Explain how to determine if a \quadratic equation has no real solution.

A \quadratic equation is of the form ax^2 + bx + c = 0, where a, b, and c are constants. To determine if it has no real solution, we can look at the discriminant, which is the expression b^2 - 4ac. If the discriminant is negative, there are no real solutions to the equation. This is because in the \quadratic formula, -b +/- sqrt(b^2 - 4ac)/2a, the square root of a negative number would result in complex solutions. Therefore, if the discriminant is negative, we can conclude that the \quadratic equation has no real solution.