Quadratic equations pop up a lot when you have a situation where something is moving and you want to find out things like how high/low something is at a point in time or what time it hits the ground/reaches a particular destination, or at what speed it has at a point in time.
For example, if you throw a ball into the air, how high does it go? What time does it hit the ground? Quadratic equations let you find out the answer to these questions.
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