Let's go through the solution for the equation \( x^3 - 9 = 6 \) step by step clearly:
-
Start with the original equation:
\[
x^3 - 9 = 6
\]
-
Add 9 to both sides to isolate \( x^3 \):
\[
x^3 = 6 + 9
\]
\[
x^3 = 15
\]
-
Next, take the cube root of both sides to solve for \( x \):
\[
x = \sqrt[3]{15}
\]
Therefore, the solution to the equation \( x^3 - 9 = 6 \) is:
\[
x = \sqrt[3]{15}
\]
If you need a numerical approximation, it is approximately:
\[
x \approx 2.466
\]
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