Question

6n^2-30n+42 can someone help me

Answer 1

`(5+i√(3))/(2)}`

Explanation:

I assume you want the roots. Here we go:

Use the quadratic formula:
`(-(-30) plus or minus √((-30)^2-4(6)(42)) )/(2\cdot6)`.

The discriminant is 900 - 1008, or -108 (so we will need i, the complex number that means
`√(-1)`).

This means on the top you get 30 + 6isqrt3 and on the bottom you get 12.

So the fraction is
`(30+6i√(3))/(12)=\boxed{(5+i√(3))/(2)}.\blacksquare`

Note: This is just one of the roots, I am sure you can find the second one!