Răspuns: [tex]\bf x = \dfrac{29}{26}[/tex]
Explicație pas cu pas:
Salutare!
[tex]\bf \sqrt[3]{x+2} = 3\sqrt[3]{x-1}[/tex]
[tex]\bf (\sqrt[3]{x+2})^{3} =(3\sqrt[3]{x-1} )^{3}[/tex]
[tex]\bf x+2 =3^{3}\cdot(x-1 )[/tex]
[tex]\bf x+2 =27x-27[/tex]
[tex]\bf x+2 +27 =27x[/tex]
[tex]\bf x + 29 =27x[/tex]
[tex]\bf 29 =27x - x[/tex]
[tex]\bf 29 =26x[/tex]
[tex]\boxed{\bf x = \dfrac{29}{26} }[/tex]
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