Question

Rezolvati in multimea numerelor reale rad din x+1 -rad din x-1=rad din2

Answer 1

$\sqrt{x+1} - \sqrt{x-1}= \sqrt{2} ;x \geq 1 \\ x+1+x-1-2 \sqrt{x^2-1}=2 \\ 2x-2 \sqrt{x^2-1}=2 \\ x-1= \sqrt{x^2-1} \\ x^{2} -2x+1= x^{2} -1 \\ -2x=-2 \\ x=1$

Answer 2

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