Question

Qual a resposta da equação
6ײ +1< 6⁵ =

Answer 1

Resposta:

$S=\left[-5 \sqrt{\dfrac{311}{6}}, 5 \sqrt{\dfrac{311}{6}}\right]$

Explicação passo-a-passo:

Solução para x:

$6x^2 +1 < 6^5\\\\\\\Rightarrow x^2< \dfrac{6^5 - 1}{6}\\\\\\\Rightarrow x^2< \dfrac{7775}{6}\\\\\\\Rightarrow -\sqrt{\dfrac{7775}{6}} < x < +\sqrt{\dfrac{7775}{6}}\\\\\\\Rightarrow -\sqrt{\dfrac{311\times25}{6}} < x < +\sqrt{\dfrac{311\times25}{6}}\\\\\\\Rightarrow -5\sqrt{\dfrac{311}{6}} < x < +5\sqrt{\dfrac{311}{6}}$

$S_x=\left[-5 \sqrt{\dfrac{311}{6}}, 5 \sqrt{\dfrac{311}{6}}\right]$