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The quadratic equation has many application related to resolving and modelling daily life problems. two examples are in archery and rifle sports. The trajectory of the projectile can follow a ballistic arc. The arc itself can be explained and graphically illustrated by the quadratic equation.
A quadratic equation could be used to find the optimal ingredients for a mixture. Example: if you are trying to create a super cleanser, you could make a parabola of your ingredients, finding the roots of the equation to find the optimal amount for each ingredient.
It really depends what you work in; if you work in science, or in engineering (applied science), you will need the quadratic equation - and a lot more advanced math as well. Examples that involve the quadratic equation are found in abundance in algebra textbooks; for example, an object in free fall.
You'll find "real-life applications" of the quadratic equation mainly in engineering applications, not in sustainable development.
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