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Find the zeros of the function algebraically: F(x) = (x^2 - 9x + 20) / 4x.

User Brouxhaha
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Final answer:

The zeros of the function F(x) = (x^2 - 9x + 20) / 4x are found by setting the numerator equal to zero which gives us the zeros x = 4 and x = 5, excluding x = 0 as it would make the denominator zero.

Step-by-step explanation:

To find the zeros of the function F(x) = (x^2 - 9x + 20) / 4x, we look for the values of x that make F(x) equal to zero.

Since the function is in the form of a rational expression, we can equate the numerator to zero, because a fraction is equal to zero when its numerator is zero. Hence, we set x^2 - 9x + 20 = 0 and solve for x. This is a quadratic equation which can be factored into (x - 5)(x - 4) = 0. So, the solutions for x are 5 and 4.

However, it is important to note that since x is in the denominator of the original function, x cannot be equal to zero, as division by zero is undefined.

The zeros of the given function are x = 4 and x = 5.

User Ncw
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