Answer:
x = -63
Step-by-step explanation:
[tex] \sqrt[3]{x - 1} = -4 [/tex]
Cube both sides.
[tex] (\sqrt[3]{x - 1})^3 = (-4)^3 [/tex]
[tex] x - 1 = -64 [/tex]
[tex] x = -63 [/tex]
Check:
[tex] \sqrt[3]{x - 1} = -4 [/tex]
[tex] \sqrt[3]{-63 - 1} = -4 [/tex]
[tex] \sqrt[3]{-64} = -4 [/tex]
[tex] -4 = -4 [/tex]
Answer, x = -63, is correct.
