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3 years ago

(a) Use the fundamental theorem of algebra to determine the number of roots for 2x^2 + 4x + 7

Mathematics

1 answer:

zysi [14]3 years ago

4 0

Answer:

Step-by-step explanation:

A 2nd order polynomial such as this one will have 2 roots; a 3rd order polynomial 3 roots, and so on.

The quadratic formula is one of the faster ways (in this situation, at least) in which to find the roots. From 2x^2 + 4x + 7 we get a = 2, b = 4 and c = 7.

Then the discriminant is b^2 - 4ac, or, here, 4^2 - 4(2)(7), or -40. Because the discriminant is negative, we know that the roots will be complex and unequal.

Using the quadratic formula:

-4 ±√[-40] -4 ± 2i√10

x = ------------------ = ------------------

4 4

-2 ± i√10

Thus, the roots are x = ------------------

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Answer:

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Step-by-step explanation:

Look at the second equation, we can easily rearrange it to make x the subject.

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Answer:

1). 0.903547

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Step-by-step explanation:

It is given :

K people in a party with the following :

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iii). k = 10 with the probability $\frac{1}{2}$

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