The quadratic equation is used to find the intercepts of a function (F(x)=x^(2*n), n being an even number) along its primary axis (typically the x axis). Many equations follow this form. The information given by the quadratic equation depends on what your function is pertaining to. If say you have a velocity vs time graph, when the function crosses the xaxis your particle has changed from a positive velocity to a negative velocity. This information can be useful to determine the accompanying behavior of your position. The quadratic equation is simply a tool to find intercepts of a function.
In problems of motion, especially involving constant acceleration, a quadratic equation will from the formulas of motion to solve for time, usually. This is just one example.
you use the quadratic formula in math when the quadratic equation you are solving cannot be factored.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
Set the equation equal to zero. 3x2 - x = -1 3x2 - x + 1 = 0 The equation is quadratic, but can not be factored. Use the quadratic equation.
The quadratic formula can be used to find the solutions of a quadratic equation - not a linear or cubic, or non-polynomial equation. The quadratic formula will always provide the solutions to a quadratic equation - whether the solutions are rational, real or complex numbers.
In problems of motion, especially involving constant acceleration, a quadratic equation will from the formulas of motion to solve for time, usually. This is just one example.
Simply learn and use the quadratic equation formula.
By using the quadratic equation formula or by completing the square
you use the quadratic formula in math when the quadratic equation you are solving cannot be factored.
By knowing how to use the quadratic equation formula.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
The Quadratic Equation is useful because you can't factorevery equation, so you use the quadratic equation. Even though it doesn't seem fun it is still useful.
To find the roots (solutions) of a quadratic equation.
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
I suggest you use the quadratic formula.
Law of motion is quadratic equation and is use in calculate of object trajectory. Fluid dynamic for sizing of pump is also second order equation. Quadratic equation or higher may use to fit equation for fast calculation of result. Example on vapour density equation for the use of evaporative mass transfer. We do need to know how much water air can take. It could use the data from table but the work will be lengthly. We can make data in the table a form of polynomial equation and so put it into program for calculated out this require vapour density.
Probably never.