Question 697487
You can use the discriminant to determine the nature of the roots: the discriminant is the part of the quadratic formula under the square root sign; that is, {{{b^2 - 4*a*c}}}. If the discriminant is positive, there are two real roots. If it is zero, there is a single double root. If it is negative, there are two imaginary roots.<br>

Here, a = 1, b = -6 c = 10, so {{{b^2 - 4*a*c = (-6)^2 - 4*(1)*(-10) = -4}}}.<br>

The discriminant is negative, so the equation has two imaginary roots.