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Find the entire truth set of x^4 -1 = 0 

Option: 1

{-1,1}


Option: 2

{1}


Option: 3

{i,-1,1,-i}


Option: 4

none of these 


Answers (1)

best_answer

 

 

Logic Connectivity -

Note:

-

\\x^4-1=0\\\\(x^2-1)(x^2+1) = 0 \\\\\Rightarrow x =\pm 1 \\\\ \text{or, }\: x^2 = -1 \Rightarrow x=\pm\sqrt{-1}\Rightarrow x=\pm i

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