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Serga [27]
3 years ago
6

What is the vertex of x^2 -10x + 21

Mathematics
1 answer:
Radda [10]3 years ago
5 0

Answer:

(5, - 4)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

x² - 10x + 21 ← is in standard form

with a = 1, b = - 10, so

x_{vertex} = - \frac{-10}{2} = 5

Substitute x = 5 into the quadratic for the corresponding value of y

y = 5² - 10(5) + 21 = 25 - 50 + 21 = - 4

vertex = (5, - 4)

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