What is the solution of the equation x3−9=6

Question

𝑥
3
−
9
=
6
solving for x
𝑥
? (1 point)........

Answer 1

To solve the equation \( x^3 - 9 = 6 \), we follow these steps:

1. Add 9 to both sides to isolate the \( x^3 \) term: \[ x^3 - 9 + 9 = 6 + 9 \] This simplifies to: \[ x^3 = 15 \]

2. Take the cube root of both sides to solve for \( x \): \[ x = \sqrt[3]{15} \]

Thus, the solution for \( x \) is: \[ x = \sqrt[3]{15} \]