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
Alinara [238K]
3 years ago
5

Complex solutions of x^2+3x+4=0?

Mathematics
1 answer:
GuDViN [60]3 years ago
3 0

Answer:

\displaystyle \large \boxed{x =  \frac{ - 3 \pm  \sqrt{ 7}i  }{2} }

Step-by-step explanation:

We are given the equation:

\displaystyle \large{ {x}^{2}  + 3x + 4 = 0}

Since the expression is not factorable with real numbers, we use the Quadratic Formula.

<u>Q</u><u>u</u><u>a</u><u>d</u><u>r</u><u>a</u><u>t</u><u>i</u><u>c</u><u> </u><u>F</u><u>o</u><u>r</u><u>m</u><u>u</u><u>l</u><u>a</u>

\displaystyle \large{x =  \frac{ - b \pm  \sqrt{ {b}^{2}  - 4ac} }{2a} }

Compare the expression:

\displaystyle \large{a {x}^{2} + bx + c =   {x}^{2}  + 3x + 4 }

a = 1

b = 3

c = 4

Substitute a = 1, b = 3 and c = 4 in the formula.

\displaystyle \large{x =  \frac{ - 3 \pm  \sqrt{ {3}^{2}  - 4(1)(4)} }{2(1)} } \\  \displaystyle \large{x =  \frac{ - 3 \pm  \sqrt{ 9  - 16} }{2} } \\ \displaystyle \large{x =  \frac{ - 3 \pm  \sqrt{  - 7} }{2} }

<u>I</u><u>m</u><u>a</u><u>g</u><u>i</u><u>n</u><u>a</u><u>r</u><u>y</u><u> </u><u>U</u><u>n</u><u>i</u><u>t</u>

\displaystyle  \large{i =  \sqrt{ - 1} }

Therefore,

\displaystyle \large{x =  \frac{ - 3 \pm  \sqrt{ 7} \sqrt{ - 1}  }{2} } \\ \displaystyle \large{x =  \frac{ - 3 \pm  \sqrt{ 7}i  }{2} }

You might be interested in
Korey is planning to open a comic book store near his home. After completing a population survey for 3,520 homes in a 5 mile rad
Lisa [10]
The is answer is definitely D, because he computed the total population of 3,320 in the survey of his targeted people that he specified which was grade school and high school. In order for his computation to work for his market analysis he used the radius of 5m and the 75% he wanted to achieve.
3 0
3 years ago
Can you show your work for me on divided Omg 0.6 and 12.9
Anna007 [38]
0.6 divided by 12.9.

0.6 is outside the house for the divide then inside the house is 12.6
then you move your decimal point over 1 place so its 06 divide by 126. 
after that 6 goes into 12 twice then your have a remainder of 09 then 6 goes into 9 once, our remainder is 3, then you put a 0 at the end of the decimal point of the 126. after that you bring down your zero and 6 goes into 30 five times.
Answer 21.5
5 0
3 years ago
Read 2 more answers
Graph the function y = x3 + x2 – 6x + 5. What are the coordinates, to the nearest tenth, of the relative maximum of the graph? (
Debora [2.8K]

Answer:A

Step-by-step explanation:edge

6 0
3 years ago
Read 2 more answers
If you answer this, you tube recommendations will act weird again
KiRa [710]

Answer:

MUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDAMUDA

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Make a dot plot for each set of data. Compare and contrast the shape, spread, and center of the data.
jeka94

Set A has a peak at 5. It is also skewed to the right. The center is 5.

Set B also has a peak at 5. Is relatively symmetrical. The center is also 5.

(Sorry about those circle in the back of my picture)

6 0
3 years ago
Other questions:
  • The regression calculator shows the relationship between the hours Devin spent playing a video game, x, and the levels he achiev
    11·1 answer
  • Please hurry it’s urgent <br> Thank you for your time
    5·1 answer
  • 1. Which expression is equivalent to 2(3x + 4)(x - 1)(x - 3)?
    9·1 answer
  • Arthur baked 1 7/12 dozen muffins. Nina baked 1 1/12 dozen muffins. How many dozen muffins did they bake in all?
    13·1 answer
  • Let f(x) = -x -5 F(4)
    5·1 answer
  • during a promotion bags of sweets contain 30% extra free. There are 65 sweets in a bag during the promotion. How many sweets are
    8·1 answer
  • What steps can you use to solve the inequality4-5x&gt;-21 and what is the solution
    5·1 answer
  • Mrs. Jones is creating a seating chart for the front row of her classroom. She has 10 possible students to place in the front ro
    12·1 answer
  • How do i solve tis in need help ASAP<br> slope=2/7 y-intercept=-4
    10·1 answer
  • Joey bought a dozen oranges for $3.50 and several bananas for $0.25 each at the grocery store. Joey spent a total of $5.75 on th
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!