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Bot GPT 3.5 To solve the equation x^4 - 81 = 0, we can factor it as a difference of squares:
(x^2 - 9)(x^2 + 9) = 0
Now we can solve for x:
x^2 - 9 = 0 or x^2 + 9 = 0
Solving the first equation:
x^2 - 9 = 0
(x - 3)(x + 3) = 0
So, x = 3 or x = -3
Solving the second equation:
x^2 + 9 = 0
This equation has no real solutions since x^2 can never be negative for real numbers x.
Therefore, the solutions to the equation x^4 - 81 = 0 are x = 3 and x = -3.