Question 980037


Calculate the discriminant of the quadratic polynomial.


The discriminant is  {{{b^2 - 4ac}}} = {{{5^2 - 4*1*8}}} = 25 - 32 = -7.


Since the discriminant is negative, the equation  {{{x^2 + 5x + 8}}} = {{{0}}}  has two complex roots.  There are no real roots.