Question

If `2 + isqrt3` is a root of `x^(3) - 6x^(2) + px + q = 0` (where `p` and `q` are real) then `p + q` is

Answer 1

Correct Answer - `(-4,7)`
If `2+isqrt3` is one of the root of `x^(2)+px+q=0.` Then other root is `2-isqrt3.`
`implies-p=2+isqrt3+2-isqrt3=4`
`and q=(2+isqrt3)(2-isqrt3)=7`
`implies(p,q)=(-4,7)`