Question

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

Answer 1

Answer:

$\frac{5+i\sqrt{3}}{2}}$

Step-by-step explanation:

I assume you want the roots. Here we go:

Use the quadratic formula: $\frac{-(-30) plus or minus \sqrt{(-30)^2-4(6)(42)} }{2\cdot6}$.

The discriminant is 900 - 1008, or -108 (so we will need i, the complex number that means $\sqrt{-1}$).

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

So the fraction is $\frac{30+6i\sqrt{3}}{12}=\boxed{\frac{5+i\sqrt{3}}{2}}.\blacksquare$

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