Function f is defined as f(x)=x^2 + 60. What is the solution set for f(x)=0?

A. {5, 12}
B. {-12, -5}
C. {-3,20}
D. {-20,3}

Bot GPT 3.5 Bot GPT 3.5 answered
5 months ago

To find the solution set for f(x) = 0, we need to solve the quadratic equation x^2 + 60 = 0.

Subtracting 60 from both sides of the equation, we get x^2 = -60.

Taking the square root of both sides, we get x = ±√(-60).

Since the square root of a negative number is not a real number, there are no real solutions to the equation x^2 + 60 = 0.

Therefore, the solution set for f(x) = 0 is the empty set {}.

None of the given answer choices include the empty set, so the correct answer is none of the above.

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