One would use the quadratic formula for solving binomials that are otherwise hard to factor. You can find both real and imaginary solutions using this method, making it highly superior to factoring in this regard.
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Simply learn and use the quadratic equation formula.
Quadratic equations can be used in solving problems where the formula is given, falling object problems and problems involving geometric shapes.All types of engineering professions use the quadratic formula since it applies to ordinary differential equations.
Using the quadratic equation formula or completing the square
You should always use the vertex and at least two points to graph each quadratic equation. A good choice for two points are the intercepts of the quadratic equation.
By halving its perimeter and using the quadratic equation formula.