document.write( "Question 175328: I confused trying to solve 2x^2-5x-3>=0. i think you begin by adding 3 to both sides but then having the exponet is throwing me off. i dont know what to do after that. If you could please explain it would be much appreciated. thanks! \n" ); document.write( "
Algebra.Com's Answer #130417 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! 2x^2-5x-3>=0---------------------eq1 \n" ); document.write( "(2x+1)(x-3)>=0 \n" ); document.write( "Now our drill here is to determine the range of values for x that makes (2x+1)(x-3)>=0. In other words (2x+1)(x-3) has to be either zero or (-)(-) or (+)(+) \n" ); document.write( "We can see by inspection that if x>=3, then \n" ); document.write( "(2x+1)(x-3) is either 0 or positive(+)(+) and eq1 inequality is correct \n" ); document.write( "We can also see by inspection that if x<=-1/2, then \n" ); document.write( "(2x+1)(x-3) is either 0 or positive(-)(-)and eq1 inequality is correct\r \n" ); document.write( "\n" ); document.write( "So, our answer is: \n" ); document.write( "x>=3 or x<=-1/2\r \n" ); document.write( "\n" ); document.write( "This is one of many ways to solve quadratic inequalities\r \n" ); document.write( "\n" ); document.write( "Does this help?----ptaylor \n" ); document.write( " |