Answer: The given equation is:
5x^(-4) - x - 1 = 0
To start, let's rewrite the equation by getting rid of the negative exponent:
5/x^4 - x - 1 = 0
Now, let's multiply both sides by x^4 to eliminate the fraction:
5 - x^5 - x^4 = 0
This is a quintic equation, which can be challenging to solve exactly. However, we can try to factor the left-hand side:
x^4 + 1 = 5
Step-by-step explanation:
