Question

Корень из x^2+32-2 ×4корень из x^2+32=3

Answer 1

$\sqrt{x^2+32-2}*4\sqrt{x^2+32}=3\\ x^2+32 = t\\ t \ \textgreater \ 0\\ \sqrt{t-2}*4\sqrt{t}=3\\ 16t(t-2)=9\\ 16t^2-32t-9=0\\ D = 1024 + 576 = 1600, \sqrt{D} = 40\\ t = \frac{32+40}{32} = \frac{72}{32} = \frac{9}{4}\\\\ x^2+32=\frac{9}{4}\\ x^2=-\frac{119}{4}\\\\ \varnothing$