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Douglas Mccormick
Mathematics
9 December, 02:30
Find the zero (s) of this function: y=x^2-17x+52
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Kason Allison
9 December, 02:46
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here are the answers to this question
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Mark Ramsey
9 December, 02:59
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The zeroes are {-4, 13}
Step-by-step explanation:
Your best bet here is to determine the zeros using the quadratic formula or "completing the square."
Completing the square,
y = x² - 17x + 52, or
y = (x - 17/2) ² - (17/2) ² + 52, or
y = (x - 17/2) ² - 289/4 + 208/4, or
y = (x - 17/2) ² - 81/4
We set this = to 0, as we want the zeros. Then:
(x - 17/2) ² - 81/4 = 0, or
x - 17/2 = ±9/2, after having taken the square root of both sides.
Thus, one root is x = 17/2 + 9/2, or 26/2, or 13, and the other is
x = 1/2 - 9/2, or - 8/2, or - 4.
The zeroes are {-4, 13}.
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