What are the solutions of this quadratic equation?

What Are The Solutions Of This Quadratic Equation?

Answers

Answer 1
Answer:

B.

Step-by-step explanation:

   [tex]x^2-8x+97=0[/tex]

[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4\times1\times97}}{2\times1}\left\{x=\left.\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}\right\}\right.[/tex]

  [tex]=\frac{8\pm\sqrt{-324}}{2}[/tex]

  [tex]=\frac{8\pm18i}{2}\left\{i^2\right.=-1\Longrightarrow\sqrt{-1}=\left.\ i\right\}[/tex]

[tex]\Rightarrow x_1=4-9i,x_2=4+9i[/tex]

[tex]\therefore Choose\ B.[/tex]

I hope this helps you

:)

   


Related Questions

What fraction shows what each person gets if 9 friends share 5 apples?

Answers

Answer: 5/9 of an apple

Step-by-step explanation:

Since there are more people than apples, you know that the aples are going to be cut and every person will get less than one apple. You just divide the 5 apples to the 9 people. The simple way is putting the numbers and making it a fraction. In this case, 5/9. 5 apples as the numerator and 9 people as the demoninator.

what is the color of the sky

Answers

Answer:

Step-by-step explanation:

Reflection of the ocean, blue

Translate the following:

“the square of the difference of six and a number, increased by two, is the same as negative 10”

Answers

The 3 option is correct

The equation is (6 - x)² + 2 = -10.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

An absolute numerical number is referred to as a constant.

Variable: A symbol without a set value is referred to as a variable.

Given a phrase

“the square of the difference of six and a number, increased by two, is the same as negative 10”

the first part of phrase is,“the square of the difference of six and a number"

let the number be x

(6 - x)²

increased by 2

(6 - x)² + 2

is the same as negative 10

(6 - x)² + 2 = -10

Hence the equation is (6 - x)² + 2 = -10.

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Help help ASAP help help

Answers

To answer wait you put into the big, it would be .28 since when making a percentage a decimal you move the decimal point to the left twice. There is always an invisible decimal after a whole number (ex. 28.0). And to find out what 28% of 140 is you simply do .28 x 140 to find that, which is 39.2.

Hope this helps!

Write 640 : 60 in the lowest form

Answers

32 : 3Divide both terms by 20

Answer:

32 : 3

Step-by-step explanation:

Answer- 32 : 3

Divide Both Sides By 20

Mrs. Terneus owns a breakfast
restaurant. On Saturday, she
served (124 people, and Sunday she
serves 238 people. If every person
eats 2 eggs. How many eggs does
she use?
hil

Answers

724 eggs

124 people + 238 people = 362 people

362 people * 2 eggs = 724 eggs

5 Lian put $3,500 into an investment
account that pays 2% interest compounded
annually. If she makes no additional
deposits or withdrawals, which amount is
closest to the total interest Lian will earn on
this investment at the end of 5 years?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}[/tex]

1. The sum of Teresa's and Cathy's weight is
118 pounds. Teresa weighs 26 pounds more
than Cathy. If Teresa's weight is T and Cathy's
weight is C, which of these systems of
equations best represents this relationship?
A) T+C = 118
T= 26
B) T+C = 118
T +26=C
C) T+C=64
T-C= 26
D) T=C + 118
T=C+26
E) None of the above

Answers

Answer:

d

Step-by-step explanation:

E is ththe answer

the first equation should be T + C = 118 and the second equation should be C + 26 = T

none of these equations are correct

What is the quotient? X-3 divided by 4x squared + 3x + 2

Answers

Answer:

4x+15

Step-by-step explanation:

divisor- x-3

dividend-4x^2+3x+2

to find the quotient,

dividend=(disivor X quotient)+ Reminder

4x^2+3x+2=(x-3 x 4x) + (15x+2)

4x^2 +3x+2= (x-3 x 4x + 15) + (47)

so the quotient would be 4x+15

The cost of a mathematics textbook is 25 dollars.
A school gets a 15% discount because it buys 60 books
Calculate the total reduction in price.

Answers

Hello there! Im Tutor Melisa

Solution:
60 × 25 × 15% (Given Conditions)
60 × 25 × 0.15 (Reorder the groups by converting percentages to decimal)
(60 × 0.15) × 25
9 × 25

Answer:
The total reduction in price is 225

Can somebody solve the equation just put the answer

Answers

Answer:

Whats the equation ?

Step-by-step explanation:

.

Answer the question for 20 points

Answers

Answer:

nahh its says 10 points

Step-by-step explanation:

Answer:

idek wut that means but it says 10 not 20

I will give Brainliest!!!

A collenge student takes out a $7500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe after 2 years, if the bank charges 3.8% interest each year?

Answers

Answer:

$7897.5

Step-by-step explanation:

..............

Find the area of the figure.EXPlAIN THE STEPS!!!!

Answers

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

Divide the shape into two smaller "known" shapes (Refer to image). Determine the area of those "known" shapes. Add the area of the known shapes to obtain the area of the figure.

Determining the area of shape 1 (Rectangle 1):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 2.1 × 4.8

⇒                               = 10.08 yd²

Determining the area of shape 2 (Rectangle 2):

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 6.4 × 3.2

⇒                               = 20.48 yd²

Determining the area of the figure:

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒                         = 10.08 + 20.48

⇒                         = 30.56 yd²

Solve for X: Correctly answer the question

Answers

Answer:

x=16

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(8+24) * 8 = x^2

32*8 = x^2

256  =x^2

Take the square root of each side

sqrt(256) = sqrt(x^2)

16 = x

∠A and \angle B∠B are supplementary angles. If m\angle A=(6x+10)^{\circ}∠A=(6x+10)

and m\angle B=(4x+30)^{\circ}∠B=(4x+30)

, then find the measure of \angle B∠B.


If u give answer ill give 100 points NOT FAKE PLS I NEED HELP

Answers

Answer:

86 Degrees

Step-by-step explanation:

First we need to apply the defenition of a Supplementary Angle: A supplrementary angle means an angle whos measure is 180degrees.

As we are given two angles labled supplementary we must know that angleA + angleB = 180degrees.

Now we are given two equations for the measure of each angle.

measure of A = 6x+10

measure of B = 4x+30

We simply plug this into the first equation I've stated above.

6x+10 + 4x+30 = 180

Simplify

10x+40 = 180
10x = 140
x = 14

Now that we have X, we plug this into the measure B equation to get the measure.

4x + 30
(Plug 14)
4(14) + 30

56 + 30

86 Degrees

Jessica is working on a craft project for school. She is using 2 pieces of ribbon. She has 1/8 of a yard of blue ribbon and 3/4 of a yard of red ribbon. Plot the amount of each ribbon she has on a number line.

Please answer this question fast!! xx

Answers

Answer:

So, draw a number line on a piece of paper. Then, divide it into eight parts and graph the points (I did them in the colors of the ribbons)

What are the zeros of this function?
5
O A. x = 0 and x = 2
O B. x = 0 and x = -4
O c. x= 0 and x = 4
O D. x = 2 and x = -4
THANK YOU

Answers

Answer:

the answer is x=0 and x=4

For the functions h(x) = -2x + 4 and g(x) =4-x/2, find:
a. h(g(6))
b. g(h(-4))
c. Does it appear that h and g are inverses of each other? Explain.

Answers

do if didn't have the right of way I could get the latest in my life in a couple days and nights sleep and then he can get it to you soon after a while to get the latest version of the most part

what is equivalent to sin10cos25-cos10sin25

Answers

Answer:

- 0.2588

Step-by-step explanation:

Theory: sin(a - b) = sin(a)*cos(b) - cos(a)*sin(b)

In this case  a stands for 10 AND b stands for 25

Hence:

sin10cos25-cos10sin25 = sin (10 - 25) = sin (-15) = - sin(15) = - 0.2588

Find the next term of the following sequence.
9, 6, 4, …

Answers

Answer:

3

Step-by-step explanation:

9 - 3 = 6,

6 - 2 = 4,

4 - 1 = 3

Write the expanded notation for 2,846.079. State the letter of the correct answer.

Answers

Answer:

2000+800+40+6+0.07+0.009

Step-by-step explanation:

Maybe?

The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

How does scientific notations work?

The number is written in the form  [tex]a \times 10^b[/tex] where we have[tex]1 \leq a < 10[/tex] The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.

We have to write the expanded notation for 2,846.079.

The expanded form of the given term is;

2,846.079 = 2000+800+40+6+0.07+0.009

Hence, The expanded form of the given term 2,846.079 can be written as; (2000+800+40+6+0.07+0.009)

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Kate did a survey to find the average hand span of the students in her class. She asked the following question:


What is the hand span of each student in the class?


Is Kate's question a statistical question, and why or why not?


Yes, because it asks a question that can be answered correctly

Yes, because it anticipates variability in students' hand spans

No, because it does not ask a question that can be answered correctly

No, because it does not anticipate variability in students' hand spans

Answers

I think it’s A sorry if I’m wrong

PLEASE HELP ME WITH THIS!!!

Answers

Answer:

D

Step-by-step explanation:

Its saying a line which is not two lines. Parallel lines contain 2 lines not 1.

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.

Answers

I don’t see no options? But if you simplify the answer is -30x^2 - 4x + 8 hope it helps

A retailer’s gross margin on a $150 item is $40. Calculate GMC as a percentage.

Answers

The gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

How to find how much percent 'a' is of 'b'?Suppose a number is 'a'Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

[tex]\dfrac{a}{b} \times 100[/tex]

(in percentage)

Given that:

The cost of the considered item =  $150The gross margin of retailer on that item = $40

Here we assume that the term GMC is referring to gross margin cost.

Let this gross margin cost (GMC) $40 be P% of the original cost of the item $150.

Then, we get:

[tex]p = \dfrac{40}{150} \times 100 \approx 26.67 \text{(in percentage)}[/tex]

Thus, the gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.

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Help help help math math

Answers

Answer: b. x>5

Step-by-step explanation:

You solve it like an equality except when you divide with negative number you switch the sign.

4x-6 > 14
4x > 20
X>5

A cylinder has a height of 15 inches. Its volume is 3,014.4 cubic inches. What is the radius of the cylinder?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth

Answers

Answer:

Radius = 8in

Step-by-step explanation:

[tex] \hookrightarrow \sf \: V = {\pi r}^{2} h[/tex]

Where,

v = 3014.4h = 15π = 3.14

⇢ 3014.4 = (3.14)(r²)(15)

⇢ 3014.4 = (r²)(47.1)

⇢ 3014.4 = 47.1r²

⇢ 3014.4/47.1 = 47.1r²/47.1

⇢ 64 = r²

⇢ r = √64

⇢ r = 8

[tex] \therefore [/tex] The value of radius is 8 inches


Help me with this question please anybody

Answers

Answer:

  x = 19

Step-by-step explanation:

The work shown is almost complete. It can be finished by multiplying both sides of the equation by the inverse of the coefficient of x.

  x-coefficient: -1/3

  inverse of x-coefficient = 1/(-1/3) = -3

Then you have ...

  [tex]-3\left(-\dfrac{19}{3}\right)=-3\left(-\dfrac{1}{3}x\right)\\\\19=x\qquad\text{simplify}\\\\\boxed{x=19}[/tex]

12+ b/6 = 16 what is the variable?

Answers

Answer:

[tex]b = 24[/tex]

Step-by-step explanation:

Step 1:  Subtract 12 from both sides

[tex]\frac{b}{6} + 12 - 12 = 16 - 12[/tex]

[tex]\frac{b}{6} = 4[/tex]

Step 2:  Multiply both sides by 6

[tex]\frac{b}{6} * 6 = 4 * 6[/tex]

[tex]b = 24[/tex]

Answer: [tex]b = 24[/tex]

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