x^4-3x^2+2=0
Đặt ẩn t

Answers

Answer 1

Answer:

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]

Step-by-step explanation:

x⁴ - 3x² + 2 = 0

x^2×2 - 3x² + 2 = 0

(x²)² - 3x² + 2 = 0

t² - 3t + 2 = 0

t = 1, t = 2

x² = 1, x² = 2

x = -1, x = 1

x = - square root 2, x = square root 2

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]


Related Questions

help me slove this problem

Answers

The answer is D. (-160)÷8

The answer can t be a decimal therefore a and c are out. The answer has to be negative bc it was a lost. Therefore since -160 was a loss it has to be negative

Answer:

D

Step-by-step explanation:

Loss = -160

Shared between 8 owners.

So, (-160) ÷ 8

Please help me! Please please please help me!

Answers

Graph C is the correct option.

If you drew a straight line (mostly) connecting the points, it would be linear. A relationship is linear if one variable, in this case, x, increases by approximately the same rate as the other variables, in this case y.

If you drew lines connecting points on the other graphs, they wouldn’t resemble a straight line, therefore, they aren’t linear.

f(x)=2x^2-3x+7 evaluate f(-2)

Answers

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

Solve for P A= 2xP+4P

Answers

Answer: P = A/6

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

How to determine values of a,b and c

Answers

(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means

[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]

The denominator remains unchanged, so

ax + b = -ax + b

Solve for a :

ax = -ax

2ax = 0

a = 0

(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)

So

[tex]f(x) = \dfrac{b}{x^2-c}[/tex]

(ii) Since

[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]

it follows that x - 2 must be a factor of the denominator. If that's true, then

x ² - c = (x - 2) (x - r )

for some other root r of x ² - c. Expanding the right side gives

x ² - c = x ² - (2 + r )x + 2r

so that

-(2 + r ) = 0   ===>   r = -2

2r = -c   ===>   -c = -4   ===>   c = 4

and so

[tex]f(x) = \dfrac{b}{x^2-4}[/tex]

(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives

[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]

so that

[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]

Then

-2b/9 = -2   ===>   b = 9

and we find that

[tex]f(x) = \dfrac{9}{x^2-4}[/tex]

ANSWER FOR BRAINLIEST
Given A(-6, -2) & B(-5,1)
Find AB
Find the midpoint of AB

Answers

Answer:

Question 5 options: (4, 4) (1, 1) (3, 1) (10, 4)

Step-by-step explanation:

Answer:

hope it helps.....................

A tank is in the shape of a cylinder 7 feet tall and 10 feet and radius find the exact surface area of the tank

Answers

Answer:

[tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

Step-by-step explanation:

1. Find the area of the base and the top, which are circles.

Area of circle : [tex]\pi 10^{2}[/tex] = 986.960440109

There are 2 circles, soooooo....= 986.960440109 x 2 = 1973.92088022

2. Find the rest of the area of the cylander.

So, we have to find the circumference of the circle.

Circumference :2[tex]\pi[/tex]10 = 62.83

3. Multiply circumference by height.

62.83 x 7 = 439.81

4. Add all of the products.

439.81 + 1973.92088022 = [tex]2036.75088022^{2}[/tex] or [tex]2036.8^{2}[/tex] rounded to the nearest tenth

50 Points!! I'M CONFUSED SO PLEASE HELP

Answers

Answer:

x=5

Step-by-step explanation:

Only pay attention to one transversal at a time

two angles are congruent so

9x+12=13x-8

9x-13x=-8-12

-4x=-20

4x=20

x=5

Reuben types at a rate of 14 words per minute.
How many words does he type in 2 minutes?

Answers

Answer:

28 words.

Step-by-step explanation:

You already know that he types at a rate of 14 words per minute.

To find how many words he types in 2 minutes, just multiply 14 by 2.

You get 28, which tells you how many words Reuben can type in 2 minutes.

Answer :

The answer is 28.

One hundred must be raised to what be equal to a million cubed

Answers

Answer:

100^9

Step-by-step explanation:

100 to the 9th power because 100^3 equals 1 million. think of it as (100^3)^3

given that f= x^3/4 +6. find f(4)

Answers

Answer:

here

f= x^3/4 +6

to find f(4)

Step-by-step explanation:

f(4)= 4^3/4+6

=64/10

= 6.4

Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweat?

Answers

Answer:

$35

Step-by-step explanation:

first we need to find the amount of money the sweaters cost alone.

so we first subtract the total (160) - the skirt price (20) which is 140

now we divide it by 4 to find the price of each seater, as they all cost the same.

so 140 divided by 4 = 35

answer: $35

Anybody good in math ?

Answers

Answer:

[tex]y=-0.3(x-2)^2+2[/tex]

Step-by-step explanation:

We know that the parabola faces downard, and hence must have a negative first term, so that eliminates the first and third options.

The vertex of the parabola has an x-value of 2, so it must be of the form [tex]a(x-3)^2+c[/tex].

Combining these, we have that the answer is [tex]\boxed{y=-0.3(x-2)^2+2}[/tex]

A car is 150 inches long. A truck is 60% longer than the car.
How long is the truck?

Answers

Answer: Therefore, the truck is 240 inches long.

Step-by-step explanation:

truck = 150 + 60% of 150

        = 150 + 60/100 * 150

        = 150+90

        = 240 inches

Noah has a box of coins in his room. The box currently
contains 40 coins, consisting of pennies, dimes, and
quarters. The number of pennies is equal to the
number of dimes, and the total value of the coins is
$8.05. How many of each type of coin does Noah have
in the box?

Answers

The currency called the dollar can be divided or reduced into smaller forms also known as pennies, quarters, nickels and dimes.

The number of pennies is 5, the number of dimes is 5, the number of quarters is 30.

It is important to note that

a penny = $0.01

a dime = $0.10

a quarter = $0.25

Let's represent the number of

pennies = p

dimes = d

quarters = q

The number of pennies is equal to the  number of dimes, hence:

p = q, so we can represent the number of pennies and dimes as y

The box currently  contains 40 coins

So: 40 = y + y + q

q = 40 - 2y...........Equation 1

The total value of the coins is $8.05

So: 0.01y + 0.1y + 0.25q = 8.05 ........... Equation 2

We substitute 40 - 2y for q in Equation 2

0.01y + 0.1y + 0.25(40 - 2y) = 8.05

0.01y + 0.1y + 10 - 0.5y = 8.05

Collect like terms

0.01y + 0.1y - 0.5y = 8.05 - 10

-0.39y = -1.95

Divide both sides by -0.39

-0.39y/-0.39 = -1.95/0.39

y = 5

Since y represents the number of pennies and dimes,  the number of pennies is 5 and the number of quarters is 5.

To solve for the number quarters, we would use equation 1

q = 40 - 2y...........Equation 1

q = 40 - 2 x 5

q = 40 - 10

q = 30

The number of quarters is 30.

Therefore, we have 5 pennies, 5 dimes, and 30 quarters.

To learn more, visit the link below:

https://brainly.com/question/17573861

N = d + h + z

7

for h

A. h = 7(N - d-z)

c. h = 7N â€" 4 â€"z

B. h = 7N + 7d + dz D. h = 7N + d + z

Answers

Answer:

I prefer A is the option that suits this question

O A. All real numbers
O B. y> 0
O c. y> 4
O D. y>4

Answers

Answer:

A

Step-by-step explanation:

cause an exponent and be any number

PLEASE PLEASE HELP ME
A pole that is 3m tall casts a shadow that is 1.56m long. At the same time, a nearby building casts a shadow that is 47.45 long. How tall is the building? Round your answer to the nearest meter.

Answers

Answer:

49.0?

Step-by-step explanation:

its probably wrong lol

I would say 50 meters

Somebody help me please

Answers

Answer:

A goes with the sum of a number and 3

B goes with the product of 4 and a number

C goes with 2 less than a number

D goes with the quotient of 5 divided by a number

Step-by-step explanation:

!!! WILL GIVE BRAINIEST
Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probability that Barry drew two red tiles?

I know the answer is 1/80 but how do you get there?

Answers

there are 60 squares in total.
there are 9 red squares in total.
etc

if you divide the number of events by the number of possibilities, you get probability!

Answer:

its B

Step-by-step explanation:

trust me i just got it

What’s the rise over run pleas???

Answers

9514 1404 393

Answer:

  -1/5

Step-by-step explanation:

To find the ratio of rise to run on a graph, it is convenient to start by looking for points where the graph crosses the intersection of grid lines. This lets you read the exact coordinates of the points, without any guessing.

In the attachment, the grid crossings we chose are circled.

The "rise" is the vertical distance between the points. If the right point is lower, the "rise" is negative.

The "run" is the horizontal distance between the points.

The reason for choosing grid crossings is that it then becomes fairly easy to count the grid lines between the points, vertically and horizontally.

On this graph, the "rise" is -1 for a "run" of 5. Then the slope, or ratio of rise to run, is ...

  m = rise/run = -1/5 . . . . . . slope of the line

(4n + 1) (2n + 6)

help please

Answers

Answer:

8n^2 + 26n + 6

Step-by-step explanation:

(4n + 1) (2n + 6)

8n^2 + 2n + 24n + 6

8n^2 + 26n + 6

Hopefully this helped!

Brainliest please?

What are the next few terms after the following sequence? 1, 1/2, 1/3, 1/4

Answers

Answer:

1/5, 1/6, 1/7, 1/8,1/9, 1/10,1/11,1/12

PLEASE HELP


The table shows information about the population of a city.
Population in 2001 is 420 000
Population in 2011 is 480 000

Liam claims
"From 2011 to 2021 the population of the city will increase by
the same percentage as from 2001 to 2011"
He works out.
population increase from 2001 to 2011 = 480 000 - 420 000
= 60 000
population in 2021 = 480 000 + 60 000
= 540 000
Does the population of 540 000 match his claim?
You must show your working.

Answers

Answer:

y

Step-by-step explanation:

Which of the following ordered pairs is a solution to the equation? (-4,-1) (-2,0) (0,3) (9,1)

Answers

The answer is (0,3) the line hits at positive 3

help
Sam’s mom bought some apples:

4 bags of 10 apples,

5 bags of 20 apples,

12 bags of 30 apples,

How many apples did Sam’s mom buy?

Answers

Answer:

500

Step-by-step explanation:

4 times 10 equal 40

5 times 20 equals 100

12 times 30 equals 360

360

+ 100

40

________

500

Question is in the picture. Help ASAP

Answers

Answer:

we cant see the picture

Step-by-step explanation:

How do you solve this problem 4÷8/9-1/2=

Answers

Answer:

Step-by-step explanation:

4/(8/9)-(1/2)=4

You Use the distributive property to find the product 3/4 x 2 1/3​

Answers

Answer:

1 1/4

Step-by-step explanation:

3/4 times 2 1/3 you make that an omproper fractions

please someone help. Giving brainliest!!!!!! :)

Answers

Answer:

PLEASE BRAINLIEST

Step-by-step explanation:

400-2a =332

400-332 =2a

2a=68

a=34

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