Whenever you are describing an object in motion that is accelerating or decelerating (due to gravity for example), the resulting equation will be quadratic. This is just one example.
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The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.
The quadratic formula is used to solve the quadratic equation. Many equations in which the variable is squared can be written as a quadratic equation, and then solved with the quadratic formula.
It is still called a quadratic equation!
When you need to find the roots of a quadratic equation and factorisation does not work (or you cannot find the factors). The quadratic equation ALWAYS works. And when appropriate, it will give the imaginary roots which, judging by this question, you may not yet be ready for.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.