YOUR website! The first approach is to try to factor it.\r \n" ); document.write( "\n" ); document.write( "You know you will have: (2x )(x ) for the x terms. And since the constant is negative, one of the factors will have a - and the other will have a +.\r \n" ); document.write( "\n" ); document.write( "You know that 14 = 2 * 7, which are your only choices.\r \n" ); document.write( "\n" ); document.write( "So the only choices are \n" ); document.write( "(2x + 2)(x - 7) \n" ); document.write( "(2x - 2)(x + 7) \n" ); document.write( "(2x + 7)(x - 2) \n" ); document.write( "(2x - 7)(x + 2)\r \n" ); document.write( "\n" ); document.write( "You're looking to the -3x, which is:'\r \n" ); document.write( "\n" ); document.write( "(2x - 7)(x + 2)\r \n" ); document.write( "\n" ); document.write( "ALWAYS check! \n" ); document.write( "(2x - 7)(x + 2) = 2x*x + 2x*2 - 7*x - 7*2 = 2x^2 + 4x - 7x - 14 = 2x^2 - 3x - 14. \n" ); document.write( " |