Enter the coefficients a, b, and c into the calculator to determine the solutions of the quadratic equation.
Zero Product Property Formula
The following formula is used to calculate the solutions of a quadratic equation using the Zero Product Property.
If ax^2 + bx + c = 0, then x = [-b ± sqrt(b^2 - 4ac)] / 2a
Variables:
- x are the solutions of the quadratic equation a, b, c are coefficients of the quadratic equation sqrt denotes the square root function
To calculate the solutions of the quadratic equation, first calculate the discriminant, which is the value under the square root (b^2 - 4ac). If the discriminant is positive, there are two distinct solutions. If it is zero, there is one solution. If it is negative, there are no real solutions. The solutions are given by the formula [-b ± sqrt(b^2 - 4ac)] / 2a.
What is a Zero Product Property?
The Zero Product Property is a mathematical rule that states if the product of two factors is zero, then at least one of the factors must be zero. This property is often used in algebra to solve equations, as it allows for the setting of each factor equal to zero and solving for the variable, thus finding the roots or solutions of the equation.
