Question

x^2-2x+8=0 determin the nature of the solutions of the equation
i have that it has one real solution

Answer 1

A quadratic in x has two solutions (one may be repeated).

The solutions may be complex, if they are, they come in conjugate pairs.

So either u have 2 real (possibly repeated) roots or 2 complex roots.

Answer 2

U can see this by examining the quadratic formula

Answer 3

ok

Answer 4

both of it's roots are complex. they are called conjugate.