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For a general quadratic equation of the form ax 2 + bx + c = 0 (1) We will solve for x via the ‘Completing the Square‘ method: First we divide equation (1) through by a on both sides, yielding: x 2 +(b/a)x +...

A stationary point is simply a point on a graph where the derivative=0. Ie, the rate of change of the curve at this point is 0 and therefore it is neither increasing or decreasing at this point . There are t...

The product rule can be used to differentiate a function that is formed of the product of two other functions; e.g f(x)=x 2 e x the product rule is as follows; if f(x) is split up into u.v (in this case u wo...

Immanuel Kant defined the Ontological argument as an a priori (knowledge that is independent of experience) argument that uses ontology to prove that God exists. It is an argument that is concerned with bein...

How to solve a quadratic equation? While learning mathematics, you will often meet quadratic equations. These equations serve a mathematical way to say that a certain equation, which may resemble a real-life...