Question

Considerando U = ℝ, o conjunto solução da seguinte equação é

(x + 1)² – 4(x + 1) – 3 = 2x² – 4
pfv preciso disso pra agr

Answer 1

$\Large\boxed{\begin{array}{l}\rm Considerando~U=\mathbb{R},o~conjunto~soluc_{\!\!,}\tilde ao\\\rm da~seguinte~equac_{\!\!,}\tilde ao~\acute e\\\rm (x+1)^2-4(x+1)-3=2x^2-4\end{array}}$

$\boxed{\begin{array}{l}\underline{\rm Soluc_{\!\!,}\tilde ao:}\\\sf (x+1)^2-4(x+1)-3=2x^2-4\\\sf x^2+2x+1-4x-\diagdown\!\!\!\!4-3-2x^2+\diagdown\!\!\!\!\!4=0\\\sf -x^2-2x-2=0\cdot(-1)\end{array}}$

$\Large\boxed{\begin{array}{l}\sf x^2+2x+2=0\\\sf \Delta=b^2-4ac\\\sf\Delta=2^2-4\cdot1\cdot2\\\sf \Delta=4-8\\\sf\Delta=-4<0\implies \not\exists~x\in\mathbb{R}\\\sf S=\bigg\{~~\bigg\}\end{array}}$