5r2=80
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In problems of motion, especially involving constant acceleration, a quadratic equation will from the formulas of motion to solve for time, usually. This is just one example.
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.
Because it's part of the quadratic equation formula in finding the roots of a quadratic equation.
a is the coefficient of the x2 term. If is a = 0, then it is no longer a quadratic - it is just a linear equation, and the quadratic formula will not work to solve it.
The quadratic formula cannot be used to solve an equation if the coefficient of the equation's x2-term is 0.