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
Andrej [43]
3 years ago
8

Write a polynomial equation with roots 5 and -9i. X^3-?x^2+?X-?=0

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer:

x³ - 5x² + 81x - 405 = 0

Step-by-step explanation:

Complex roots occur in conjugate pairs.

Thus given x = - 9i is a root then x = 9i is also a root

The factors are then (x - 5), (x - 9i) and (x + 9i)

The polynomial is the the product of the roots, that is

f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors

    = (x - 5)(x² - 81i²) → note i² = - 1

    = (x - 5)(x² + 81) ← distribute

    = x³ + 81x - 5x² - 405, thus

x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation

You might be interested in
Whats the pattern for this numbers 5, 3, 9, 2, 13
dimaraw [331]

Step-by-step explanation:

Go and learn numbers , it will be 1 2 3 4 5

7 0
2 years ago
Each guest at casandras party had 3 turns to act out worlds during a game. They began with a list of 50 words. When they finishe
Veronika [31]

Answer:

16 fits but not evenly

Step-by-step explanation:

16 times 3 equals 48 and 17 times 3 equal is 51 so someone didnt go 3 times.

7 0
3 years ago
What are some ways I can have a good wardrobe without breaking the bank?
Alex
Fast fashion even though you promoting child labor if you were that poor go ahead
7 0
3 years ago
Rewrite the following without an exponent.<br> (8/5) -1
Mandarinka [93]

Answer:

5/8.

Step-by-step explanation:

a^-1 = 1/a

So here we have:

(8/5)^-1

= 1/ (8/5)= 5/8.

6 0
3 years ago
A soccer player uses her head to hit a ball up in the air from a height of 2 meters with an initial vertical velocity of 5 meter
ozzi

Answer:

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

Step-by-step explanation:

The ball will hit the ground when its height is equal to 0 meters, therefore using this value in the expression and solving for "t" will give us the correct solutions.

h = -4.9*t^2 + 5*t + 2\\\\-4.9*t^2 + 5*t + 2 = 0\\\\t_{1,2} = \frac{-5 \pm \sqrt{5^2 - 4*(-4.9)*(2)}}{2*(-4.9)}\\\\t_{1,2} = \frac{-5 \pm \sqrt{64.2}}{-9.8}\\\\t_{1,2} =\frac{-5 \pm 8.0125}{-9.8}\\\\t_1 = \frac{-5 - 8.0125}{-9.8} = 1.33 \text{ s}\\\\t_2 = \frac{-5 + 8.0125}{-9.8} = -0.3 \text{ s}

The ball will hit the ground in 1.33 s if no one touches it. The equation has 2 real solutions.

8 0
3 years ago
Other questions:
  • -0.38 written as a fraction is _____. -7/18 -15/36 2/5
    14·1 answer
  • What it is simplified
    13·2 answers
  • Three pigs entered a race around a track. Piggly takes 12 minutes to run one lap. Piglet takes 9 minutes to run one lap. And it
    14·1 answer
  • A poll is given, showing 30% are in favor of a new building project. If 10 people are chosen at random, what is the probability
    9·1 answer
  • Who else is only on this cause of Algebra Nation?
    11·1 answer
  • In comparison 1/3to where would 3/9be
    11·1 answer
  • A file that is 272 megabyte la is being downloaded. If the download is 12.9% complete, how many megabytes have been downloaded?
    9·1 answer
  • Please help me ???????????????
    5·1 answer
  • I need the answer. helpppppppppppp plzz​
    9·1 answer
  • Plz answer I will crown brainlist
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!