The quadratic formula iswhere and correspond with the values of a quadratic equation written in standard form, It is derived by completing the square on the general standard form equation. The quadratic formula can be used to find solution(s) to quadratic equations.
Use the quadratic formula to solve the equation.
The solutions of a quadratic equation in the form can be interpreted graphically as the zeros of the quadratic function If the function has two zeros, the equation has two solutions, and if the function has one zero, the equation has one solution. If the function doesn't have any zeros, the equation is said to have no real solutions.
In the quadratic formula, the term under the radical sign is called the discriminant.
It's possible to use the discriminant to determine the number of solutions a quadratic equation has. The solutions to a quadratic equation correspond to the zeros of the parabola.
Determine the number of real solutions to the equations without solving them.
It's possible to use the discriminant of the quadratic formula to determine the number of solutions a quadratic equation has. We'll first focus on Since the equation is written in standard form, we can see that and We can substitute these values into the discriminant and simplify.