the curve c has equation y = x squared + 3px + 8p where p is a real constant.

the curve c has equation y = x squared + 3px + 8p where p is a real constant. the straight line L has equation y = 1 - 2x given that L does not intersect C find the set of possible values of p giving your answer in exact form

make x^2 +3px+8p = 1-2x and solve, getting a second grade eq which discriminant must be <0 bc they do not intersect (no real sol). You get 9p^2-20p+8<0. Solve for x and you get 0.523<x<1.699

While you may be correct, please allow the OP to solve it for themselves. Detail the steps involved to solve the question but no mention of numbers or doing the calculation for them.

It's like getting someone to do something for them - they won't learn if you do this.

Also, I haven't actually checked your working but from a first glance, looks ok.

While you may be correct, please allow the OP to solve it for themselves. Detail the steps involved to solve the question but no mention of numbers or doing the calculation for them.

It's like getting someone to do something for them - they won't learn if you do this.

Also, I haven't actually checked your working but from a first glance, looks ok.

Looks like they've removed their post now, but the question asks for exact form, so wouldn't get any marks for a decimal approximation at the end!