Hello
csaluja,
Let me attempt to answer this. Do let me know in case of any questions, It will help me clear my understanding as well
Lets look at S2. Of course we can square both sides. But thats a trap laid by the test maker. It wont lead us anywhere. To avoid this trap we will have to approach it using Algebra.
S2 says :
\(\sqrt{x^2} = -x\). To understand this better lets take a parallel example - square root of a perfect square - \(\sqrt{9}\) = \(\sqrt{3^2} = ±3\). Mathematically ±3 is also written as |3|.
Generalizing we get : \(\sqrt{x^2} = |x|\)
Essentially what S2 is saying is that \(\sqrt{x^2}\) can only take the negative value. I hope this clears your understanding of S2.
Bunuel has (as usual) excellently explained the remaining part above.
csaluja wrote:
I have a question regarding S2. Can we square both of the sides? If yes, would it be x^2=x^2 or x^2=-x^2?
Thanks!
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