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3 years ago

X^4+9 which pattern can we use to factor the expression?

Mathematics

2 answers:

agasfer [191]3 years ago

8 0

Answer:

(x^2 - 3i) ( x^2 +3i)

Step-by-step explanation:

X^4+9

x^4 - -9

This is the difference of squares (a^2 - b^2) = (a-b)(a+b)

(x^2) ^2 - ( 3i)^2

(x^2 - 3i) ( x^2 +3i)

Cloud [144]3 years ago

3 0

Answer:

$\left(x^2+3i\right)\left(x^2-3i\right)$

Step-by-step explanation:

$x^4+9$

$x^4+9$ can be written as $x^4--9$ .

Apply the formula for the difference of two squares.

$(a^2-b^2)=(a+b)(a-b)$

$-9=3i^2$

$x^4=(x^2)^2$

$(x^2)^2-(3i)^2=(x^2+3i)(x^2-3i)$

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Answer:

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Step-by-step explanation:

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

On this case we have that n= 56 represent the employees selected to solve the puzzles.

We know that 23 out of the 56 selected solved the puzzles in less than 7 minutes.

Let's define the events A and A' like this:

A: Employees solved puzzles in less than 7 minutes

By the complement rule then:

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$P(A)=\frac{Possible outcomes}{Total outcomes}$

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$P(A) =\frac{23}{56}=0.411$

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$P(A')=1-0.411=0.589$

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