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(x-√5)² = 20
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Răspuns :

   
[tex]\displaystyle \bf\\ (x- \sqrt{5} )^2 = 20~~~\Big| \sqrt{~~~} \\\\ \sqrt{(x- \sqrt{5} )^2} = \sqrt{20}\\\\ \sqrt{(x- \sqrt{5} )^2} = \sqrt{4\cdot 5}\\\\ x- \sqrt{5} = \Big|2\sqrt{5} \Big|\\\\ x- \sqrt{5} = \pm 2\sqrt{5} \\\\ x = \sqrt{5} \pm 2\sqrt{5} \\\\ x_1 = \sqrt{5} + 2\sqrt{5} = \boxed{3\sqrt{5} }\\\\ x_2 = \sqrt{5} - 2\sqrt{5} = \boxed{-\sqrt{5} }\\\\ [/tex]