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• 15:30, 20 August 2025 Andrei.Horvat talk contribs created page E:16901 (Created page with "'''E:16901 (Călin Hossu)''' ''Determinați numărul natural pentru care are loc egalitatea <math>x\sqrt{x} + x^2 = 30758</math>.'' '''Soluție''' Dacă <math>\sqrt{x}=a</math>, atunci ecuația devine <math display="block">a^2\cdot a + \left(a^2\right)^2=30758,</math>ceea ce este echivalent cu <math display="block">a^3\left(a+1\right) = 30758 = 13^3\cdot 14.</math>Deci <math> a= 13</math>, cea ce implică <math>x=169</math>.") Tag: Visual edit