To solve this problem, we need to determine the value of x, which represents the unknown variable.
We know that $x = X and $y = 5.
We can substitute these values into the given expression:
$\frac{x^4+2y^2}{6} = 11
$\frac{X^4+2(5^2)}{6} = 11
Simplifying further:
$\frac{X^4+2(25)}{6} = 11
$\frac{X^4+50}{6} = 11
To isolate X, we multiply both sides of the equation by 6:
X^4 + 50 = 66
To solve for X, we subtract 50 from both sides of the equation:
X^4 = 16
To find the fourth root of both sides, we take the fourth root of 16:
X = ∛∛16
X = 2
Therefore, the value of unknown variable x is 2.
The answer is: 2
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
If $x = X and $y = 5$, The value of $\frac{x^4+2y^2}{6}$ is 11. What is the value of unknown variable X?

### Answer:
