I was given this problem at school to look at home as a challenge, after spending a good 2 hours on this I can't seem to get further than the last part of the equation. I'd love to see the way to get through 2) before tomorrow's lesson as a head start.
So the problem is as follows:
1) Quadratic Equation $$2x^2 + 8x + 1 = 0$$
i. Find roots $$\alpha + \beta$$
ii. Find roots $$\alpha\beta$$
2) Find an Equation with integer coefficients who's roots are:
I'm completely puzzled on the second part of the question and I've tried following the method I was taught. Sorry if formatting is a bit off, first time posting here :)
Thanks in advance for any help!