Question

How do you find the zeros, real and imaginary, of `y=x^2-x+17` using the quadratic formula?

Answer 1

Calculate `Delta = b^2 - 4ac` in order to know if which field the roots are in. The roots here are `(1 +- isqrt67)/2`

Explanation:

Here, `Delta = 1 - 4*17 = -67` so this polynomial has 2 complex roots.

By the quadratic formula, the roots are given by the formula `(-b +- sqrtDelta)/2a`.

So `x_1 = (1 - isqrt67)/2` and `x_2 = bar(x_1)`.