The **quadratic formula** can be used to solve quadratic equations, equations in the form ax^{2} + bx +c = 0. Remember that either 'b' and 'c' may be equal to zero, in which case the formula will be ax^{2} + bx or ax^{2} + c. If a = 0, the equation will be linear, which are solved differently. If c = 0, the equation is very simple to solve, as it will equal x(ax + b) = 0 in which case the solutions are x=0 and x=-b/a. (See Factorisation and simplification).

### Example[edit | edit source]

2x^{2} + 6x - 14 = 0

x = 1.54, -4.54 (3s.f.)

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