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
A kitten and a puppy found a sausage which is 14cm long and started eating it simultaneously from each end. The kitten is eating
julsineya [31]

It takes them 12 seconds to eat the whole sausage.

<h3>What is speed?</h3>

Speed is the rate of change of distance.

Analysis:

If kitten eats x cm, then puppy will eat 14 - x cm

speed = d/t

speed of kitten = 1/2

speed of puppy = 2/3

1/2 = x/t

2/3 = 14 - x / t

t = 2x--------1

2t = 3(14 - x ) -------- 2

substitute t in equation 2

2(2x) = 3(14 - x)

4x = 42 - 3x

7x = 42

x = 42/7 = 6cm

substitute value of x in equation 1

t = 2(60 = 12 seconds.

In conclusion, it takes the both animals 12 seconds to finish the sausage.

Learn more about speed: brainly.com/question/4931057

#SPJ1

3 0
1 year ago
I need help with all of thies
levacccp [35]

Answer:

The equation for finding the hypotenuse is:

c^2+c^2=h^2

For example, in the first exercise:

8^2+10^2=164^2

For clearing the equation, find out the root of 164=

12.8

Hypotenuse of the first triangle is 12.8!

Let me help you with the next, if you still dont get it:

8^2+13^2=233^2

Root of 233: 15.2

Hypotenuse of second triangle is 15.2!

3 0
2 years ago
Which number has the same value as 28 tens? 28 or 280
KIM [24]
28 because we are talking about TENS meaning there can only be 2 digits
3 0
3 years ago
2.
diamong [38]

Answer:

what is the answer choices?

8 0
2 years ago
Jasmine was expected to get $150 for her bonus, but she only got $100. What was the percent error?
Slav-nsk [51]

Answer:

Jasmine expected to get $150 for her bonus, but she only got $100. What was the percent error?

-----

Amt of error:: $50

----------

% error:: 50/150 = 1/3 = 33 1/3%

7 0
2 years ago
Other questions:
  • Find the volume of a cylinder with a height of 5inches and radius of 2inches?
    9·2 answers
  • Lynn pays $480 for a kitchen table. The tax is %10. What is the total amount of the tax???
    8·1 answer
  • Math help <br> is it D? <br> please and thank you
    5·2 answers
  • What measure describe a isosceles triangle
    6·1 answer
  • Mr. Teal orders the same business lunch for 5 people. Everyone has a salad for $5, a steak sandwich for $12, lemonade for $3, an
    6·1 answer
  • Solve the equation for y in terms of x<br><br> 3x-2y=6
    15·1 answer
  • How many miles does a runner travel in a 10-kilometer run? (1 mile = 1.6 km)
    9·1 answer
  • What is the length of BC? Round to the nearest tenth
    8·1 answer
  • HELPP MEEEEEE<br> Find the slope of this graph.
    15·2 answers
  • Could someone please solve this compound inequality?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!