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
Solution. Factoring yields the equation:
Hence we have
Check that the quadratic formula leads to the same roots.
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Author: Mohamed Amine Khamsi