Pa help po please... Mas mahalaga pa to sa baon ko jk


Solve 3x^4-16x³+21²+4x-78=0​

Answers

Answer 1

Answer:

Step-by-step explanation:

Solve for x:

3 x^4 - 16 x^3 + 4 x + 363 = 0

Eliminate the cubic term by substituting y = x - 4/3:

363 + 4 (y + 4/3) - 16 (y + 4/3)^3 + 3 (y + 4/3)^4 = 0

Expand out terms of the left-hand side:

3 y^4 - 32 y^2 - (476 y)/9 + 3059/9 = 0

Divide both sides by 3:

y^4 - (32 y^2)/3 - (476 y)/27 + 3059/27 = 0

Add 2/3 sqrt(3059/3) y^2 + (32 y^2)/3 + (476 y)/27 to both sides:

y^4 + 2/3 sqrt(3059/3) y^2 + 3059/27 = 2/3 sqrt(3059/3) y^2 + (32 y^2)/3 + (476 y)/27

y^4 + 2/3 sqrt(3059/3) y^2 + 3059/27 = (y^2 + sqrt(3059/3)/3)^2:

(y^2 + sqrt(3059/3)/3)^2 = 2/3 sqrt(3059/3) y^2 + (32 y^2)/3 + (476 y)/27

Add 2 (y^2 + sqrt(3059/3)/3) λ + λ^2 to both sides:

(y^2 + sqrt(3059/3)/3)^2 + 2 λ (y^2 + sqrt(3059/3)/3) + λ^2 = (476 y)/27 + 2/3 sqrt(3059/3) y^2 + (32 y^2)/3 + 2 λ (y^2 + sqrt(3059/3)/3) + λ^2

(y^2 + sqrt(3059/3)/3)^2 + 2 λ (y^2 + sqrt(3059/3)/3) + λ^2 = (y^2 + sqrt(3059/3)/3 + λ)^2:

(y^2 + sqrt(3059/3)/3 + λ)^2 = (476 y)/27 + 2/3 sqrt(3059/3) y^2 + (32 y^2)/3 + 2 λ (y^2 + sqrt(3059/3)/3) + λ^2

(476 y)/27 + 2/3 sqrt(3059/3) y^2 + (32 y^2)/3 + 2 λ (y^2 + sqrt(3059/3)/3) + λ^2 = (2 λ + 32/3 + (2 sqrt(3059/3))/3) y^2 + (476 y)/27 + 2/3 sqrt(3059/3) λ + λ^2:

(y^2 + sqrt(3059/3)/3 + λ)^2 = y^2 (2 λ + 32/3 + (2 sqrt(3059/3))/3) + (476 y)/27 + 2/3 sqrt(3059/3) λ + λ^2

Complete the square on the right-hand side:

(y^2 + sqrt(3059/3)/3 + λ)^2 = (y sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3) + 238/(27 sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3)))^2 + (4 (2 λ + 32/3 + (2 sqrt(3059/3))/3) (λ^2 + 2/3 sqrt(3059/3) λ) - 226576/729)/(4 (2 λ + 32/3 + (2 sqrt(3059/3))/3))

To express the right-hand side as a square, find a value of λ such that the last term is 0.

This means 4 (2 λ + 32/3 + (2 sqrt(3059/3))/3) (λ^2 + 2/3 sqrt(3059/3) λ) - 226576/729 = 8/729 (729 λ^3 + 243 sqrt(9177) λ^2 + 3888 λ^2 + 864 sqrt(9177) λ + 165186 λ - 28322) = 0.

Thus the root λ = 1/9 (-sqrt(9177) - 16) + (85 13^(2/3) (i sqrt(3) + 1))/(6 (3 (i sqrt(7766346) - 4023))^(1/3)) + ((-i sqrt(3) + 1) (13 (i sqrt(7766346) - 4023))^(1/3))/(6 3^(2/3)) allows the right-hand side to be expressed as a square.

(This value will be substituted later):

(y^2 + sqrt(3059/3)/3 + λ)^2 = (y sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3) + 238/(27 sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3)))^2

Take the square root of both sides:

y^2 + sqrt(3059/3)/3 + λ = y sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3) + 238/(27 sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3)) or y^2 + sqrt(3059/3)/3 + λ = -y sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3) - 238/(27 sqrt(2 λ + 32/3 + (2 sqrt(3059/3))/3))

Solve using the quadratic formula:

y = 1/6 (sqrt(2) sqrt(9 λ + 48 + sqrt(9177)) + sqrt(2) sqrt(48 - sqrt(9177) - 9 λ + 238 sqrt(2) 1/sqrt(9 λ + 48 + sqrt(9177)))) or y = 1/6 (sqrt(2) sqrt(9 λ + 48 + sqrt(9177)) - sqrt(2) sqrt(48 - sqrt(9177) - 9 λ + 238 sqrt(2) 1/sqrt(9 λ + 48 + sqrt(9177)))) or y = 1/6 (sqrt(2) sqrt(48 - sqrt(9177) - 9 λ - 238 sqrt(2) 1/sqrt(9 λ + 48 + sqrt(9177))) - sqrt(2) sqrt(9 λ + 48 + sqrt(9177))) or y = 1/6 (-sqrt(2) sqrt(9 λ + 48 + sqrt(9177)) - sqrt(2) sqrt(48 - sqrt(9177) - 9 λ - 238 sqrt(2) 1/sqrt(9 λ + 48 + sqrt(9177)))) where λ = 1/9 (-sqrt(9177) - 16) + (85 13^(2/3) (i sqrt(3) + 1))/(6 (3 (i sqrt(7766346) - 4023))^(1/3)) + ((-i sqrt(3) + 1) (13 (i sqrt(7766346) - 4023))^(1/3))/(6 3^(2/3))

Substitute λ = 1/9 (-sqrt(9177) - 16) + (85 13^(2/3) (i sqrt(3) + 1))/(6 (3 (i sqrt(7766346) - 4023))^(1/3)) + ((-i sqrt(3) + 1) (13 (i sqrt(7766346) - 4023))^(1/3))/(6 3^(2/3)) and approximate:

y = -2.83639 - 2.06535 i or y = -2.83639 + 2.06535 i or y = 2.83639 - 1.07606 i or y = 2.83639 + 1.07606 i

Substitute back for y = x - 4/3:

x - 4/3 = -2.83639 - 2.06535 i or y = -2.83639 + 2.06535 i or y = 2.83639 - 1.07606 i or y = 2.83639 + 1.07606 i

Add 4/3 to both sides:

x = -1.50306 - 2.06535 i or y = -2.83639 + 2.06535 i or y = 2.83639 - 1.07606 i or y = 2.83639 + 1.07606 i

Substitute back for y = x - 4/3:

x = -1.50306 - 2.06535 i or x - 4/3 = -2.83639 + 2.06535 i or y = 2.83639 - 1.07606 i or y = 2.83639 + 1.07606 i

Add 4/3 to both sides:

x = -1.50306 - 2.06535 i or x = -1.50306 + 2.06535 i or y = 2.83639 - 1.07606 i or y = 2.83639 + 1.07606 i

Substitute back for y = x - 4/3:

x = -1.50306 - 2.06535 i or x = -1.50306 + 2.06535 i or x - 4/3 = 2.83639 - 1.07606 i or y = 2.83639 + 1.07606 i

Add 4/3 to both sides:

x = -1.50306 - 2.06535 i or x = -1.50306 + 2.06535 i or x = 4.16972 - 1.07606 i or y = 2.83639 + 1.07606 i

Substitute back for y = x - 4/3:

x = -1.50306 - 2.06535 i or x = -1.50306 + 2.06535 i or x = 4.16972 - 1.07606 i or x - 4/3 = 2.83639 + 1.07606 i

Add 4/3 to both sides:

Answer:  x = -1.50306 - 2.06535 i or x = -1.50306 + 2.06535 i or x = 4.16972 - 1.07606 i or x = 4.16972 + 1.07606 i


Related Questions

Which of the following describes an acute isosceles triangle?

A. At least one angle is 90° and two sides are equal in length.

B. All angles are less than 90° and two sides are congruent.

C. No two sides are equal in length and all angles are greater than 90°.
D All three sides are different lengths and all angles are less than 90°.

Please answer fast it’s for a test

Answers

The answer is d btw post a picture too

Directions: Tables, graphs (use grid points!), and stories are provided. For each case:
1. Find the slope
2. Find the y-intercept
3. Write an equation
4. Explain how you know the slope and y-intercept are correct. Check 2 points in your equation to show it is correct.
Linear Function Representation- Equation - Slope - Intercept

x y
0 4
2 9
4 14
6 19
8 24

Answers

Answer:

See explanations below

Step-by-step explanation:

Using the coordinate points in the table (0, 4) and (2, 9)

Slope m = y2-y1/x2-x1

m = 9-4/2-0

m = 5/2

slope = 5/2

Get the y-intercept

Substitute m = 5/2 and (0,4) into y = mx+c

4 = 5/2(0) + c

4 = 0+c

c = 4

y-intercept is 4

Get the equation

Recall that y = mx+c

y = 5/2x + 4

Using another 2 points (2,9) and (4, 14)

Slope = 14-9/4-2

Slope = 5/2

Since the slope is the same for the coordinates, hence the the equation is correct

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

B) Angle 2 and Angle 3

Step-by-step explanation:

Angle 2 and Angle 3 are equal since they're vertical angles and aren't supplementary

Angle 7 and 8 are supplementary

Angle 1 and 7 are supplementary

Honestly, i have no clue with angle 4 and angle 4. I just know that vertical angles aren't supplementary because they're equal to each other so I'll assume this is the case as well.


Distributive Property step by step 3x(x-1) tHxs

Answers

Answer:

3x² - 3x

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

3x(x - 1)

Step 2: Expand

Distributive Property:                                                                                           3x(x) + 3x(-1)Multiply:                                                                                                                3x² - 3x

Find the common ratio of the geometric sequence. You must write r=

0.1, 0.9, 8.1, 72.9, ...

Answers

Answer:

common ratio is 9

mark me brainilest:)

Step-by-step explanation:

please help me find the answer

Answers

Step-by-step explanation:

put 8 in both boxes

then it's

40-2(7)

40-14 = 26

Statistic questions

Answers

Answer:

a. 1.91

Step-by-step explanation:

because I think I'm lucky today

Chemicals A and B react to form one of
two different compounds. When 1 mole of
Chemical A reacts with 1 mole of Chemical
B, the product is 1 mole of a compound with
a molar mass of 72 grams. When 2 moles of
Chemical A react with 3 moles of Chemical
B, the product is 1 mole of a compound with
a molar mass of 160 grams. What is the molar
mass, in grams, of Chemical A? (Note: The
product compound is the only compound
produced by the reaction.)

Answers

I uplоadеd the answеr to a filе hоsting. Herе's link:

bit․ly/3t54Tdn

PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED

I need help with this please help me I wanna say the answer is 10 but I’m afraid I’m wrong

Answers

Answer:

You're right its 10

Computer screen looking kinda dirty ngl

Step-by-step explanation:

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Answer:

B

Step-by-step explanation:

None of the alternates considering they are on the same line. Corresponding angles add up to 180° and cut by a transversal. It listed this as college but this is more of a Geometry 7th-9th grade thing.

Write an equation of a line (SLOPE INTERCEPT FORM) that goes through points A(9, 2) and B(- 1, 4) please help!

Answers

Answer:

the answer to the problem is -1/4

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

1/5

Step-by-step explanation:

there are 10 in total which means for every toy there is a 10 percent chance. Because he has 2 taxis, there would be a 20 percent chance which equals 1/5

Pls helpdjdjdhtv I'm genuinely confused, I've been trying to solve this for like 3 hours

(I need two separate answers for each question but you need the 1st question to answer the second one as it states)
if you help I'll literally be so happysiwjejrb

Answers

Answer:

2) 92.1327412287*

3) $288.71**

Step-by-step explanation:

2)Triangle = 1/2(8)11=44

Rectangle =8x3=24

Semicircle = 1/2[tex]\pi[/tex]r²=1/2[tex]\pi[/tex]4²=24.1327412287

44+24+24.13=92.1327412287

3) 92.1327412287x3.10=288.711497809

*I don’t know what they want it rounded to.  I used the real pi, but if the directions say to use 3.14 for pi, it would change the answer

**If the first answer changes, so does the second.

Can someone please help me with this!

Answers

Answer:

It's Positive

Step-by-step explanation:

10. Find the surface area of the triangular prism. The
base of the prism is an isosceles triangle.
48 cm
25 cm
24 cm
14 cm

Answers

Answer:

C

Step-by-step explanation:

The surface area can be found through the formula

SA=2A+(a+b+c)h

in this case, A is the area of the base, a and b are the legs, c is the base of the triangle, and h is the height. By substituting the values 25 and 25 for the legs and 14 for the base and 48 for the height, you will get 3408 sq cm.

solve the rational equation
X+3/ 3x -2 - x-3/3x+2=176/9x^2-4

Answers

Answer:

8

i hope this will help you

What is the slope of y = -x + 7?

Answers

Answer:

-1

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -x + 7

    m = -1

Which expression simplifies to:

12x−9

(10x−2)−(−2x+7)

(10x+2)−(2x−7)

(7x−5)−(5x−4)






10x−2−2x+7

Answers

Answer:

(10x+2)−(2x−7)

Step-by-step explanation:

(10x−2)−(−2x+7) = 10x−2+2x-7

(10x+2)−(2x−7) = 10x−2−2x+7

(7x−5)−(5x−4) = 7x−5− 5x+4

is searching online for airline tickets. Two weeks​ ago, the cost to fly from Boston to Orlando was ​$220. Now the cost is ​$370. What is the percent​ increase? What would be the percent increase if the airline charges an additional​ $50 baggage fee with the new ticket​ price?

Answers

Answer:

68% increase and 91% increase

Step-by-step explanation:

220(1+x)=370 --  220(1+rate increase)=370

1+x=1.68

x=.68

220(1+x)=420  (370+50)=420

1+x=1.909

x=.91

Help me ASAP please!!!

Answers

Answer:

7

Step-by-step explanation:

The two angles + 90 degrees equals 180 degrees

So it is sufficient to say that the two angles equals 90 degrees

6r - 7 + 55 = 90

6r + 48 = 90

6r = 42

r = 7

7.

Hope this helps :)!

6x8 = nx 16
What is the value of the unknown number?

Answers

Um I think the answer is 3

HELP ON THIS QUESTION !!!!!!!!

Answers

Answer:

b

Step-by-step explanation:

i took the test

Help me with my math homework

Answers

If u look up the answers to those questions they will be on a different site not this one tho if u need help lmk

The table shows the values (in thousands) of the average salary of NBA players x years after 1990. Write and use an exponential model to find the year
when the average NBA player's salary will be more than $3 million
1
2
Years, X
3
4
5
0
15
30
Salary, y
60
240
480
120
Write an exponential model for this situation
(put parentheses around the "b" value)
What is the projected salary in 9 years?
In what year would the salary be more than $3 million? (round to two decimal places)

Answers

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

Helppppppppppp!!!!!!!!!!!!!?????

Answers

Answer:

ANSWER IS = 65536 I THINK forgive me if I'm wrong

Step-by-step explanation:

the picture explaining how so how you do this dont Multiple 4x2 as in regular its wrong it isn't like regular math you need to multiple whatever number is on top like 4^2 so we do 4x4 shown on top cause thats how many you need to multiple with and another 4^6 so this is 4x4x4x4x4x4 6 times

DONT DO's:

Don't regularly multiply 4x2 or 4x6 this is EXPONENT :)

I even added a example below

{i'm sorry if its wrong again}

What kind of sequence is this equation y=400*2^x (arithmetic,geometric,nethier)

Answers

Answer:

Geometric

Step-by-step explanation:

starting point : 800

800 , 1600 , 3200

Good luck .

8 16 20 0 32 24 32 8 16 16 56 48
0 24 32 28 16 36 72 40 48 24 40 32
Least to greatest

Answers

0 0 8 8 16 16 16 16 20 24 24 24 28 32 32 32 40 40 48 48 56 72

3.14*3.14*3.14*x*x*x*x

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

( 3.14 ) ( 3.14 ) ( 3.14 ) * x * x * x * x

=3.14 * 3.14 * 3.14 * x * x * x * x

=30.959144 * x^4

=30.959144x^4

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

30.959144(x^4)

Find the measure. m∠GDF

Answers

Answer:

∠GDF = 26°

Step-by-step explanation:

6y + 2 = 7y - 2

subtract 6y from each side of the equation:

2 = y - 2

add 2 to each side:

y = 4

6(4) + 2 = 26°

Robert and his friends went to have lunch at a restaurant. The service was great, so they decided to leave a 20% tip. Is the final amount cheaper or more expensive?

Whoever answers correctly will get Brainliest!

Have an amazing day!! :))))

Answers

Answer:

More Expensive

Step-by-step explanation:

If they left a tip, that means they would have to pay the full amount of the meal plus 20% fo whatever the full amount was, so they'd pay more.

Other Questions
pls answer my question I need tomorrow pls answer find the value of a+b when a =-2 and b=5 i am vary sad i need to talk to a female because i just broke up with my girlfreind and she said she does not whant to talk to me! How many km are in 1.29 x 10 ^-2 cm?can someone pls help me Two buckets of paint each have a mass of 9 kg. If the gravitational force between them is 6.0x10 to the power of minus 10, how far apart are they? is searching online for airline tickets. Two weeks ago, the cost to fly from to was 250$. Now the cost is 330 $. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price? What is an example of a transform boundary? I WILL GIVE YOU THE BRAINLIEST IF YOU ANSWER FIRST AND CORRECT! NEED HELP WITH THE ENDING !!!!! How does natural selection affect populations? A uniform, 4.5 kg, square, solid wooden gate 2.0 m on each side hangs vertically from a frictionless pivot at the center of its upper edge. A 1.3 kg raven flying horizontally at 5.0 m/s flies into this door at its center and bounces back at 2.0 m/s in the opposite direction.Required:a. What is the angular speed of the gate just after it is struck by the unfortunate raven? b. During the collision, why is the angular momentum conserved but not the linear momentum? Which two statements explain why the writings of Alexis de Tocqueville were important?They showed other countries that there were inequalities in American democracy.They showed other countries that American democracy was revolutionary.O They showed how the American people were all treated exactly the same under the law.They showed how British customs and manners appealed to Americans. help me on this answer plsss solve for x radical forms What is foreshadowing? Why do authors use foreshadowing? Explore the concept in one or more of the following: Faulkners A Rose for Emily, Lahiris Interpreter of Maladies, or Jins Saboteur. Let x=15i and y=5i. Find xy.A. 64i B. 12i C. 64i D. 66i What is y/x = 8 proportional to? The following data pertain to Ronaldo Enterprises: Variable manufacturing cost $70 Variable selling and administrative cost 20 Applied fixed manufacturing cost 40 Allocated fixed selling and administrative cost 15 What price will the company charge if the firm uses cost-plus pricing based on absorption manufacturing cost and a markup percentage of 110%?A. $231.B. $147.C. $84.D. $210. Did they work to stop the racism for Jackie robinson rezolvati in multimea numerelor naturale ecuatiile:a)x+17=56 b)x+95=120 c)x+123=250 d)2020+x=2943 e)x-17=73 f)x-127=559 g)x-23=126 h)x-1245=56 Why is North Africa more like the Middle East then the rest of Africa? Two reasons