Extraneous Solution? Yup, throughout high school math, you will be hearing this term for a loooong time. A super long time. When you are dealing with equations with square roots, you have to always check whether your answer is correct by substituting with the variable. If the solution does not support the equation it is labelled as an extraneous solution. But in this blog post, I will be explaining to you why this happens. Why do these solutions happen to exist? Real Mathematical Reasoning Extraneous Solutions occur because squaring both sides of a square root equation results in 2 solutions (the positive and negative number). Therefore, one of those numbers will be an extraneous solution, or an extra solution which does not fulfill the original equation. For example, x = 4 (original equation) <squaring both sides of the equation> x^2 = 16 x = -4, 4 <substituting x = -4 into the original equation> -4 is not equal to 4 Good luck,
3 Comments
Aryan
4/19/2020 12:49:03 pm
They are so annoying
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Rushiblogs
5/22/2020 05:12:26 pm
Absolutely agree.
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Shatlyk
5/12/2022 09:51:34 pm
Is this one also the same logic?
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