[tex] \sqrt[3]{ x^{2}-x-3} = -1[/tex]
Ridicam si in stanga si in dreapta la puterea a 3-a si scapam de radical.
Atentie, ridicarile la putere pot introduce solutii false! => Trebuie facute probe.
x² - x - 3 = -1
x² - x - 2 = 0
[tex] x_{12}= \frac{1+/- \sqrt{1 + 8}}{2} = \frac{1+/- \sqrt{9}}{2}= \frac{1 +/- 3}{2} [/tex]
[tex] x_{1} = \frac{1 + 3}{2} = \frac{4}{2}=2 [/tex] Solutie verificata
[tex] x_{1} = \frac{1 - 3}{2} = \frac{-2}{2}=-1 [/tex] Solutie verificata
Nu avem solutii false.
