What are the real and complex solutions to the following equation? -2x^4+2x^2+4=0
Show all steps.

u=±1i or u=±√2

u=±2i or u=±√2

Answers

Answer 1

Answer:

x = ± i, x = ± [tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

- 2[tex]x^{4}[/tex] + 2x² + 4 = 0 ( divide through by - 2 )

[tex]x^{4}[/tex] - x² - 2 = 0

Use the substitution x² = u , then

u² - u - 2 = 0 ← in standard form

(u - 2)(u + 1) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 2 = 0 ⇒ u = 2

u + 1 = 0 ⇒ u = - 1

Change back into terms of x, that is

x² = 2 ( take the square root of both sides )

x = ± [tex]\sqrt{2}[/tex]

x² = - 1 ( take the square root of both sides )

x = ± [tex]\sqrt{-1}[/tex] = ± i

x = ± [tex]\sqrt{2}[/tex] ← real solutions

x = ± i ← complex solutions


Related Questions

i need some help please

Answers

Answer:

the answer is c 10 chicken and 32 cow

The Sloan family stayed in a hotel room for 6 nights while on vacation. The total cost before tax was $1,170. If the hotel room tax rate in the city is 12%, what was the total cost for the hotel room?

Answers

Answer:

Total cost for the hotel room is $1310.4

Step-by-step explanation:

The total cost before tax was $1170.

The tax rate is 12%.

So, tax paid = 12%(1170)

Convert 12% to decimal. We get 12% as 0.12

So, tax =0.12*1170 =140.4

So, total cost for the hotel room = $140.4 +$1170 =$1310.4

need help on these thank you if you do

Answers

a. p^4/p^7

that’s all i’m answering because you just have to count the number or how many of the same numbers there are and that’s your exponent value

please hurry this is Algebra 1!!!

Answers

Answer: A

[tex]256a^{20} b^{24}[/tex]

the area of a small square is 25 square units what is the exact length in units of a single of a large square

Answers

Answer:

5

Step-by-step explanation:

The area of any quadrilateral can be determined by multiplying the length of its base by its height. Since we know the shape here is square, we know that all sides are of equal length. From this we can work backwards by taking the square root of the area to find the length of one side.

Hi, may I get some help?

Answers

Answer:

First add the number of bags. Then make sure you the percent of the total of each weight.

Step-by-step explanation:

if you rlly want to know the answer its

4+10+20+24+18+6 bags is 82

4 is 4.8 percent of 82

10 is 12.1 percent of 82

20 is 24.3 percent of 82

24 is 29.2 percent of 82

18 is 21.9 percent of 82 and

6 is 7.3 percent of 82

so answer a is 40 pounds and less

29.2+24.3+12.1+4.8=70.4 percent so its wrong

so answer b is wrong too

answer c is 29.2+21.9+7.3=58.4 so its right but we have to check d

answer d is 4.8+12.1=16.9 so its wrong

THE ANSWER IS C

and may i pwetty please have brainly crown

PLs HELPPpppPPPppppPPp
13 points + brainliest pls help!!
Either send the answers or fill in the pdf using doc hub or pdf escape pls dont answer if u dont know this is really srs to me : )

Answers

Answer:

I could tell you that the fist second and third would be < > <

Step-by-step explanation:

Sam and Taylor own and operate a car wash service. Sam cleans the interior of each car and Taylor cleans the exterior. The time it takes Sam to finish the interior has a mean of 20 minutes with a standard deviation of 6.4 minutes. The time it takes Taylor to finish the exterior has a mean of 18 minutes with a standard deviation of 4.8 minutes. Both of their finishing times are approximately normally distributed.
Suppose we select a car at random, and define the random variable D as the difference between their finishing times. We can assume that their times are independent.
Find the probability that they finish within 10minutes of each other.
You may round your answer to two decimal places.
P\left(|D|<10\right)\approxP(∣D∣<10)≈P

Answers

Answer: 0.77

Step-by-step explanation:

Khan academy answer

(MC) Rewrite the rational exponent as a radical. (2 points) 5 to the 3 over 4 power, to the 2 over 3 power Select one: a. The cube root of 5 squared b. The twelfth root of 5 c. The square root of 5 d. The cube root of 5 the fourth power

Answers

Answer:

[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Given the expression;

[tex](5^{\frac{3}{4} })^{\frac{2}{3} }[/tex]

Using the law of indices that states;

[tex](a^m)^n = a^{mn}[/tex]

The expression becomes;

[tex](5^{\frac{3}{4} })^{\frac{2}{3} }\\= (5^{\frac{3}{4} \times \frac{2}{3} })\\= 5^{6/12}\\= 5^{1/2}\\= \sqrt{5}[/tex]

Hence the correct answer is [tex]= \sqrt{5}[/tex]

Which equation is modeled below?
2x+(-2)=-2x+6
4x+(-2) = -2x+6
2x+4= 6x+ 2
-2x+4 - 6x+(-2)

Answers

Answer:

4x + (-2) = -2x + 6

Step-by-step explanation:

green x represents positive x and red x represents negative

and the same thing for ones but yellow is positive

Answer:

4x + (-2) = -2x + 6

Step-by-step explanation:

green x represents positive x and red x represents negative

and the same thing for ones but yellow is positive

if i helped can i havae brainllest ❤️

I need help can someone help please !!

Answers

The answer is B and I know

A fish tank that holds 80 gallons of water is 55% full. How many gallons are
in the tank now? PLZ HELP

Answers

Answer:

55% of the fish tank is 44 gallons.

Step-by-step explanation:

To solve this, you turn the 55% into a decimal, by dividing it by 100.

55 ÷ 100 = 0.55

You then multiply the whole capacity (80) by 0.55

80 x 0.55 = 44 gallons

which statement is always true regarding the diagram

Answers

I would say C, I’m not so sure let me know if anything

If an elephant weighs more than 2000 pounds, then it weights more than 5 refrigerators.

If something weighs more than 5 refrigerators, then it is too heavy for the elevator.

Salty weighs 2150 pounds.

Answers

Answer:

If it were asking if Salty was able to go on the elevator the answer is no.

Step-by-step explanation:

What steps are needed to plot another point on this graph of equivalent ratios?

Answers

it’s the first one as your answer

It took azul 1.75 hours to bike the blue mountain trail. azul averaged 12.5 miles per hour. what is the best estemate for the length of the trail

Answers

Answer:

21.875 Miles

Step-by-step explanation:

If azul averages 12.5 miles per hour, we can multiply the time it took azul to bike up the mountain trail times the distances per hour

Solve the equation 6+2x=20
10 points!!!

Answers

Answer:

x=7

Step-by-step explanation:

2x=20-6

2x=14

x=14/2

x=7

plz help me asap plz i will mark you as brainlist

Answers

Answer:

$420

Step-by-step explanation:

130x12=1560

165x12=1980

1980-1560=420

Answer:

$420

Step-by-step explanation:

The last rate was $165, and the new one is $130. To find the difference, do this equation, 165-130=?. From that equation, you get $35. As you know, there are 12 months in a year, so you multiply $35 by 12 to get $420. There is your answer.

Find the slope of the line in the image.
someone plz helpppp

Answers

Answer:  The answer I got is -2/4 Hope this help :)

Step-by-step explanation:(-2,6)(2,4)

M=y2-y1

   x2-x1

 4-6     = -2

2-(-2)   =  4

The slope is -2/4

Answer:

-1/2

Step-by-step explanation:

Because the line segment is going from left to right down it is negative. From the end point on the it goes down 1 and over 2 consistently.

PLEASEE SOMEONE ANSWER ILL DO ANYTHING ANYTHING PLEAASEEE HELP ME this is myh 6th time posting this ;[

Answers

Answer: the third one

Step-by-step explanation:

Help me find the slope please

Answers

Pick two points
(2, 18) and (4,21)
(21-18)/(4-2) = 3/2
The slope is 3/2

Just curious what is 52 x 34 - 342

Answers

The answer is 1,426

H b e j l

Answer:

1426

Step-by-step explanation:

52 x 34 = 1768

1768 - 340 = 1426


Please help need it asap!!!!!

Answers

Answer:

A. 6.89 m

Step-by-step explanation:

Pythagorean Theorem.

a^2+b^2=c^2

(1.5)^2 + (3.6)^2 = c^2

2.25 + 12.96 = 15.21

√15.21= 3.9

find the ratio from the the left triangle to the other -

2.65÷1.5= 1.766666 × 3.69 = 6.89



A 10-ft ladder leans against the side of a house. The bottom of the ladder is 7 from the side of the house. How high is the top of the ladder from the ground?
If necessary, round your answer to the nearest tenth

Answers

12.2 i’m pretty sure i hope it helped

Ms. Guthrie spent 80% of her cash on gifts.
What fraction of her cash did she spend on gifts?
She spent type your answer...
of her cash on gift.

Answers

Answer:

She spend (8/10) or (4/5) of her cash on gift.

Step-by-step explanation:

4/5 is simplified.

but not simplified its 8/10

At every company meeting, the president speaks for 28 minutes and then takes questions from her employees. Let q represent the number of minutes she spends answering questions and t represent the total number of minutes the meeting lasts.

Answers

Answer:

t = 20 + q in minutes

Step-by-step explanation:

Company meeting = president speech + questions + answers

President speech = 20 minutes

Questions and answers = q minutes

Total time spent = t minutes

Total time spent = President speech + Total time spent

t = 20 + q

The equation that represents the relationship between q and t is

t = 20 + q in minutes

The price of milk increased from $2 to $2.50.What is the percent of the change for the price of the milk.

Answers

Answer:

20%

Step-by-step explanation:

im just built different

Answer:
25%

Step by step explanation:
Because It’s the correct answer and you should believe me.

A girl's club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is
the percent change in the total amount raised by the girl's club?
The percent change is 0.38%.
O The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.

Answers

Answer:

60%

Step-by-step explanation:

If f(x) = 3x + 2, what is f(5)?

Answers

Answer:

17

Step-by-step explanation:

f(x) is the same as y=. "What is f(5)" is the same as saying what is y=3x + 2 when x is 5.

Either way, you are going to replace x with is numerical value, which is 5, and then solve.

y = 3(5) + 2

y = 15 +2

y = 17

f(5) = 17

Need help ASAP!!!! :)

Answers

Answer:

B. All real numbers

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, we see that the line's x-values span from negative infinity to infinity. Therefore our domain encapsulates all real numbers.

Other Questions
How does exercise build muscles? which of the following quotes best sums up the authors use of irony in the text A bag has 6 red marbles, 5 bluemarbles, 7 green marbles, 2 whitemarbles, and 5 yellow marbles. Whatis the probability in fraction form ofchoosing green marble? Which of the following words describe the slope of a vertical line?a. negativec. undefinedb. positived. zero A metal ion uses d2sp3 orbitals when forming a complex. What is its coordination number and the shape of the complex? How did industrialization drive imperialism? What is the value of g(-9) for the function g(x) = x2 - x? Which of the following is guaranteed in The Bill of Rights?(A) Right to a speedy trial by jury(B) Women the right to vote(C) African-Americans the right to vote(D) The popular election of United States senators Rhoda and James both sell laptops and earn commission based on the number of laptops sold. In one month, Rhodaearns $2000 in commission for selling 10 laptops and has a base salary of $600. The money James earns for sellinglaptops in the same month is shown in the graph below. What divided by -18 = 23 If ur limbs are tingling and u have diabetes, what body system is that affecting? Where did the Aryans first settle when they arrived in India 12. How did the loss of the Massechusets charter affect the Salem witch trials? if the expression (x + 5 )to the 6th is expanded what is the coefficient of the linear X term? do 2(3x 1) = 6x 1 have one solution Suppose the waiting time in a Piggly Wiggly checkout line follows an Exponential distribution with an average wait of 7 minutes. What is the 80th percentile of waiting times? During homogeneous catalysis, if a catalyst is present in the liquid phase, which phase must the reactants be in? My sister is looking for some her type -tall, blue eyes, 15-16 age, brown hair, can dance Please help I don't understand this... will mark the best! Let v = (5,-2) and w = (4,10). Which of the following is true? Check all thatapply.A. V and w are perpendicular.B. v.w = 20C. The y-component of wis 10.D. W = -2(-2,-5)