Solve the equation:
[tex]x^4 - x^2 - 2 =0[/tex]

Answers

Answer 1

Answer:

±2

Step-by-step explanation:

This is a biquadratic equation, we must turn it into a quadratic one first before we solve it. So, let's say that x⁴ = y², therefore

[tex]y = \sqrt{x} [/tex]

and we turn it into the following quadratic equation:

y² - y - 2 = 0

then we solve it the way we solve a normal quadratic equations and find the roots:

D = 1 + 8 = 9

y1,2 = 1 ± 3 = 4, -2

[tex] \sqrt{x} = y[/tex]

We cannot find the square root of -2, so the solutions are only -2 and 2(because square root of 4 is equal to ±2)


Related Questions


[tex] \frac{9x - 9}{ \\ 3x - 3} = [/tex]
please help me here ​

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

[tex]\dfrac{9x-9}{3x - 3}=\dfrac{9*(x -1)}{3 * (x - 1)} = 3[/tex]

Please Help!!!!! In a bag of 200 jelly beans and 25% of the bag is green. If you randomly pick a jelly bean, what is the probability that the jelly bean picked is not green?

Answers

The answer is 3/4.

25% of the 200 jelly beans are green, by converting 25% into a decimal and multiplying it by the total amount of jelly beans, you can find the amount of jelly beans that are green.

25% = 0.25

200 x 0.25 = 50

Therefore 50 of the jelly beans are green.

The question wants to know the probability of the jelly bean being picked is not green.

200 - 50 = 150 jelly beans not green

Finding the probability:

150/200 = 3/4

please help

Solve the proportion
5/2=d-2/4​

Answers

20 = 2d -4

24 =. 2d

d = 12

a dice is thrown once, what ia the probality of getting an odd number

What is Depreciation and Amortization?

Answers

“Amortization and depreciation are two methods of calculating the value for business assets over time. ... Amortization is the practice of spreading an intangible asset's cost over that asset's useful life. Depreciation is the expensing of a fixed asset over its useful life.”

Answer: Amortization and depreciation are two methods of calculating the value for business assets over time. ... Amortization is the practice of spreading an intangible asset's cost over that asset's useful life. Depreciation is the expensing of a fixed asset over its useful life.

Step-by-step explanation: hopes this helps...

A basketball player who has scored a total of 833 points in 68 games expressed in points/game

Answers

Answer:

12.25 points per game

Step-by-step explanation:

To find the points/game ratio, you do 833/68 which is 12.25.

Hope this helps :)

Ryan sells T shirts for $12.92 each. He has a special deal: buy 2 and get the third at 25% off. How
much in total, without tax, will three shirts cost?

Answers

Answer:

$35.53

Step-by-step explanation:

25% of 12.92 is 3.23

so 12.92-3.23=9.69

now plus the 2 shirts 9.69+12.92+12.92=35.53

y = 4x - 3
(Solving for slope)

Answers

Answer:

Slope = 4

Step-by-step explanation:

This is an equation of a line in the format y = mx + b

Lets match the two equations vertically to see which term is which

y = mx + b

y = 4x - 3

m is the slope, and it matches with the term "4"

That means that 4 is the slope

Parts of y = mx + b

y : outputm : slopex : inputb : y - intercept

-Chetan K

Andrew's class took a field trip to the art museum. It took them 18 minutes to drive to the museum. They stayed at the museum for 1 hour and 59 minutes. When the class left the museum, it was 10:03 A.M. What time did Andrew's class leave for the field trip?

Answers

Answer:

7:56 A.M.

Step-by-step explanation:

1 hour and 59 mins = 119 mins

119+18 = 137

137/60 = 2 r 17

(10 - 2 = 8) - 17/60

Therefore they left at 7:56 A.M.

Melissa's yoga class last 46 minutes if the class ended at 6:32 PM what time did the yoga class start

Answers

Answer:

5:46pm

Step-by-step explanation:

6:32 - :46 =

6:00 = :46 - :32 = :14

6:00 = 5:60

5:60 - :14 = :60 - :14 = :46

5:46

Find the area of trapezoid JKLM. Round the answer to the nearest tenth.
A 41.2 in.
B. 103.3 in.
C. 144.5 in.?
D. 181.9 in.

Answers

from the diagram, we can see that the height or line perpendicular to the parallel sides is 8.5.

likewise we can see that the parallel sides or "bases" are 24.3 and 9.7, so

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ h=8.5\\ a=24.3\\ b=9.7 \end{cases}\implies \begin{array}{llll} A=\cfrac{8.5(24.3+9.7)}{2}\\\\ A=\cfrac{8.5(34)}{2}\implies A=144.5~in^2 \end{array}[/tex]

The area of the given trapezoid JKLM is 144.5 in². Hence, option C is the right choice.

What is the area of a surface?

The area is the two-dimensional space within the closed boundary of its surface.

How is the area of a trapezoid determined?

The area of a trapezoid is found using the formula:

Area = (1/2)(sum of parallel sides)(the distance between the parallel sides).

How to solve the question?

In the question, we are asked to find the area of trapezoid JKLM.

We will determine the area of the trapezoid using the formula:

Area = (1/2)(sum of parallel sides)(the distance between the parallel sides).

In trapezoid JKLM, JK and ML are two parallel sides and the distance between them is given by the perpendicular from M to JK, which we take as MN.

Therefore, the area of the trapezoid JKLM = (1/2)(JK + ML)(MN),

or, the area of the trapezoid JKLM = (1/2)(24.3 + 9.7)(8.5) in²,

or, the area of the trapezoid JKLM = 0.5*34*8.5 in² = 144.5 in².

Hence, option C. 144.5 in² is the right choice.

Learn more about the area of a trapezoid at

https://brainly.com/question/12173427


#SPJ2

BIG IDEAS MATH
#10 i
Determine whether it is possible to construct one, many or no obtuse
triangle(s) with an angle measure of 90°
O one triangle
o many triangles
O
no triangles
Previous
( 5 6 7 8 9
9
10

Answers

No triangles is the answer

HELP! I WILL GIVE BRAINLIEST!

Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 4) and (0, −4)?

a.) x squared over 8 minus y squared over 16 equals 1
b.) y squared over 16 minus x squared over 8 equals 1
c.) x squared over 8 minus y squared over 8 equals 1
d.) y squared over 8 minus x squared over 8 equals 1

Answers

Answer:

I think it's A

Step-by-step explanation:

wish you well!!

Answer:

The answer is D the last optiony^2/8 -x^2/8=1

Step-by-step explanation:

Center:

(0,0)

Vertices:

(0,2√2),(0,−2√2)

Foci:

(0,4),(0,−4)

Eccentricity:

√2

Focal Parameter:

1

Asymptotes:

y=x, y=−x

Please mark brainliest :)

HELP ME MARKING BRAINLEIST AND 20 POINTS

Answers

Chapter: States of Matter

Ans: Increases ( option a ).

Why ?

Explanation: As when the matter goes from solid to liquid, the process is done by gaining heat energy which results a transformation phase known as melting. Due to this, the particles in solid gain enough kinetic energy which starts random collision with each other, hence causes the expansion of intermolecular spaces.

THE ANSWER IS OPTION A YOUR WELCome

What's the formula for the Pythagorean theorem​

Answers

Answer:

a² + b² = c²

Step-by-step explanation:

'a' and 'b' are the legs and 'c' is the hypotenuse of the triangle

c = [tex]\sqrt{a^{2} + b^{2} }[/tex]

Hope this helps!!^^ plz mark brainliest?

Find angle cad. Show your work.

Hurry plsssss!!!!!​

Answers

Answer:

°

3/2x + 20°+2× =90°

3×\2 + 2× + 20 =90°

5×\2 +20_20 =90°_20

2x5×/2. = 70x2

5×\5=140/5

X =28°

CAN SOMEONE HELP ME PLEASE

Answers

40+90=130
180-130=50
y=90+50=140

x=180-(40+90)=180-130=50

Answer:

x = 50°

y = 140°

Step-by-step explanation:

x + 40° = 90

x = 90 - 40

x = 50°

y + 40 = 180

y = 180 - 40

y = 140

Hope it helps!

Help! Please! As soon as possible. Use finite differences to identify the degree of the polynomial that best describes the data:

Answers

Analyze picture

most likely,

quintic

Answer:

quartic

Step-by-step explanation:

The x-values increase by a constant 1. Find the differences of the y-values.

x 9 10 11 12 13 14  

y −5 −8 −7 −4 1 10  

−3 1 3 5 9    First differences

The first differences are not constant. Find the second differences.

x 9 10 11 12 13 14  

y −5 −8 −7 −4 1 10  

−3 1 3 5 9    First differences

4 2 2 4       Second differences

The second differences are not constant. Find the third differences.

x 9 10 11 12 13 14  

y −5 −8 −7 −4 1 10  

−3 1 3 5 9    First differences

4 2 2 4       Second differences

−2 0 2      Third differences

The third differences are not constant. Find the fourth differences.

x 9 10 11 12 13 14  

y −5 −8 −7 −4 1 10  

−3 1 3 5 9    First differences

4 2 2 4       Second differences

−2 0 2      Third differences

2 2        Fourth differences

The fourth differences are constant. Therefore, the data is quartic.

Please help me I will give a brainless

Answers

Answer:

x E = R

the statement is true for any value of x, because both sides are identical.

Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose one from the box. What is the probability Nerissa will choose a purple bow?

Answers

There is a 40% chance that Nerissa will choose a purple bow.

In total, there are 10 bows
4 out of 10 of these are purple
4/10 or 0.40 or 40%

(brainiest) I just need help with the last question, please!
In training for a swim meet, Logan swam 750 meters in of an hour. His swimming partner, Mila, swam of Logan's distance in of an hour.
Fill in the blanks to compare Mila's and Logan’s swimming speeds.

1. What is Logan's average swimming speed?
answer:
2.25 kilometers per hour

2. What is Mila's average swimming speed?
answer:
34.44 m/min

HELP ME WITH THIS QUESTION:
3. Compare Mila's and Logan’s swimming speeds.

Answers

Answer:

so Mila swam 0.0344 kilometers per min=2.064 kilos per hour

Step-by-step explanation:

pls help I've been trying all night I don't get it ​

Answers

Answer:

[tex]x^2 + 12x +36 = (x+6)^2[/tex]

Step-by-step explanation:

[tex]x^{2} + 12x +36\\\\\\Step 1: Find\ factors \ of\ 36\ that \ add \ to \ +12.\\(1, 36)\ , \ ( 2, 18), \ (3, 12), \ (4, 9), \ (6, 6)\\\\Step2. \ From \ the \ pairs \ above \ (6 , 6) \ adds \ to \ +12.\\\\So \ the \ equation \ can\ be \ written \ as \\x^{2} + 6x +6x +36 = (x^{2} + 6x) + (6x + 36)[/tex]

                          [tex]= x(x + 6) + 6(x+6)\\\\=(x+6)(x+6)\\\\=(x+6)^2[/tex]

Answer:

Step-by-step explanation:

a²+ 2ab + b² = (a +b)²

x² + 12x + 36  = x² + 2 * x * 6 + 6²        {Here a = x and b = 6}

                         = (x + 6)²

help me find the area of this recatangel please

Answers

the area of the rectangle is 84 inches :)

need help BIG TIME SOOOO CONFUSED WILL HIVE BRAINLIEST
Which inequality represents all values of x for which the quotient below is
defined?

O A. x>1
O B. x>0
O C. X20
O D. x>-1

Answers

Answer:

x [tex]\geq[/tex] 0

Step-by-step explanation:

You need each of the square roots to be positive numbers, and the only for that to happen is if the variable is 0 or a positive number.

Is this correct and if not how do I solve quickkkkkk!!!!!

Answers

Answer:

29 m

Step-by-step explanation:

The dashes mean that the lines are equal in length, so from this we can determine that the area marked 441 m² is a square.  

Area of a square = x², where x is the length of 1 side.  

Therefore, x = √441 = 21 m

Now we have a right-angled triangle with two legs of 20 m and 21 m.  We need to find the hypotenuse (labelled ?).  To do this, use Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse.

Therefore,

    20² + 21² = c²

⇒ 400 + 441 = c²

⇒            841 = c²

⇒               c = √841

⇒               c = 29

So the side marked ? on the diagram is 29

Answer:

answer is 29

Step-by-step explanation:

since the area of the square is 441 we know each side measure is [tex]\sqrt{441}[/tex] which is 21

since this is a right triangle and we know the value of two sides we can use the Pythagorean Theorem to find the third side, in this case the 'hypotenuse'

theorem states that the sum of the legs, squared, equals the hypotenuse squared

20² + 21² = x²

400 + 441 = x²

x² = 841

x = [tex]\sqrt{841}[/tex] which is 29

Estimate by rounding the largest number to hundreds and then multiplying.321 x 5 is approximately

Answers

Answer:

1600

Step-by-step explanation:

1600 is the answer because

321×5 = 1605 so estimation = 1605

Thuy wrote the system of equations. 24 x 36 y = 72. Negative 16 x 8 y = 80. If the second equation is multiplied by 3, what should the first equation be multiplied by to eliminate the x variable by addition?.

Answers

Answer:

Multiply the first equation by 2

Step-by-step explanation

24x + 36y = 72

-16x + 8y = 80

48x + 72y = 144

-48x + 24y = 240

96y = 384

y = 4

24x + 36(4) = 72

24x + 144 = 72

24x = -72

x = -3

(-3, 4)

Answer:

Step-by-step explanation:

3

help no wrong answers ALOT OF POINTS

Answers

This is NOT a function.

For a relation to be a function, each x-value needs to have only 1 y-value. This is not the case for the data points given here. The x-value 160 has 7 different y-values. If these points were graphed, it would form a straight line and a straight line is not a function (it does not pass the vertical line test!).

Hope this helps!

-12 = -11+n/-12 brainliest!!!!!!

Answers

Answer:

goes right to left

Step-by-step explanation:

Answer:

n=12

Step-by-step explanation:

-12=-11+n/-12, add 11 to both side

-1=n/-12, multiply -12 to bothe sides

n=12

169%of 705.8 how would u work that out

Answers

Answer:

1,192

Step-by-step explanation:

169% of 705.8...

... is equivalent to multiplying them:

169% × 705.8 ≈ 1,192.8

(Rounded to a maximum of 2 decimals)

Write an equation of the line that passes through the points (-4, -2) and (0,6)​

Answers

Answer:

y= 2x +6

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

Slope

[tex] = \frac{6 - ( - 2)}{0 - ( - 4)} [/tex]

[tex] = \frac{6 + 2}{0 + 4} [/tex]

[tex] = \frac{8}{4} [/tex]

= 2

y= 2x +c

y-intercept occurs at x= 0. Since we are given that the line passes through the coordinates (0, 6), the y-intercept is 6.

Thus, the equation of the line is y= 2x +6.

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