1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
r-ruslan [8.4K]
2 years ago
6

Finding the Roots/Zeros

Mathematics
1 answer:
boyakko [2]2 years ago
3 0

Answer:

  x = {-√7, √7, -i, i}

Step-by-step explanation:

The quartic can be factored as the product of two quadratics:

  f(x) = x^4 -6x^2 -7

  f(x) = (x^2 -7)(x^2 +1)

Each quadratic can be factored according to the factoring of the difference of squares:

  x^2 -a^2 = (x -a)(x +a)

Of course, the square root of a negative number is imaginary. The full factorization is then ...

  f(x) = (x -√7)(x +√7)(x -i)(x +i)

The zeros are ...

  x = {-√7, √7, -i, i}

You might be interested in
6) What is 13% of 33.39?
icang [17]

Answer:

1. We assume, that the number 33.39 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 33.39 is 100%, so we can write it down as 33.39=100%.

4. We know, that x is 13% of the output value, so we can write it down as x=13%.

5. Now we have two simple equations:

1) 33.39=100%

2) x=13%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

33.39/x=100%/13%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13% of 33.39

33.39/x=100/13

(33.39/x)*x=(100/13)*x       - we multiply both sides of the equation by x

33.39=7.6923076923077*x       - we divide both sides of the equation by (7.6923076923077) to get x

33.39/7.6923076923077=x

4.3407=x

x=4.3407

now we have:

13% of 33.39=4.3407

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Which option below best describes the polynomial 10x^3 ?
MAXImum [283]
The answer is C, there’s only 1 term= monomial
5 0
3 years ago
A -42+(-17)<br> b 8-(-9)<br> c 8(-9)<br> D<br> E<br> F<br> G
Diano4ka-milaya [45]

Answer:

.A -42+(-17)

Step-by-step explanation:

7 0
3 years ago
A professor has recorded exam grades for 20 students in his​ class, but one of the grades is no longer readable. If the mean sco
Ivenika [448]

Answer:

5

Step-by-step explanation:

To obtain the total score for all the 20 students, we multiply the average score by the number hence

Total score for all 20 is 81*20=1620

Similarly, for the 19 students, the sum of their total score equals the product of the average and number of students hence

Total score for 19 readable is 19*85=1615

The difference between these two total scores ie for 20 and 19 students equals to the value of unreadable score. Therefore,

Difference=1620-1615=5

Therefore, the value of unreadable score is 5

3 0
3 years ago
Find the circumference of the circle.<br> 7 m
Nutka1998 [239]

Answer:

43.96m is the answer

Step-by-step explanation:

circumference of circle=2πr

=2*3.14*7

=43.96m

8 0
2 years ago
Other questions:
  • WILL MARK BRAINLIEST <br> PLEASE HELP x
    14·1 answer
  • What is the equation of a line that passes through the points (0,5) and (4,8)? Write your answer in slope-intercept form.
    6·1 answer
  • Which represents the polynomial written in standard form?
    12·2 answers
  • Given an expression can you write an equivalent form of the expression and explain the properties you used?
    7·1 answer
  • Someone help me with number 12 please please
    6·2 answers
  • A number x rounded to 1 significant figure is 40. What is the error interval for x.
    8·2 answers
  • What's the coefficient in each
    5·1 answer
  • There are 6 people in George's family. How much did George's mom pay for tickets? Show how you found your solution.
    9·1 answer
  • Please help!!! I need someone to use some brain power
    13·1 answer
  • Subtract 15/12and 5/6​
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!