Answers
Answer:
x = 0 , -2 , 1 +i√3 ; 1 - i√3
Step-by-step explanation:
2x⁴ + 16x = 0
2x(x³ + 8) = 0
2x(x³ + 2³) = 0
2x (x + 2)(x² -2x + 2²) = 0 {a³ + b³ = (a + b)*(a² -ab +b²}
2x = 0
x = 0
x + 2 = 0
x = -2
x² - 2x + 4 = 0
a = 1 ; b = -2 and c = 4
D = b² - 4ac = (-2)² - 4*1*4= 4 - 16 = -12
[tex]\sqrt{D} = \sqrt{-12}=\sqrt{2*2*3i^{2}}=2i\sqrt{3}[/tex]
root = (-b ± √D)/2a
= (-(-2) ± 2i√3)/2*1
= (2 ± 2i√2)/2
[tex]= \dfrac{2(1 + i\sqrt{3})}{2} \ ; \dfrac{2(1+i\sqrt{3})}{2}\\\\\\= 1 + i\sqrt{3} \ ; \ 1 - i\sqrt{3}[/tex]
Related Questions
4 5/9 is the same as the sum of 2 1/3 and 5/6 times a number. What is the number? Enter your answer as a mixed number in simplest form in the box.
PLEASE HURYYYYYYYYY
Answers
Answer:
2 2/3
Step-by-step explanation:
I did the k12 quiz
The sum of 2 [tex]\frac{1}{3}[/tex] and 5/6 times 8/3 is 4 [tex]\frac{5}{9}[/tex].
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is 4 [tex]\frac{5}{9}[/tex] is the same as the sum of 2 [tex]\frac{1}{3}[/tex] and 5/6 times a number
Assume the number to be [x]. Then, we can write -
41/9 = 7/3 + 5x/6
41/9 - 7/3 = 5x/6
(41 - 21)/9 = 5x/6
20/9 = 5x/6
x = 20/9 x 6/5
x = 4/3 x 2
x = 8/3
Therefore, the sum of 2 [tex]\frac{1}{3}[/tex] and 5/6 times 8/3 is 4 [tex]\frac{5}{9}[/tex].
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Determina el resultado de la siguiente operación -2 -7 -9
Answers
Answer:
Step-by-step explanation:
(43)*(29)
explicación paso a paso:
en una operación matemática (*) se denomina como (×)
(43)*(29)=
43×29
______= 1,274
A pack of dog food that weighs 5 kg cost $20. A smaller pack of dog food that is 500 g costs $2.50. Which one has better value?
Answers
Answer:
Step-by-step explanation:
$20 / 5 kg = $4 / kg
$2.50 / 0.5 kg = $5 / kg
the big bag is a better deal
how to do this problem
3x-2=6
Answers
Answer:
x = 2.667
Step-by-step explanation:
so first you wanna isolate the x by adding 2 to both sides
3x - 2 = 6 ---> 3x = 8
then divide both sides by 3 to get the x alone
x = 8/3 = 2.667
perform division before addition true or false
Answers
Answer:
true
Step-by-step explanation:
PEMDAS order
parenthesis->exponents->multiplication & division->addition & subtraction
Years Since
1970
7
9
17
21
Cost in
Millions
0.1
0.25
0.5
0.75
1.2
1.5
2.2
2.0
2.2
25
29
30
31
33
Linear equations
Answers
Answer:
thanks for the points bye bye man is well with you and your family a very happy and prosperous New year
Step-by-step explanation:
thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in
thanks for the points bye bye man
Can someone help me with this question?
Answers
Answer:
4.39%
Step-by-step explanation:
- chefs/head was facing the larger percent decrease
- by this much:
[tex] \frac{ 100 - x }{100} = \frac{95700}{100100} \\ \\ x = \frac{400}{91} \\ \\ x = 4.39\%[/tex]
The ratio of people who saw a comedy movie to people who saw a documentary movie at the movie theater was 9 to 2. Of the people who saw a comedy, 25% of them spent more than $10 at the concession stand. If 176 people saw either a comedy or documentary at the theater last night, how many of the people who saw a comedy spent less than $10 at the concession stand?
Answers
Answer:
104
Step-by-step explanation:
Hello traveler! Your daily Genshin Impact question here!
Q : What is the max AR ( Adventure Ranks ) in Genshin Impact?
Please answer for a generous reward!
- Hu Tao
Answers
Answer:
The maximum AR is AR60 final answer
Answer: Its AR 60.... I'm only AR 49
SOMEONE PLEASE HELP I will mark you BRAINLIST
Answers
Answer:
20 degrees
Step-by-step explanation:
both triangles are co friend and 90+70=160 180+160=20
Answer:
x=20 degrees
Step-by-step explanation:
All angles in a triangle add up to 180 degrees.
gayle made a baby quilt using 24 equal squares. she wants to know the side length of one square. the right side and the left side are 3 ft long aqnd the top and bottom are 4.5 feet long.
Answers
The side lengths quilt is:
Length- 4.5 ft
Breadth- 3 ft
Pls help I am desperate
Answers
follow the steps shown on the photo
9514 1404 393
Answer:
7/5x -1/3
Step-by-step explanation:
We assume you want to simplify this expression.
[tex]\dfrac{-3}{5}x-\dfrac{1}{4}\cdot\left(-8x+\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=-\dfrac{3}{5}x+\left(-\dfrac{1}{4}\right)\cdot(-8x)+\left(-\dfrac{1}{4}\right)\cdot\left(\dfrac{5}{6}\right)-\dfrac{1}{8}\\\\=\left(-\dfrac{3}{5}+2\right)x-\left(\dfrac{5}{24}+\dfrac{1}{8}\right)\\\\=\dfrac{7}{5}x-\dfrac{5+3}{24}=\boxed{\dfrac{7}{5}x-\dfrac{1}{3}}[/tex]
_____
Additional comment
2 = 10/5; 1/8 = 3/24; 8/24 = 1/3. The x-terms get combined and the constants get combined. It is generally helpful to eliminate parentheses first using the distributive property.
When solving multi-step problems, what is normally done first?
Answers
Answer:
Read and Visualize.
Step-by-step explanation:
The first thing we do with a multi-step word problem is read it slowly and visualize what is happening. This first step is about using our good reading comprehension strategies. I ask students to close their eyes and imagine the events as they take place.
Mia is working two summer jobs, making $18 per hour lifeguarding and making $10 per hour washing cars. In a given week, she can work at most 13 total hours and must earn a minimum of $180. If x represents the number of hours lifeguarding and y represents the number of hours washing cars, write a system of inequalities to represent the situation.
Answers
Answer:
18x+10y>=180
x+y<=13
Step-by-step explanation:
she can't work more than 13 hours, but has to make at least $180
Solve for x
-4.5 = -0.5(x – 7.1)
Answers
Answer:
16.1
Step-by-step explanation:
- 4.5 = - 0.5 ( x - 7.1 )
Divide - 0.5 on both sides,
- 4.5 / - 0.5 = - 0.5 ( x - 7.1 ) / - 0.5
9 = x - 7.1
Add 7.1 on both sides,
9 + 7.1 = x - 7.1 + 7.1
16.1 = x
x = 16.1
Answer:
16.1
Step-by-step explanation:
✌️❤️✌️
..........
What is the product
of -5.6 and 12.04?
Answers
the answer to your question is -67.424
What is the slope-intercept form of a line that passes through points (2, 11) and (4, 17)?
O y=-3x-5
O y = 3x-5
O y=-3x+5
O y=3x+5
Answers
Answer:
y=3x+5
Step-by-step explanation:
easy math❤
A new work truck sells for $55,000 and depreciates at $ -6,500 per year. Write a
linear function of the form y=mx+b to represent the value y of the vehicle x years
after purchase. Use your formula to find the value of the truck 5 years after
purchase.
per year.
Answers
Answer:
y = -6500x +55000$22,500 after 5 yearsStep-by-step explanation:
In the formula ...
y = mx + b
the value of m is the change per year, and the value of b is the initial value. Using the given information, the equation is ...
y = -6500x +55000
__
When x=5, the value is ...
y = -6500(5) +55000 = -32500 +55000 = 22500
The value of the truck after 5 years is $22,500.
What expression is equivalent to 48+60
Answers
Answer:
48 + 60 is equivalent to 108
Step-by-step explanation:
(I am giving branlest) (plz help only if you understand )
Solve one seventh plus nine fourteenths equals blank
A ten fourteenths
B eleven fourteenths
C ten sevenths
D eleven sevenths
Answers
Answer:
its 11/14 so its B hope this helps
Hi! I need help ASAP!!!
Chris and Michelle are professional divers. During one of their dives, Chris goes 40 meters below the surface of the water, and Michelle dives 13 meters below Chris. What is Michelle's position in meters?
Answers
Answer:
The answer is -53
Step-by-step explanation:
-40-13=-53
hope you get it right
Answer:
The answer would be 53 meters below the surface
Step-by-step explanation:
If Chris is at -40 meters (meaning that he is 40 meters under the surface or, zero.) You would subtract 13 from that original depth of -40 in order to get -53 meters below the surface or 53 meters deep.
Leah ran the mile in 12.08 minutes
on Tuesday. She ran the mile 1.42
minutes faster on Thursday. How
long did it take Leah to run the mile
on Thursday? PLEASE
Answers
Answer:
12.08-1.42=10.66
it takes 10.66 minutes on Thursday to run a mile
participants were asked overall do you approve or disapprove a normal model is appropriate fit for the sampling distributions of sample differences true or false
Answers
Answer:
false
Step-by-step explanation:
hi there please explain how to solve or factorise this as i dont know the formula plus how to do ?:)
(x^2+1)?
Answers
Steps:
Writing down the equation. x^2 + 1 = 0.Subtract 1 from both sides. x^2 = -1Square root (I am going to use the abbreviation sqrt) on both sides. x = sqrt (-1)sqrt (-1) is simplified as i (or imaginary number). Because of the sqrt, it would be plus or minus.(x+i)(x-i) is your answer. If you are in a lower math class (mentioning 10th grade or below), you should just put no solution.Hello,
We cannot factorize this binomial expression using normal factorization method.
if you have studied complex numbers method, then you can solve.
Here are the steps :-
[tex]{x}^{2} = (x)(x)[/tex]
[tex]→1 = (i)( - i)[/tex]
Now multiply,
[tex](x)(i) + (x)( - i) = (xi) - (xi) = 0[/tex]
[tex]→(x + i)(x - i)[/tex]
Therefore, the factors are (x+i)(x-i) :-
[tex]→ {x}^{2} = (x + i)(x - i)[/tex]
10 1/2 divided by 2 3/4 =
Answers
Answer:3 9/11
Step-by-step explanation:
First we need to convert both numbers to mixed numerals. Just search it up on the internet if ur dont know how to do that. Then once you have them both, 21/2 and 11/4, you divide the fractions (multiply by reciprocal) and you get 42/11. reconvert back to mixed numeral and u get 3 9/11
Answer:
3.81818181818
Multiple choice what is -1.8 - 3.9=
Answers
Answer:
1. -5.7
Step-by-step explanation:
When a negative number and another negative number are being added together (but this differs in multiplication and division though), the answer will always be negative, unless a greater positive (combination or single) number is being added to those, but in this case, it is just two negative numbers. What you can do here is add the absolute values of the negative numbers, which would be 1.8 + 3.9, since absolute values are always positive numbers. Once you add these values, which gives you 5.7, you make the answer negative, because before, you were adding negative numbers, so your answer would be -5.7.
Just so you can make sure your answers are correct for the next ones:
2. -2
3. -4.4
solve for x
7.50x - 6.25 = 26.25
Answers
Answer:
4 1/3
Step-by-step explanation:
7.50x-6.25=26.25
7.5x=26.25+6.25
=32.5
x=32.5÷7.5
=4 1/3
Answer:
4.33333333333 or 4 1/3
Step-by-step explanation:
Inverse operations
26.25 + 6.25 = 32.5
32.5 Divided by 7.50 = 4.33333333333
Answer = 4.33333333333
11. A friend of yours is graduating college next month. He has had a credit card and student loans for the past few years, but he’s never bothered to check his credit report
Answers
so what's the question ⁉️
252.345x624.56. Explanation
Answers
Answer:
157604.593
Step-by-step explanation:
Write the ratio as a fraction in simplest form 2 5/7 to 1 1/7
Answers
Answer:
25:7
11:7
Step-by-step explanation:
No explanation
9514 1404 393
Answer:
19/8
Step-by-step explanation:
The ratio is ...
(2 5/7)/(1 1/7) = (19/7)/(8/7) = 19/8
