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Basically, we use mathematics in 'real life' to make real life more understandable. To this, we would use quadratic equations to model processes that (at least to a certain degree) resemble reality.
One such example of a quadratic equation is v^2 = u^2 + 2as. This formula determines the final speed that you are going based on a constant acceleration.
The reason we are able to use a quadratic equation here is because the cars force is relatively constant, and F=ma so the acceleration is constant. However, because drag has a large impact on forces at high speeds, this equation is not suitable for those speeds.
For interest's sake, the drag formula states that Force is proportional to velocity^3.
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Do you use two step equations in real life?
no
What is the use of quadratic formula if it is not used into real life?
The question is based on the false assumption that the quadratic formula is not used in daily life. Wrong, it IS!
How would you use simplifying quadratic equations in real life?
Engineers and mathematicians apply the simplifying of all manner of equations every day in the course of their work. Scientists in several fields may be required to do the same in the course of a particular project or problem.
What are some real life situations that would use the quadratic formula?
As you probably suspect, there are no non-mathematical situations in which you would use the quadratic formula.
What is the domain of all quadratic equations?
The set of all real numbers. Or all complex numbers, depending what you decide to use as your basic set.
