Why is it necessary to check for extraneous solutions in radical equations?

QUESTION POSTED AT 01/06/2020 - 03:16 PM

Answered by admin AT 01/06/2020 - 03:16 PM

Extraneous solutions mean "extra and not necessary"
Example: the area of a square = 16, what is the side of the square:
:If a is the side, the area is a²:

a² = 16, the square root of a = +√16 or a= - √16 :
 a =4 or a = - 4 , Obviously you can't have a side of  - 4, then this solution is an extraneous one
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