Question

rezolvati in multimea numerelor reale ecuatia radical x la 2+12=x+2.

Answer 1

$\it\sqrt{x^2+12} = x+2 \Rightarrow (\sqrt{x^2+12})^2 = (x+2)^2 \Rightarrow \\ \\ \\ \Rightarrow x^2+12 = x^2+4x+4 \Rightarrow 0 = x^2+4x+4 -x^2-12 \Rightarrow \\ \\ \\ \Rightarrow 4x-8=0 \Rightarrow 4x=8\Rightarrow x = 2$

Answer 2

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