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
timama [110]
2 years ago
12

The polynomial equation x3- 4x2 + 2x+ 10 = x2 - 5x-3 has complex roots 3+2i. What is the other root? Use a graphing

Mathematics
1 answer:
Ivahew [28]2 years ago
3 0

Answer:

Step-by-step explanation:

Given Equation:

x^3- 4x^2 + 2x+ 10 = x^2 - 5x-3

which simplifies to

x^3- 5x^2 + 7x+ 13 = 0

Given one of the roots is x = 3x+2i, the conjugate is therefore x = 3-2i.

The product is real, (x-3+2i)(x-3-2i) = x^2-6x+13

The other root can therefore be obtained by long division

(x^3- 5x^2 + 7x+ 13)/(x^2-6x+13) = x+1, or x=-1

Therefore the three roots are:

{x=3-2i, x=3+2i, x=-1 }

You might be interested in
You are saving money for a new phone. You must have at least $800 saved up in
NeX [460]

Let number of hours needed to work = x

Multiply number of hours by rate: 15x

Add what you already have saved:

15x + 215

This needs to equal at least 800:

The equation becomes:

15x + 215 >= 800

Solve for x:

15x + 215 >= 800

Subtract 215 from both sides

15x >= 585

Divide both sides by 15

X >= 39

They have to work at least 39 hours.

6 0
3 years ago
Two thirds times three eighths
LekaFEV [45]

Answer:

1/4 or 0.25

Step-by-step explanation:

2/3*3/8=6/24=1/4

3 0
2 years ago
Read 2 more answers
Blake is a songwriter who collects royalties on his songs whenever they are played in a commercial or a movie. Blake will earn $
Mrac [35]

Answer:

It was played in 3 movies and in 10 commercials.

Step-by-step explanation:

110 times 3 = 330

530 minus 330 = 200

200 divided by 20 = 10

3 0
3 years ago
Help meeeeeeeeeeeeeeeeeee<br><br> 10 poiiiiintsssss
11Alexandr11 [23.1K]

Answer: no i do not agree.

Step-by-step explanation:

Try n = 2 and you will see the answer

8(2) + 6

16 + 6

22

2{4(2) + 3}

2(8+3)

2(11)

22

14(2)

All 3 do not equal to each other. Proving that Juwon's statement is wrong.

6 0
2 years ago
Read 2 more answers
Can you simplify 61/35
saw5 [17]
No. 61 is an odd number not divisible
8 0
3 years ago
Read 2 more answers
Other questions:
  • A fisherman can row upstream at 4mph and downstream at 6mph. He started rowing upstream until he got tired and then started down
    12·3 answers
  • A can holds 753.6 cubic centimeters of juice. The can has a diameter of 8 centimeters. What is the height of the can?
    14·1 answer
  • "Seven less than a number, divided by 5, is -2." Can you turn it into a equation please??
    6·1 answer
  • Solve the proportion w/36=5/18
    12·1 answer
  • Help answer Asap!! PLEASE Will give BRAINLIEST 100 POINTS Help
    9·1 answer
  • Solve for x (no need to explain but it would be best if you would because this is gonna be in my staar)
    13·1 answer
  • Find the 15th term of the geometric sequence 1, -4, 16, ...1,−4,16,
    5·1 answer
  • Can someone plssssss help me
    8·1 answer
  • the runner's time to complete the marathon is 45 minutes. The time to complete the last marathon was 49.5 minutes. What is the p
    7·1 answer
  • Multiply (x + 2)(3x² - 4x + 5).
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!