Chemist use the quadratic equation all the time to find concentrations in equilibrium reactions.
Mechanics in physics, kinematics to be precise, use this formula to find position, time velocity or acceleration of moving objects.
X = Vot + 1/2at2
--------------------------------a quadratic formula
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.
By using the quadratic equation formula or by completing the square
The question is based on the false assumption that the quadratic formula is not used in daily life. Wrong, it IS!
As you probably suspect, there are no non-mathematical situations in which you would use the quadratic formula.
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.
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.
Simply learn and use the quadratic equation formula.
By using the quadratic equation formula or by completing the square
The question is based on the false assumption that the quadratic formula is not used in daily life. Wrong, it IS!
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 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.
As you probably suspect, there are no non-mathematical situations in which you would use the quadratic formula.
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.