What is the nature of the roots of the quadratic equation 2x² 5 √ 3x 6 0?

Answers

Answer 1

The roots of the quadratic equation 2x² + 5√3x - 6 = 0 are imaginary.

To solve this equation, we can use the Quadratic Formula. The Quadratic Formula is:

x = [ -b ± Â√(b2 - 4ac) ] / 2a

In this equation, a = 2, b = 5√3, and c = -6.

Plugging these values into the formula, we get:

x = [ -(5√3) ± Â√((5√3)2 - 4(2)(-6)) ] / (2(2))

Simplifying, we get:

x = [ -(5√3) ± Â√(25*3 + 24) ] / 4

Simplifying further, we get:

x = [ -(5√3) ± Â√(75) ] / 4

Since √75 is an irrational number, the roots of the equation are imaginary.

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Related Questions

what is the slope?

Khan Academy ​

Answers

Answer:

2

Step-by-step explanation:

Point on the graph: (0, -3) and (3, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+3)/(3-0)

m=6/3

m = 2

please help i’ll give brainless

Answers

the answer is D. 40% of the fruit in the bowl are apples:)

Answer:

D.  40%

Step-by-step explanation:

The are 6 apples out of 15 fruit. To find the percentage, first write it as a fraction.

6/156/15 can be simplified to 2/52/5=0.4=40%

Cann someone pls pls help me with this one ignore the bottom question it was in the way.

Answers

Answer:

r=-24

Step-by-step explanation:

Step1:  Add 4 to both sides

-2r - 4 + 4 > 44 + 4

-2r > 48

Step 2: Divide both sides by -2

-2r/ -2 > 48/ -2

r < -24

HELP
Karen bought a pizza for $11.95. She got back $3.05 in change. Write a
subtraction equation to find out how much money Karen had before she
the pizza.

Answers

$11.95 + $3.05= 15.00

Find the total surface area of the prism below​

Answers

Do not click that link

Robin, Ashley, Joy, and Christina collected 156 acorns to make fall decorations. Robin collected three times as many acorns as Ashley.Christina
has 12 more acorns than Robin. Ashley and Joy collected the same number of acorns.
How many acorns did Ashley collect?

PLEASE HELP

Answers

Answer:12

Step-by-step explanation:

PLEASE PLEASE HELP ME!!!!
Elena borrowed some money from her brother. She pays him back by giving him the same amount every week. The graph shows how much she owes after each week.
1. What is the slope of the line?
2. Is the slope positive or negative?
3. How much money did Elena borrow? (Hint: Vertical Intercept)

Answers

Answer:

1. -3/1

2.negative

3.$18

Step-by-step explanation:

since the graph is going down, it is negative, and look at the ending points on the x and y-axis. 18/6 is 3. so the slop is -3 :)

Answer:

1. -3

2. negative

3. $18

Step-by-step explanation:

1. slope is rise/run so...

-3/1=-3

2. because run was a change of 3 DOWN the y axis we and run is a change of 1 to the right on x axis we have a negative slope. -3

3. she borrowed $18. Vertical intercept means the point where our line crosses the vertical axis. (Vertical axis is Y axis.)

PLEASE ANSWER FAAST!! A car wheel has a diameter of 20.8 inches. About how far does the car travel in 5 rotations?

Answers

Answer:

65.312 inches

326.56 inches

1959.36 inches

Step-by-step explanation:

Given

d = 20.8 inches

To find

Travel in 1, 5, 30 rotations

Solution

Circumference of the wheel is equal to one full rotation

C = πd = 3.14*20.8 = 65.312 inches

5C = 5*65.312 = 326.56 inches

30C = 30*65.312 = 1959.36 inches

Step-by-step explanation:

Answer:

326.56 inches

Step-by-step explanation:

hope this helps

Charlie split 78pounds of andy among 4 people. What is the unit rate in pounds per person?

Answers

the answer of this is 19.5 pounds

what is the area of the polygon with explanation

Answers

Answer:

610 m

Step-by-step explanation:

Split into two rectangles

5(50)=250 m

18(25-5)=360 m

250 m + 360 m +610 m

please help me !!!!! :(

Answers

Decimal 3rd row: 0.75

Fraction 3rd row: 75%

Decimal last row: 0.15

Fraction last row: 15%

Answer:

75%, 0.75

Step-by-step explanation:

The answer is 75% because if you do the math it takes 6 15's to reach the requirement of the Fraction that is on the right. So that would make the decimal form be 0.75. If you find any fault in my answer let me know. Thanks. Have a good day!

HELPP PLEASE
Part A.
what is it the percent of change from 6,000 to 9,000?
A. 36% increases
B. 36% decrease
C. 50% increases
D. 50% decrease. Part B
complete the equation given below. _% of 60 =6

Answers

Answer:

C

and 10%

Step-by-step explanation:

last one plz help me

Answers

Answer:

17.2 cm

Step-by-step explanation:

Which triangle is NLM congruent to? Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

XYZ

Step-by-step explanation:

due to the angles being equivalent to eachother(NL angles being equal to XZ). The M and Y are equal to eachother.

Find the fourth root of 81 that
graphs on the positive y-axis.

Answers

Answer:

1.732

Step-by-step explanation:

cube root of 81 is

=1.732

Answer: 3(cos(90degrees)+isin(90degrees))

Find 190% of 20 (pls help)

Answers

190% of 20 is 38.

To put it simply, multiply 190 by 20 (which is 3800) and get rid of the zeros. Hope this helped! :]

Choose the angle which is vertical to ∠ in the following figure.

Answers

Answer:

angle DFE

Step-by-step explanation:

What is the area of the composite shape?

Answers

Answer:

Step-by-step explanation:

Area of rectangle = 5*4

=> 20

Area of hemisphere = [tex]\pi[/tex]r^2 / 2

=> 3.14 * 4 /2

=> 6.28

Total area => 26.28

Please mark my answer as the brainliest for further answers :)

Solve e/g + f = h for e

Answers

Answer:

e=g(h-f) or e=gh - gf

Step-by-step explanation:

Answer:

e = hg - fg

Step-by-step explanation:

Given

[tex]\frac{e}{g}[/tex] + f = h ( multiply through by g to clear the fraction )

e + fg = hg ( subtract fg from both sides )

e = hg - fg

This pentagonal right pyramid has a base area of 30m^2

What is the volume of the figure?

This Is due soon plz help

Answers

Answer:

50m cubic

Step-by-step explanation:

Help super confused high points for the award!

Answers

10in (length x width)

find the slope-intercept equation of the line that passes through (3,1) and has a slope of 2

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

Hi,

y = 2x + b

1 = 2 (3) + b

1 = 6 + b

-5 = b

y = 2x - 5

I hope this helps :)

what is 2+2=
22.
4.
Baby 2.

Answers

Answer:

2+2 equals 4

Step-by-step explanation:

I NEED HELP!!
..
Independent Practice

x y


-2 1


3 6


8 11



For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.



A.

yes; y= −1/2x



B.

yes; y= 1/2x



C.

yes; y= 11/8x



D.

no


THE ANSER IS NOT LETTER C. yes; y= 11/8x

Answers

Answer:

i cant find the answer

Step-by-step explanation:

sorry

Find the value of X
A. 40 degrees
B. 50 degrees
C. 60 degrees
D. 100 degrees

Answers

The value of x from the given figure is 40 degrees

Geometry

Geometry is a way of relating lines and angles using theorems;

circle theorems

To get the value of x, we will use the expression based on the circle theorem:

80 = 1/2(200 - x)

Cross multiply

80 * 2  = (200 - x)

160 = 200 - x

x = 200 - 160

x = 40

Hence the value of x from the given figure is 40 degrees

Learn more on circle theorem here: https://brainly.com/question/25938845

Need answer ASAP!!
Find the area of the shaded region.

Answers

Answer:

(5x² +7x -26) units²

Step-by-step explanation:

[tex]\boxed{area \: of \: rectangle = length \times breadth}[/tex]

Area of shaded region

= Area of larger rectangle -area of smaller rectangle

Area of larger rectangle

= (3x -4)(2x +2)

= 3x(2x) +3x(2) -4(2x) -4(2) (Expand)

= 6x² +6x -8x -8

= 6x² -2x -8

Area of smaller rectangle

= (x -6)(x -3)

= x² -3x -6x +18 (Expand)

= x² -9x +18

Area of shaded region

= 6x² -2x -8 -(x² -9x +18)

= 6x² -2x -8 -x² +9x -18

= 5x² +7x -26

Find the binomial that completes the factorization.
s^3–1=( ) (s^2+s+1). Help ASAP

Answers

Answer:

(s - 1)(s² + s + 1)

Step-by-step explanation:

s³ - 1 ← is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

s³ - 1

= s³ - 1³

= (s - 1)(s² + s + 1)

The required factorized form of the given expression is (s - 1)(s² + s + 1).

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

We have been given that the expression below as

s³ - 1

We have to determine the factor of the given expression

As per the question, we have

s³ - 1

This is a difference between cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²) , then

⇒ s³ - 1 = s³ - 1³

⇒ (s - 1)(s² + s + 1)

Thus, the required factorized form is (s - 1)(s² + s + 1).

Learn more about the Factorization here:

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Marla's mom bought a 36-pack of water bottles at the supermarket. Each bottle has 500 mL of water. How many liters of water is this?

Answers

Answer:

18 L

Step-by-step explanation:

36 packs * 500 mL =  18000 mL

18000 mL / 1000 = 18 L

help! My back door is jammed and my dog is outside! What do I do?

Answers

Answer:

go through the other door and get your dog... and then just wait for a parent to fix the door so you dont rip it of the rims

Step-by-step explanation:

Answer:

Just go out through the backdoor and save your dog and wait for your parents duh

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Science Mean is 87.5. Social Studies mean is 88.2. So, option A is the correct answer!
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