2x^4=50 factor and simplify all irrational and complex solutions

Answers

Answer 1

Answer:

2x4 - 50

STEP

2

:

STEP

3

:

Pulling out like terms

3.1 Pull out like factors :

2x4 - 50 = 2 • (x4 - 25)

Trying to factor as a Difference of Squares:

3.2 Factoring: x4 - 25

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 25 is the square of 5

Check : x4 is the square of x2

Factorization is : (x2 + 5) • (x2 - 5)


Related Questions

fill the answer in the question mark
? / 10 = 24

Answers

The answer to this question is 240

answer : 240

you do 24 x 10 :)

Can someone explain on what do​

Answers

Answer:

the answer is: 3, 4

Step-by-step explanation:

those numbers meet in the circle where it supposed to go

Plz help me will give crown.

Answers

the answer is   -2/5 hope this helped

Use the quadratic formula to solve the equation. –x2 + 7x = 8

Answers

Answer:

The solutions are:

[tex]x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}[/tex]

Step-by-step explanation:

Given the quadratic equation

-x² + 7x = 8

Solving using the quadratic formula

[tex]-x^2+7x=8[/tex]

Subtract 8 from both sides

[tex]-x^2+7x-8=8-8[/tex]

Simplify

[tex]-x^2+7x-8=0[/tex]

For a quadratic function of the form ax² + bx + c = 0, the solutions are:

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

For a = -1, b = 7, c = -8

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-1\right)\left(-8\right)}}{2\left(-1\right)}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \:\sqrt{49-32}}{2\left(-1\right)}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{17}}{2\left(-1\right)}[/tex]

Separate the solutions

[tex]x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)},\:x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}v[/tex]

solving

[tex]x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)}[/tex]

   [tex]=\frac{-7+\sqrt{17}}{-2}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{-b}=\frac{a}{b}[/tex]

i.e. [tex]-7+\sqrt{17}=-\left(7-\sqrt{17}\right)[/tex]

so

     [tex]=\frac{7-\sqrt{17}}{2}[/tex]

Similarly solving

[tex]x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}[/tex]

    [tex]=\frac{-7-\sqrt{17}}{-2\cdot \:1}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{-b}=\frac{a}{b}[/tex]

i.e. [tex]-7-\sqrt{17}=-\left(7+ \sqrt{17}\right)[/tex]

    [tex]=\frac{7+\sqrt{17}}{2}[/tex]

Therefore, the solutions are:

[tex]x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}[/tex]

is this linear or exponential ​

Answers

exponential because the data is not increasing at a constant rate


Solve each equation.
A. (8.5) (-3) = a
B. (-7) + b = (-11)
C. c-(-3) = 15
D. d.(-4) = 32

Answers

B got it right on the tes

Write an equation for the relationship shown in the table. E 0 2 3 -0.3 3.7 5.7​

Answers

no sé nada más que me digas

megan is trying to find the length of the segment using the Pythagorean Theorem


Part A : megan made one mistake in her work , which caused her to get the wrong answer what did she do wrong?

Part B : Calculate the correct length of the segment

Answers

Answer:

10

Step-by-step explanation:

To obtain the length of the segment :

a² + b² = c²

a = 8 ; b = 6

8² + 6² = c²

64 + 36 = c²

100 = c²

Square root of both sides :

Sqrt(100) = sqrt(c²)

10 = c

Mistake in the solution is that 6² = 36 and not 12

hiii please help i’ll give brainliest if you give a correct answer tysm!

Answers

Answer:

The budget for dances is $380

Step-by-step explanation:

If we know that the ratio between student government budget for dance and charity event is 5:7 this means that there is some amount of money that fits 5 times into the student government budget for dance and 7 times into the budget for the charity events. So in order to find what is the value of that among we divide $532.00 by 7, and then multiply that amount by 5 to get the budget for the dance events. So we do........

$532.00 / 7 x 5 = $76 x 5 = $380

Umer is 5 years older than Abdullah. If the product of their ages is 234. How old is
Abdullah?

Answers

Answer:

112

Step-by-step explanation:

234:2=117

117+5=122

--->234-122=112

Answer:

Abdullah is 46.8 years old.

Step-by-step explanation:

Umer is 5 years old and the product of their ages is 234 so that means Abdullah is 46.8 years old.

5*46.8 = 234

7. JKLM is an isosceles trapezoid.
Find the median, ZM, and J.



Answers

Answer:

Median is 31, if you are talking about the parallel line in between JK and and ML

Monte is buying hot dogs and buns for the school carnival. hot dogs come in packages of 18 and buns come in packages of 20. he wants to have the dame number of each. How many packages of hot dogs should he buy?
A. 2
B. 5
C. 9
D. 10
E. 38

Answers

Hey there!

Monte will need 9 packages of hot dogs.

To do this, we can first find the LCM.

To do this, first you find the prime factors of 20: 2 x 2 x 5

Then, you find the prime factors of 18: 2 x 3 x 3

Multiply each number by the greatest number it occurs:

2 x 2 x 3 x 3 x 5

And you get the LCM, 180. This means that you can get 180 total hot dogs and 180 total buns.

Then, divide that by the number of hot dogs in a package, to get the number of packages needed: 180/20 = 9

9 packages of hot dogs are needed.

Is 4 km greater than 5000meters pls pls pls help

Answers

Answer:

No its not

4km =4000m < 5000m

Step-by-step explanation:

hope it helps

Answer:

5000 meter>4km

Step-by-step explanation:

4km is= 4000meter so 5000 meters i greater than 4km

120/100 simplified if it can be

Answers

Answer:

6/5

Step-by-step explanation:

120/100 =

12/10 =

6/5

Answer is 1.2 do you mean simplify as a fraction if so then the answer would be 6/5 as a fraction I divided both by 20

If Mark wants to pay off a loan in 5 years and the bank charges 10 percent interest, how much would Mark pay for the entire loan?​

Answers

Assuming the loan is 100 dollars
100 x .10 = 10
100 + 10 = 110

So he would pay 110 dollars

If the loan is 4560
4560 x .10 = 456
4560 + 456 = 5016

5 and 6 ................................................help

Answers

Answer:

5) 6cm 6)J

Step-by-step explanation:

5) 30/7.5=4

24/4=6

6) J=P

K=Q

L=R

M=S

THIS DOES NOT MAKE ANY SENSE

Answers

Answer:

The answer is 35

Step-by-step explanation:

It wants to know how many basketball and baseball players there are. If there are 20 basketball players and the ratio is 4:3 then you need to divide the number of basketball players by 4 then multiply by 3. Add 20 to that number and the answer is C

Answer:

35

Step-by-step explanation:

I came up with 35 because 20/4= 5, so we are multiplying players by 5. Similarly, 3x5=15 for baseball players. 20 basketball players plus 15 baseball players is 35. I hope this helps!

HELP ❗❗ BRAINLISTED TO WHOEVER IS RIGHT

Answers

Answer:

y= 1.5x

Explanation:

if 8n = 128, n equals

Answers

Answer:

16

Step-by-step explanation:

128/8 = 16

n= 16

The value of n is equal to 16.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE are given an expression as;

8n = 128

We need to find the value of n.

8n = 128

n= 128/8 = 16

n= 16

Hence, the value of n is equal to 16.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Is 1 a prime or composite number? Explain your answer with complete details

Answers

1 is neither prime nor composite because prime has exactly two factors and composite has more that two factors.

Hello there! ;)

1 is neither prime nor composite.

Prime numbers have 2 factors.

Composite numbers have 3 or more factors.

However, 1 has 1 factor.

Therefore, it's neither prime nor composite.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

What
is
the
answer ?

Answers

Ok, hopefully this is correct but bill is faster so Kevin is slower by ten because bill was going 110 at 2 hours which divided is 55 and Kevin was going 90 at 2 hours which is 45. Hope this helped! Have a great day :D

which unit would you use to measure the length of a soccer field
A. km
B. m
C. cm
D. mm

Answers

Answer:

b

why would you measure with something too big or too small?

I think it’s b pls mark me brainlist

10 A solid metallic cylinder of radius 14 cm and
height 21 cm is melted and recast into equal
small spheres each of radius 7/2 cm. Find then
number of spheres formed.​

Answers

Answer:

72 spheres are formed

Step-by-step explanation:

We start by calculating the volume of the metallic cylinder

Mathematically, we have this as;

V = pi * r^2 * h

V = pi * 21 * 14^2

V = 4116 π cm^3

The volume of each small sphere is;

V = 4/3 * pi * r^3

= 4/3 * π * 7/2^3 = 57.167 π cm^3

To get the number of small spheres, we simply divide the volumes

That will be 4116 pi / 57.167 pi = 72

Write an equation representing the direct variation.
х
-2
3
4.
7
y
5
-7.5
-10
-17.5
1) k =
2)

Answers

Answer:

y = -2.5x

Step-by-step explanation:

The constant of variation = y/ x = 5/-2 = -2.5

Also -7.5 / 3 = -2.5

-10 /4 = -2.5 and so on

To the nearest unit, what is the perimeter of this pentagon?
5
4
3
2
1
65
-3 -2 -1
2 3
4
بي ط ا
27 units
29 units
30 units
34 units

Answers

Answer:

The perimeter of the pentagon is;

29 units

Step-by-step explanation:

Let A, B, C, D, and E represent the vertices of the pentagon

The "x" and "y" coordinates of the vertices of the pentagon are given as follows;

A(-6, 2), B(-2, -2), C(5, -2), D(5, 2), E(-2, 5)

The length of the sides between each pair of coordinates can be found using the following formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

Length of segment AB = √((-2 - (2))² + (-2 - (-6))²) = 4·√2

Length of segment BC = √((-2 - (-2))² + (5 - (-2))²) = 7

Length of segment CD = √((5 - 5)² + (2 - (-2))²) = 4

Length of segment DE = √((5 - 2)² + (-2 - 5)²) = √58

Length of segment EA = √((5 - (2))² + (-2 - (-6))²) = 5

The length of the perimeter of the pentagon = 5+√58 + 4 + 7 + 4·√2 ≈ 29.2726273554 ≈ 29

The length of the perimeter of the pentagon ≈ 29.

11. Which of the following is an example of a
proportional equation?
A. Y = -1.4x
B. y = x + 1
C. y = 10.5x - 5
D. None of the above

Answers

Answer:

Step-by-step explanation: D. None of the above

Paul exercises for h hours a day for five days. Over the weekend, he exercises a total of 4.5 hours. What expression represents the number of hours Paul exercises in a full week? h /5 – 4.5 5 h + 4.5 7 h 5 + h + 4.5

Answers

Answer:

5 h+4.5

Step-by-step explanation:

I did on the test and got it right

Find the surface area of the triangular prism. Will mark brainliest!

Answers

Answer:

720 sq ft

Step-by-step explanation:

Formula:

2 B + P x H

Answer:

720 sq ft

Step-by-step explanation:

fourmula

2b+p×h

PLEASE HELP AND QUICK

Answers

I think it is 70 but not sure

Helpppp!!!!!!!! Asappppp!!!!!

Answers

A. It will be twice as much as because the height is increased by 2

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