if the line x-y=4k+2 does not meet the curve y=k(x+1)(x-3), find the range of values of k.
someone please help me step by steps..
If you need another hint: rearrange the above equation to form a quadratic of the form $\displaystyle ax^2 - bx + c = 0$.
For there to be no solution, the discriminant must be less than 0. That is, you are looking for the values of k such that $\displaystyle \Delta = b^2 - 4ac < 0$