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
Iteru [2.4K]
2 years ago
12

Write a second degree polynomial with real coefficients and the given root; -2i

Mathematics
2 answers:
user100 [1]2 years ago
8 0

Answer:   x^2+4

Work Shown:

x = -2i

x^2 = (-2i)^2

x^2 = 4i^2

x^2 = 4(-1)

x^2 = -4

x^2+4 = 0

Side note: Since -2i is one root, this means 2i is the other conjugate root.

Pie2 years ago
3 0

\text{For  quadratic equations, if one root is complex, the other root will be its conjugate.}\\\\\text{So, the roots of the second degree polynomial are}~ \alpha = -2i ~~ \text{and}~~ \beta =2i \\\\\text{The equation is,}\\\\~~~~~~~x^2-(\alpha + \beta) x +\alpha \beta = 0\\ \\\implies x^2 -(-2i+2i)x +(2i)(-2i)=0\\\\\implies x^2 -0\cdot x -4i^2 =0\\ \\\implies x^2 -4(-1)=0\\\\\implies x^2 +4=0

You might be interested in
Show calculations for each of the ratio table
Sladkaya [172]

Answer:

From left to right:

3, 30, 20

Step-by-step explanation:

Start by determining the ratio of yellow to red paint. Use the column where both amounts are given:

yellow to red = 2 to 6 = 1 to 3

2 to 6 the same as 1 to 3 when reduced, by dividing both sides by 2.

This means yellow paint is a third of red paint. Backwards, red paint is three times yellow paint.

To go from yellow to red, do yellow X 3.

To go from red to yellow, do red ÷ 3.

Column 1:

1 X 3 = 3

Column 3:

10 X 3 = 30

Column 4:

60 ÷ 3 = 20

The ratios are:

1 to 3

2 to 6

10 to 30

20 to 60

4 0
3 years ago
100 points
mylen [45]

Answer:127

all you do is subtract -70 by 57 and it will give you a negative but get rid of it and you get 127 or just take the - away from -70 and add 57

3 0
2 years ago
HELP ASAP I WILL GIVE BRAINLIEST
melomori [17]

Answer:

x = 15

Step-by-step explanation:

The easiest way to solve this is to realise that a triangle takes up half the area of a rectangle of the same width and height.

We are told that the width of the triangle is 10, and that the line of length 10 is perpendicular to the longest side of the triangle.  Because of that we know that x can be multiplied by ten to get the area of the rectangle that is twice the area of the triangle.

We are also told that the triangle's area is 75 units.  With all of that put together, we can say:

a = (10 * x) / 2\\75 = 5 * x\\x = 15

3 0
3 years ago
What ratio is equivalent to 5/45
ad-work [718]

Hi There!

Step-by-step explanation:

5/45 = 1/9

Answer:

A ratio that is equivalent to 5/45 is 1/9!

Hope This Helps :)

5 0
3 years ago
Can someone please answer. There is a picture. There is only one question. Thank you so much
Sloan [31]
So than you check this graph so you see that the radius has a length of 4 units 
from what result that thet x^2 +y^2 =4 

so the choice 3rd is right sure 
3 0
3 years ago
Other questions:
  • Find (f^-1)'(a):<br> f(x) = 3+x^2+tan(pi(x)/2), <br> -1
    13·1 answer
  • eva and Liam are reading a novel in their English class. Liam has read 17 pages less than eva has. if they had read 265 pages co
    8·2 answers
  • Suppose that G(x) = F(x - 6) - 3. Which statement best compares the graph of G(x) with the graph of F(x)?
    6·2 answers
  • What is the mode of the data set?
    13·2 answers
  • A study was conducted of pleas made by 1 comma 0.32 criminals. Among those​ criminals, 953 plead​ guilty, and 393 of them were s
    14·1 answer
  • 20 points
    6·1 answer
  • 1368⁄75 is approximately equal to what value
    7·1 answer
  • U + 4u (u = 6) Answer please<br><br><br><br><br><br><br> What're yu still doing up? *_*
    10·2 answers
  • 10cm 3mm - 4.8cm<br> I do not understand that well can someone please help no need to explain
    14·2 answers
  • Right. This is French, but I can’t choose both subjects, so y’all can help in any of both languages idrc. I just have zero soddi
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!