How many integers satisfy the inequality x(3x-4) is less than or equal to 6x^2-3x+5/10
Perhaps you mean (6x^2- 3x+ 5)/10? Saying that is the same as saying which in turn is the same as . You can use the quadratic formula to determine where that polynoial is equal to 0. It will be less than 0 between those two values so it is only necessary to determine how many integers there are between the two roots of .