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
ale4655 [162]
2 years ago
14

How to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x​

Mathematics
1 answer:
Fofino [41]2 years ago
4 0

Answer:

x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}

Step-by-step explanation:

We are given the function:

f(x)=-4x^5-8x^3+12x

And we want to finds its zeros.

Therefore:

0=-4x^5-8x^3+12x

Firstly, we can divide everything by -4:

0=x^5+2x^3-3x

Factor out an x:

0=x(x^4+2x^2-3)

This is in quadratic form. For simplicity, we can let:

u=x^2

Then by substitution:

0=x(u^2+2u-3)

Factor:

0=x(u+3)(u-1)

Substitute back:

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

By the Zero Product Property:

x=0\text{ and } x^2+3=0\text{ and } x^2-1=0

Solving for each case:

x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}

Therefore, our real and complex zeros are:

x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}

You might be interested in
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco,
ad-work [718]

Answer:

2t+b=8

e+t+b=8.5

2e+2t=10

8 0
3 years ago
Please help show work I beg <br><br> A 5<br> B 17 <br> C 34 <br> D 3
Gemiola [76]
Answer: 5

Because the two angles are congruent, these sides are congruent, so:

5x-8=2x+7
3x=15
x=5
7 0
3 years ago
the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining
AleksandrR [38]

<u>Answer:</u>

Below!

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

<u>We know that:</u>

  • 400 + 850 + m = 1500

<u>Solution of Question A:</u>

<u>Percent of children: Total children/Total attendance</u>

  • => 400/1500
  • => 4/15
  • => 0.27 (Rounded to nearest hundredth)
  • => 0.27 x 100
  • => 27%

<u>Hence, the percent of children is about 27%.</u>

<u>Solution of Question B:</u>

<u>Percent of women: Total women/Total attendance</u>

  • => 850/1500
  • => 85/150
  • => 17/30
  • => 17/30 x 100
  • => 17/3 x 10
  • => 170/3
  • => 56.67%

<u>Hence, the percent of women is 56.67%.</u>

<u>Solution of Question C:</u>

  • 400 + 850 + m = 1500
  • => 1250 + m = 1500
  • => m = 1500 - 1250
  • => m = 250

<u>Percent of men: Total men/Total attendance</u>

  • => 250/1500
  • => 1/6
  • => 0.17 (Rounded to nearest hundredth)
  • => 0.17 x 100
  • => 17%

<u>Hence, the percent of men is about 17%</u>

Hoped this helped.

BrainiacUser1357

3 0
2 years ago
there are 32 students in the school play. the ratio of girls to all students in the play is 5:8. how many girls are in the play?
mrs_skeptik [129]
The answer is 20 girls
5 0
3 years ago
Read 2 more answers
Solve systems substitution. y=4x-13 3x-3y=12
Maru [420]

I have no clue but i wish you the best of luck

7 0
3 years ago
Other questions:
  • Please answer the question in the image below ASAP
    6·1 answer
  • What are the subsets of the set {7, 8, 9}?
    11·1 answer
  • Mr.lobo is building a fence around his rectangular yard.It is 16 feet long and 14 feet wide.how many feet of fencing will he nee
    10·1 answer
  • What are the values of a and b
    15·1 answer
  • What is 6 3/4 in decimals
    7·2 answers
  • The voltage in an electrical circuit is multiplied by itself each time it is reduced . The voltage is 27/125 of a volt and it ha
    7·2 answers
  • HELP QUICK PLEASE<br> The perimeter is 116 in and the width is 27 in.<br> What's the length?
    10·2 answers
  • Jenny is covering the top of her freshly made cake with a piece of aluminum foil. The diameter of the cake is 5 inches. What is
    5·1 answer
  • Is it A or B or C or D
    7·2 answers
  • 6 bags of Skittles cost $3. How much is one bag?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!