Question 715456
The discriminant, in general, is {{{b^2-4ac}}}. If the value of the discriminant is...<ul><li>positive, then there are two distinct real roots</li><li>negative, then there to two distinct complex roots</li><li>zero, then there is one (double) real root</li></ul>The discriminant for your equation is {{{(5)^2-4(7)(1) = 25 - 4(7)(1) = 25 - 28 = -3}}}. So there are two complex roots.