It has two complex solutions.
Chat with our AI personalities
If the discriminant is negaitve, there are no "real" solutions. The solutions are "imaginary".
As stated in the attached link, there are three possible discriminant conditions: Positive, Zero, or Negative. If the discriminant is negative, there are no real solutions but there are two imaginary solutions. So, yes there are solutions if the discriminant is negative. The solutions are imaginary, which is perfectly acceptable as solutions.
No real roots but the roots are a pair of complex conjugates.
If the discriminant of a quadratic equation is zero then it has two identical roots.
With the standard notation, If b2 < 4ac then the discriminant is negative If b2 = 4ac then the discriminant is zero If b2 > 4ac then the discriminant is positive