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Answer 1

Answer:

The equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-

Step-by-step explanation:

According to the statement, we have a second order polynomial of the form [tex]A\cdot x^{2}+ B\cdot x + C = 0[/tex], whose solutions can be found by Quadratic Formula:

[tex]x_{1,2} = \frac{-B\pm \sqrt{B^{2}-4\cdot A\cdot C}}{2\cdot A}[/tex] (1)

Where [tex]A[/tex], [tex]B[/tex] and [tex]C[/tex] are the coefficients of the polynomial.

If roots are conjugated complex numbers, then:

[tex]B^{2}-4\cdot A\cdot C < 0[/tex] (2)

[tex]B^{2} < 4\cdot A \cdot C[/tex]

If we know that [tex]A = 1[/tex], [tex]C = 2[/tex] and [tex]x_{1,2} = -1\pm i[/tex], then we find that:

[tex]-1\pm i = -\frac{B}{2}\pm \frac{\sqrt{B^{2}-8}}{2}[/tex]

[tex]-2 \pm i\,2 = -B \pm \sqrt{B^{2}-8}[/tex]

By comparing each side, we have the following system of equations:

[tex]-B = -2[/tex] (3)

[tex]\sqrt{B^{2}-8} = 2[/tex] (4)

Whose solution is [tex]B = 2[/tex].

In a nutshell, the equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-


Related Questions

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

∠TSQ and ∠UVX

Step-by-step explanation:

The first answer is correct. Alternative exterior angles are angles located on the outside that are on opposite sides from each other

..................................... help pls

Answers

Answer:

A

Step-by-step explanation:

A is the height since it shows the dotted line from top to bottom and B and C are slanted.

Answer:

Option A

Is correspond line

Find y.

1)6.76
2)7.54
3)18.55
4)29.83

Answers

9514 1404 393

Answer:

  (c)  18.55

Step-by-step explanation:

The law of sines tells you ...

  y/sin(106°) = 15/sin(51°)

  y = 15×sin(106°)/sin(51°)

  y ≈ 18.55

_____

The same kind of proportion can find x:

  x = 15×sin(23°)/sin(51°)

  x ≈ 7.54

Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.

Which describe the solution set of the given system? Check all that apply.
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary curves.
The boundaries of the overlapping region are in the solution set.
The boundary curves intersect at approximately
(–3, 0).

Answers

Answer: 1,3,5

I got them right on my assignment

Option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have two inequality:

x² - 9y² < 9

y > 2×

After plotting on the graph:

From the graph:

The correct options are:

The solution set is unbounded

There is one point of intersection of the boundary curves.

The boundary curves intersect at approximately (-3, 0).

Thus, option (A) The solution set is unbounded, (C) There is one point of intersection of the boundary curves, (E) The boundary curves intersect at approximately (-3, 0) are correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ5

A triangle has two sides with lengths 7 m and 12 m. Which of the following lengths could represent the length of the third side? *
1 point
4 m
19 m
17 m
2 m

Answers

Answer:

i think its 17

please rate and leave a like :-)

find the absolute value of -5 1/6

brainliest to right answer​

Answers

Answer:

The absolute value is 5 1/6

Step-by-step explanation:

The absolute value is how far away an answer is to zero so we just take away the negative for this question.

Solve 7x- c = k for x

Answers

Answer:

D

Step-by-step explanation:

I know the answer is D because I set the equation to be equal to x.

First, I added c to both sides. The equation looked like: 7x=k+c

Then, I divided 7 on both sides, so x would be by itself. The equation looked like x=k+c/7

In conclusion, the answer is D. x=k+c/7

69 divided by 1/4 as a fraction

Answers

Answer:

17.25

Step-by-step explanation:

2.(03.01 LC)
which expression is equivalent to 21 + 49? (5 points)
O 7(3 + 49)
7(3 + 7)
7(14 + 42)
7(14 + 49)
30302 MC)

Answers

Answer:
7(3 + 7)
Why:
7x3=21
7x7=49

answer you get brainliest and POINTS NO FILES

Answers

Answer:

hiii <33

Step-by-step explanation:

Please help I will give brainliest!

Answers

Answer:

1.    74.6° = m∠C       65.4° = m∠A      a = 2.83

2.   Triangle does not exist

Step-by-step explanation:

1.   Use the law of sines to find m∠C

sin 40/2 = sin C/3

3sin 40/2 = sin C = .96418...

arcsin .96418... = 74.6° = m∠C

m∠A = 180 - 40 - 74.6 = 65.4°

a/sin 65.4 = 2/sin 40

a = 2 sin 65.4/sin 40 = 2.83

2.   sin 95/4 = sin C/5

5sin 95/4 = sin C =  1.2452...  which is impossible since the cosine of an angle is ≤ 1

Trent made a scale drawing of a community college. The scale of the drawing was
9 millimeters = 1 meter. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.

Answers

Answer:

9/1000

Step-by-step explanation:

Because 1 m = 1000 mm, the scale factor is 9/1000

show how you got your answer

Answers

5,200
make km to m. km to m is 1,000
so 5.2 x 1,000


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

The answer is x=-6 and the angles are 56
-8x+8=-6x+20
-2x=12
x=-6

Find the value of x in the triangle shown below.

a.164
b.2
c.6
d.80

Answers

Answer:

C. 6

Step-by-step explanation:

According to Pythagprean theorem 10^2 = x^2 +8^2

100 = x^2+ 64 subtract 64 from both sides

36 = x^2

6 = x

Below are two parallel lines with a third line intersecting them

Answers

Answer:

its 122

Step-by-step explanation:

just did it on khan academy

rule y = x - 3
plz help me :(​

Answers

The answer!

Lets do the Solve the equetion first!

Solution:[tex]y = x - 3 \\ = y - x = - 3 \\ = - x = - 3 - y \\ = - x = - y - 3 \\ = x = y + 3[/tex]The answer is [tex]x = y + 3[/tex]꧁✰_______❀Edilyn❀_______✰꧂

#CarryOnLearning

#NoToCopyPaste

Correct me if im wrong

Its base on my understanding

For brainly user:

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste

Just please, idols ,if we are going to answer questions here on brainly, don't do the ones from the internet, then just copy and paste You can search on the internet but make your own sentence okay? Thank you

Please dont delete this:((

Tara has 4 and 4 over 5 feet of rope.

Part A: How many 2 over 5 foot pieces can Tara cut from the 4 and 4 over 5 feet of rope? Show your work. (5 points)

Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given. (5 points)
I already got part a correct but I need help with part b, I don't understand it cause I'm d u m b pls help

Answers

9514 1404 393

Answer:

  A) 12 pieces

  B) the meaning of the quotient is that Tara got 12 pieces of length 2/5 ft from her 4 4/5 ft rope

Step-by-step explanation:

A) (4 4/5)/(2/5) = (24/5)/(2/5) = 24/2 = 12

  Tara can cut 12 pieces from the rope.

__

B) The quotient is the answer to the question. The meaning of it is that Tara can get 12 pieces from the rope, in answer to the question, "how many pieces can Tara cut?"

It doesn't matter whether the numbers are whole numbers, decimals, fractions, or even irrational numbers. The whole is the sum of the parts, so the number of parts is equal to the size of the whole divided by the size of a part.

_____

Comment on the question

This sort of question seems to appear a lot in modern "common core" math materials. They tell you "x means <such and such>", and then they ask you, "What is the meaning of x?" It seems to be a reading comprehension exercise. Of course, the meaning of x is <such and such>, just as the problem statement tells you.

Seven added to a number, b

Please help

Answers

Answer:

Step-by-step explanation:

7 + b

Hope that helps... I couldn't really figure out what you were asking :)

Help I don’t know what to do

Answers

Answer:

x=8

Angle DBC=32

Step-by-step explanation:

-DBC= ABC-ABD= 55-23=32

-4x=DBC=32

x=32/4=8

PLS HELP NEED THIS IN AN HOUR PLS NO LINKS

Write an equation to find the width of the rectangular prism. Show your work.

Answers

Answer:

the equation is W=V / ( L×H)

note write it as a fraction V in neomarater and L×W in denomenator

Step-by-step explanation:

V=L×W×H

6336=18×16×W

W×288=6336

W=6336 ÷288

W=22 cm

how much does a bike with an acceleration of 2ms^-2 take to increase it's velocity from 10ms^-1 to 30ms^-1? help!! with explainations and show the work, if possible. thank you!​

Answers

Step-by-step explanation:

use the formula:

[tex]v = u + at[/tex]

v = 30 [final velocity]

u = 10 [initial velocity]

a = 2 [acceleration]

solve for t [time]

2) What is the area of the figure?

Answers

Answer:

9+7+4+5= 25

Step-by-step explanation:

add up everything then get ur answer

What is the area of the shaded segment shown ? Please help me solve this

Answers

Answer:

area of sector - area of triangle

90/360×22/7×9×9 - 1/2×9×9

=63.64-40.5

=23.14

ans=23.14 squared inch

Which ordered pair represents a solution? *

A (0,2)
B (1,3)
C (3,1)
D (26)

Answers

I think it’s A hope that helped
A is the correct answer

Find the lowest common multiple of 30
and 40


Please

Answers

Answer:

120.

Step-by-step explanation:

The Least common multiple of 30 and 40 is 120.

Answer:

The lowest common multiple of 30 and 40 is 120

Find the missing angle in the triangle,

36°
111°

Answers

Answer:

33°

Step-by-step explanation:

you add the two numbers together and subtract from 180° to get your answer

01:09:23
What is the radius of this circle if the circumference is 18 cm?
0
3 cm
9 cm
18 cm
36 cm

Answers

Answer:

The formula for circumference of a circle is

2pi,R.

In which R= radius. Then we Insert 18 in for the circumstances.

so, 18=2πr

then solving for r

18=2

÷. ÷

2. 2

R = 9,,

help for brianly plzzzzzzzz

Answers

find the area of the base times the height

Answer:

find the are of the base times the height

Step-by-step explanation:

Which equation represents 3/8 less than 7/8 of a number?

A. 3/8 -7/8n

B. 3/8n - 7/8

C. 7/8n-3/8

D. (7/8-3/8)n

Answers

The answer is D
Am sure its D
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