You calculate the value of the discriminant. If the answer is less that zero, that is, if the answer has a minus sign in front then it is negative.
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By calculating the discriminant of the equation and if it's negative the equation will have no solutions
Two
If the discriminant is a perfect square, it makes calculation easy on paper. Otherwise, the only property of the discriminant that matters is whether it is positive, negative or zero.
Two complex solutions.
If the discriminant is positive, as in this case, there are two real solutions.Also: * If the discriminant is zero, there is one real solution, considered to be a "double solution" because of the way polynomials are factored. * If the discriminant is negative, there are two complex solutions, which are complex and non-real.