Answer:
The solution is: [tex]x = -207[/tex]
Step-by-step explanation:
We have the following equation:
[tex]\sqrt[3]{9-x} = 6[/tex]
Elevating both sides to 3, we can isolate x
[tex]\sqrt[3]{9-x}^{3} = 6^{3}[/tex]
[tex]9-x = 216[/tex]
[tex]-x = 216 - 9[/tex]
Multiplying by -1
[tex]x = -207[/tex]
Checking
[tex]\sqrt[3]{9-(-207)} = \sqrt[3]{216} = 6[/tex]
