An equation whose discriminant is negative has how many real solutions?

1. The discriminant sits under a square root in the formula. 2. When the discriminant is positive the equation has two solutions. 3. When the discriminant is zero the equation has one solution. 4. A negative discriminant would require the square root of a negative number. 5. In one worked example there was no real solution for exactly that reason. _Source: OpenStax Elementary Algebra 2e (CC BY 4.0), Ch 10 'Quadratic Equations', sections 10.1-10.5_