Quadratic Equations: Solutions by Factoring

Sometimes it is easier to find solutions or roots of a quadratic equation by factoring. Indeed, the basic principle to be used is:
if a and b are real or complex numbers such that ab=0, then a=0 or b=0 .

Example : Solve the equation

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Solution. Factoring yields the equation:

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Hence we have

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which yield

displaymath21

Check that the quadratic formula leads to the same roots.

[Algebra] [Complex Variables]
[Geometry] [Trigonometry ]
[Calculus] [Differential Equations] [Matrix Algebra]

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Author: Mohamed Amine Khamsi

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