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
inn [45]
3 years ago
9

Complex root of x^2+3x+9=0

Mathematics
1 answer:
Luden [163]3 years ago
6 0

\text{Quadratic formula}

ax^2+bx+c=0\\\\\Delta=b^2-4ac\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a};\ x_2=\dfrac{-b+\sqrt\Delta}{2a}

-----------------------------------------------------------------------

x^2+3x+9=0\\\\a=1;\ b=3;\ c=9\\\\\Delta=3^2-4(1)(9)=9-36=-27\\\\\sqrt\Delta=\sqrt{-27}=\sqrt{(27)(-1)}=\sqrt{27}\cdot\sqrt{-1}=\sqrt{9\cdot3}i=\sqrt9\cdot\sqrt3i=3\sqrt3i

x_1=\dfrac{-3-3\sqrt3i}{2(1)}=-\dfrac{3}{2}-\dfrac{3\sqrt3}{2}i\\\\x_2=\dfrac{-3+3\sqrt3i}{2(1)}=-\dfrac{3}{2}+\dfrac{3\sqrt3}{2}i


i=\sqrt{-1}

You might be interested in
When the population mean and standard deviation are known, what distribution is used for the analysis of the sample?.
Kitty [74]

When the population mean and standard deviation are known, you use the standard normal distribution

<h3>How to determine the distribution?</h3>

There are several probability distributions; these include

  • Normal distribution
  • Poisson distribution
  • Chi square distribution
  • Binomial distribution
  • Etc

Of all these distribution, only the standard normal distribution can be used when the population mean and standard deviation are known,

Note that it is also referred to as the z-distribution

Read more about probability distributions at:

brainly.com/question/24756209

7 0
1 year ago
Can some solve me this one question
iogann1982 [59]
What is the question?
7 0
3 years ago
7.5.5. I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work. I then realized that
olya-2409 [2.1K]

Answer:

Given:

I usually walk from home to work. This morning, I walked for 10 minutes until I was halfway to work.

I then realized that I would be late if I kept walking.

I ran the rest of the way. I run twice as fast as I walk.

Find:

The number of minutes in total did it take me to get from home to work

Step-by-step explanation:

Had I kept walking, the second half of my trip would have taken 10 more minutes.

By doubling my speed for the second half of my trip,

I halved the amount of time it took me to finish.

So, the second half of my trip took 5 minutes, for a total trip time of  10+5 = 15 minutes.

The number of minutes in total did it take me to get from home to work is 15 minutes.

3 0
2 years ago
Read 2 more answers
What is the value of x?
Fittoniya [83]

Answer:

a

Step-by-step explanation:

6^2+8^2=100

sqrt of 100 = 10

4 0
3 years ago
Read 2 more answers
Find a,b,and c for the answer
Svetach [21]
Alright give me a second ok
3 0
2 years ago
Other questions:
  • What is the value of 'x'?
    15·1 answer
  • Multiple choice 10 points
    12·1 answer
  • B is the midpoint of AC. If AB = x+5 and BC = 2x-11 , find the measure of AB .
    5·1 answer
  • What is the fractional part of a ton is a pound?
    13·2 answers
  • Anyone wanna 1v1 on RL?
    13·1 answer
  • If PQRS is a parallelogram, what is the value of y
    14·2 answers
  • Janiel tiene cierta edad​
    13·2 answers
  • There are 138 paperclips in the jar. Ashley adds 157 more paperclips to the jar. Estimate how many paperclips are now in the jar
    5·2 answers
  • Simplify using factorising<br><br> 2x+4/x^{2}-x-6
    13·1 answer
  • Write the equation of the line in fully simplified slope-intercept form.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!