9514 1404 393
Answer:
x = -72
Step-by-step explanation:
The solution can be found by undoing what is done to the variable.
[tex]\displaystyle \sqrt[3]{x+8}=-4\quad\text{given}\\\\x+8=-64\quad\text{cube both sides}\\\\\boxed{x=-72}\quad\text{subtract 8}[/tex]
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The graphing calculator makes finding the solution easy when we write the equation in the form f(x)=0. Then the solution is the x-intercept(s). Here, we get that form by adding 4 to both sides of the given equation.
