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2 years ago

• Given the function, f(x) = x3 – 5x2 + 9x – 45, determine the number of roots and identify them.

1 answer:

6 0

x3 - 5x2 + 9x - 45 = 0
It is a polynomial of degree three, therefore, it has three roots.
For this case, what we can do is factorize to write the polynomial in an easier way and thus be able to find the roots.
Factoring we have:
(x - 5) (x ^ 2 + 9) = 0
x = 5
x = 3i
x = -3i
Answer:
three roots:
x = 5
x = 3i
x = -3i

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3 years ago

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Since, a regular hexagon has an area of 750.8 square cm and The side length is 17 cm.

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The formula for determining the apothem of regular hexagon is $s \div {{2 \tan (\frac{180}{n})}$ , where 's' is any side length of regular hexagon and 'n' is the number of sides of regular hexagon.

So, apothem = $17 \div {2 tan(\frac{180}{6})$

= $17 \div {2 tan(30)$

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Option B is the correct answer.

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2 years ago