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uranmaximum [27]
3 years ago
12

How many complex roots does the equation below have? X^6+x^3+1=0

Mathematics
2 answers:
gladu [14]3 years ago
7 0
If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 -4ac.
a = 1
b = 1
c = 1
1^2 - 4*1*1
1-4 = -3
Since this is a negative number there will be 2 complex roots.
solniwko [45]3 years ago
7 0

Answer:

The number of complex roots is 6.

Step-by-step explanation:

The given equation is

x^6+x^3+1=0

it can be written as

(x^3)^2+x^3+1=0

Substitute t=x^3,

(t)^2+t+1=0

Using quadratic formula.

t=\frac{-1\pm \sqrt{1^2-4(1)(1)}}{2}=\frac{-1\pm 3i}{2}     t=\frac{-b\pm \sqrt{b^2-4ac}}{2}

We know that

\omega =\frac{-1\pm 3i}{2}

It is a complex number.

x^3=\omega

x=(\omega)^{\frac{1}{3}}

Cube root of a complex number is complex.

Therefore the number of complex roots is 6.

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8(6) is what?? i need help lol
BlackZzzverrR [31]

Answer:

48

Step-by-step explanation:

8 * 6 = 48

4 0
3 years ago
With another study, where you also plan on evaluating a mean using the t statistic, you have a sample of n = 21 that has an ss o
GREYUIT [131]

The variance for the sample is 25

For given question,

We have been given the sample size n = 21

and the sum of squares is SS = 500

We need to find the variance for the sample.

We know that the variance is mathematically represented as,

\sigma^2=\frac{SS}{n-1}

Substituting given values in the above formula,

\Rightarrow \sigma^2\\\\=\frac{500}{21-1}

= 500 / 20

= 25

So, the variance is 25

Therefore, the variance for the sample is 25

Learn more about the variance here:

brainly.com/question/15729903

#SPJ4

5 0
1 year ago
Your answer should be a polynomial in standard form <br> -3a(a^2-10a+25)
Flauer [41]

Answer:

-3a^3  + 30a^2 - 75a

Step-by-step explanation:

Multiply 3 by what is inside the parentheses and add like terms.

7 0
4 years ago
How can you use a graph of a linear relationship to find the unknown value of y or x within the region of the graph
adoni [48]
U plot ur answers on the graph and u will fid it

8 0
3 years ago
In an aquarium, there are 7 large fish and 6 small fish. Half of the small fish are red.
g100num [7]

Answer:

3/13

Step-by-step explanation:

There are a total of 13 fish (6+ 7 = 13). There are 3 small, red fish. (1/2 · 6 = 3). Put the number of small, red fish over the total number of fish because the small, red fish is being selected from the entire tank of fish. 3/13 cannot be simplified any further.

5 0
4 years ago
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