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Find the zeros of the function. Answer in exact form. Do not round. r(x) = -1/2x² - 24?

User Stromwerk
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Final answer:

To find the zeros of the function r(x) = -1/2x² - 24, set the function equal to zero and solve for x. Since the square root of a negative number is not defined in the real number system, this function has no real zeros.

Step-by-step explanation:

To find the zeros of the function r(x) = -1/2x² - 24, we need to set the function equal to zero and solve for x. So we have:

-1/2x² - 24 = 0

Adding 24 to both sides gives us:

-1/2x² = 24

Now, multiplying both sides by -2 to eliminate the fraction, we get:

x² = -48

Taking the square root of both sides, we have:

x = ±sqrt(-48)

Since the square root of a negative number is not defined in the real number system, this function has no real zeros.

User Redmen Ishab
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