Answer:
If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers. The Zero-Product Property states that for all real numbers a and b, if
, then a=0 or b=0.
We can The Zero-Product Property to solve a quadratic equation when we can factor the standard form of the equation. Because when we apply The Zero-Product Property to a factored quadratic equation we can find the x-intercepts of the graph of the related functions. Respectively we can find the solutions to the quadratic equation.