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Elis [28]
3 years ago
11

What are the real and complex solutions of the polynomial equation? x^4-41x^2=-400

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0
<h3>Answer:</h3>

The real solutions are -5, -4, 4, 5. There are no complex solutions.

<h3>Step-by-step explanation:</h3>

The equation ...

... x^4 -41x^2 +400 = 0

can be factored as ...

... (x^2 -16)(x^2 -25) = 0

... (x -4)(x +4)(x -5)(x +5) = 0

So, all roots are real and are ...

... x ∈ {-5, -4, 4, 5}

_____

These are the values of x that make the factors zero.

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An expression is shown:<br> 32 ÷ 4 <br><br> What is the quotient expressed as a fraction?
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Answer:

32/4

simplified is 8/1

Step-by-step explanation:

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3 years ago
What is 63.4 divided by 20
Zanzabum
317 is the answer you are looking for.
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Which number is closest to 1/2
noname [10]

Answer:

0.56

it's basically the number closest to 50. Don't get tricked by the 0.05 because that's only 5% not 50%

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2 years ago
A line passes through the given points. write an equation for the line in point-slope form. then rewrite the equation in slope i
rodikova [14]

#1 first we need to solve for slope which is y2-y1/x2-x1

plug in the coordinates and get 1-6/5-(-2) which makes our slope -5/7

then use the equation for point slope form which is:

y-y1=m(x-x1)

then plug in one of the coordinates, I'll use (-2,6), now we have

y-6=-5/7(x+2)

now to make this slope intercept, we just have to solve

y-6=-5/7x-10/7

y=-5/7x+4 4/7

repeat all these steps for 2 and 3

#2: slope = -13/5

plug it in to point slope and get: y+8=-13/5(x-3)

slope intercept:

y+8= -13/5x + 39/5

y= -13/5x -1/5

#3: slope = 3/4

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slope intercept: y-2=3/4x-9/4 --> y=3/4x-1/4

7 0
3 years ago
Assume you have applied for two jobs a and b. The probability that you get an offer for job a is 0. 25. The probability of being
laila [671]

If you have applied for two jobs a and b and the probability that you get an offer for the job a is 0.25 and the probability of being offered job b is 0.20, then the probability that you will be offered both jobs is 0.05.

Probability is a term used in mathematics that is concerned with the numerical illustration of the possibility of an event to take place. Its value is between 0 and 1 where 0 illustrates the impossibility of the event to take place while 1 illustrates the certainty of an event to take place.

As the probability of both the jobs are not dependent on each other, the probability that both jobs will be offered can be calculated by the formula;

P(A∩B) = P(A) × P(B)

Here, P(A∩B) represents the probability of both the events to take place together

As P(A) is equal to 0.25

P(B) is equal to 0.20

P(A∩B) = (0.25)(0.20)

P(A∩B) = 0.05

Therefore, 0.05 is the probability that both jobs will be offered.

To learn more about probability, click here:

brainly.com/question/251701

#SPJ4

4 0
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