Ecua ii ira ionale ț ț √f (x) =g(x) ⟺ { g(x)≥0 f (x)=(g(x)) 2 . 3 √f (x) =g(x) ⟺f (x)=(g(x)) 3 √f (x)±√g (x) = h(x) ⟺ { f (x)≥0 g(x)≥0 (√f (x)±√g (x)) 2 =(h(x)) 2 √f (x)±√g (x)=√h(x)⟺ { f (x)≥0 g(x)≥0 h(x)≥0 (√f (x)±√g(x)) 2 =(√h(x)) 2 3 √f (x)± 3 √g(x) =...
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Ecua ii ira ionale ț ț √f (x) =g(x) ⟺ { g(x)≥0 f (x)=(g(x)) 2 . 3 √f (x) =g(x) ⟺f (x)=(g(x)) 3 √f (x)±√g (x) = h(x) ⟺ { f (x)≥0 g(x)≥0 (√f (x)±√g (x)) 2 =(h(x)) 2 √f (x)±√g (x)=√h(x)⟺ { f (x)≥0 g(x)≥0 h(x)≥0 (√f (x)±√g(x)) 2 =(√h(x)) 2 3 √f (x)± 3 √g(x) = h(x) ⟺( 3 √f (x)± 3 √g(x)) 3 =(h(x)) 3 3 √f (x)± 3 √g(x)= 3 √h(x)⟺( 3 √f (x)± 3 √g(x)) 3 =( 3 √h(x)) 3 g(x)√f (x)=0⟺ { f (x)≥0 [f (x)=0 g (x)=0 . Inecua ii ira ionale ț ț √f (x) <a Dacă a>0⟺ {f (x)≥0 f (x)<a 2 √f ( x)≤ a Dacă a>0⟺ {f (x)≥0 f (x)≤a 2 Dacă a≤0 , atunci S = ∅ Dacă a<0 , atunci S = ∅ Dacăa=0⟺ f (x)=0 √f (x) <g(x) ⟺ { f (x)≥0 g(x)>0 f (x)<(g(x)) 2 . √f (x)≤ g(x) ⟺ { f (x)≥0 g(x)≥0 f (x)≤(g(x)) 2 √f (x) >a Dacă a≥0⟺f (x)>a 2 √f (x)≥ a Dacă a≥0⟺f (x)≥a 2 Dacă a<0⟺f (x)≥0 Dacă a<0⟺f (x)≥0 √f (x) >g(x) ⟺ [{ g(x)≥0 f (x)>(g(x)) 2 {g(x)<0 f ( x)≥0 √f (x)≥ g(x) ⟺ [{ g(x)≥0 f (x)≥(g(x)) 2 {g(x)<0 f (x)≥0
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