which answer shows the conjugate pair solutions to the equation x^2 - 3x + 8 = -2?

Answer 1

The equation x^2 - 3x + 8 = -2 can be rewritten as x^2 - 3x + 10 = 0. The discriminant of this quadratic equation is b^2 - 4ac = (-3)^2 - 4(1)(10) = 9 - 40 = -31. Since the discriminant is negative, the quadratic equation does not have any real solutions. Therefore, there are no conjugate pair solutions to this equation.