As you probably suspect, there are no non-mathematical situations in which you would use the quadratic formula.
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The question is based on the false assumption that the quadratic formula is not used in daily life. Wrong, it IS!
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examples of quadratic equation in word problem form with real life situations like sports baseball, hockey
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
The only thing that you really need to know is the quadratic formula, its uses in everyday life. that's all