Originally Posted by

**mark** i'm not actually sure what this question is asking me but i've answered the main part of it. it goes:

a straight line has equation $\displaystyle y = 4x + k$ where k is a constant, and a parabola has equation $\displaystyle y = 3x^2 + 12x + 7$. show that the x coordinate of any points of intersection of the line and the parabola satisfy $\displaystyle 3x^2 + 8x + 7 - k = 0$ hence find the range of values of k for which the line and parabola do not intersect.

i got the second bit and came up with $\displaystyle k < \frac{5}{3}$ which i'm sure is right, but i don't understand what its asking me before it says "hence find the range of values etc"

can someone tell me please?

thanks