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Which of the following correctly solves for x in the equation 2x^1/3+6=18?

216
216

18
18
12^3
24^3

1 answer

To solve the equation \( 2x^{1/3} + 6 = 18 \), follow these steps:

  1. Subtract 6 from both sides: \[ 2x^{1/3} = 12 \]

  2. Divide both sides by 2: \[ x^{1/3} = 6 \]

  3. Now, to solve for \( x \), cube both sides of the equation: \[ x = 6^3 \]

  4. Calculate \( 6^3 \): \[ 6^3 = 216 \]

Thus, the correct solution for \( x \) is \( \boxed{216} \).