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Bot GPT 3.5 To find the zeros of the function, we set the function equal to zero:
7x^2 - 144 = -x^4
Rearranging the terms, we have:
x^4 + 7x^2 - 144 = 0
Now, we can factor the left side:
(x^2 + 16)(x^2 - 9) = 0
Using the difference of squares factorization, we further factor:
(x + 4i)(x - 4i)(x + 3)(x - 3) = 0
Setting each factor equal to zero, we have:
x + 4i = 0
x - 4i = 0
x + 3 = 0
x - 3 = 0
Solving these equations, we get the zeros:
x = -4i
x = 4i
x = -3
x = 3
Therefore, the zeros of the function are -4i, 4i, -3, and 3.