Question

Resolva as equações, considerando U = R

2x² - 32 = 0


16x² = 9


9x² = 25 + 8x²​

Answer 1

$\large\boxed{\begin{array}{l}\sf Resolva\,as\,equac_{\!\!,}\tilde oes,considerando~U=\mathbb{R}.\\\rm 2x^2-32=0\\\rm isolando\,x\,temos:\\\rm 2x^2=32\\\rm x^2=\dfrac{32}{2}\\\\\rm x^2=16\\\rm x=\pm\sqrt{16}\\\rm x=\pm4\longrightarrow S=\{-4,4\}\\\rm 16x^2=9\\\rm isolando\,x\,temos:\\\rm x^2=\dfrac{9}{16}\\\\\rm x=\pm\sqrt{\dfrac{9}{16}}\\\\\rm x=\pm\dfrac{3}{4}\longrightarrow S=\bigg\{-\dfrac{3}{4},\dfrac{3}{4}\bigg\}\5\end{array}}$

$\large\boxed{\begin{array}{l}\rm9x^2=25+8x^2\\\rm 9x^2-8x^2=25\\\rm x^2=25\\\rm x=\pm\sqrt{25}\\\rm x=\pm5\longrightarrow S=\{-5,5\}\end{array}}$