solve quadratic equation x²-8x-1=0 by formula method​

Answers

Answer 1

Answer:

x²-8x-1=0

comparing above equation with ax²+bx+c=0

a=1

b=-8

c=-1

x=

[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

=(--8+-√(64-4×1×-1)/2×1

=8+-√(64+4)/2

taking positive

x=(8+√68)/2=2(4+√17)/2=4+√17

taking negative

x=(8-√68)/2=2(4-√17)/2=4-√17


Related Questions

Find the dimensions of the square or circle.

Answers

Complete question is;

Find the dimensions or, the square or circle. Area = 64π in²

Answer:

r = 8 inches

Step-by-step explanation:

We know that formula for area of a circle is; A = πr²

Where r is radius.

We are given Area as 64π in²

Thus;

πr² = 64π

π will cancel out to give;

r² = 64

r = √64

r = 8 inches

find the slope of 12x-3y=6

Answers

Answer: 4

Step-by-Step Explanation: When written in slope-intercept form, the equation becomes y = 4x - 2; the basic structure of this formula is y=mx+b, where m is the slope and b is the y-intercept.

Knowing this information, we can also figure out the slope and y-intercept. 4, or m, is the slope of the proposed line.

Find the sum of the first 6 terms of the following series, to the nearest integer.

180, 30, 5, ...

Answers

Answer:

Step-by-step explanation:

First solve for the common ratio:

[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]

Use the geometric summation equation to solve for sum:

[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]

The sum of the first 6 terms of the following series is 540.

What is the geometric series?

A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.

The sum of the terms of the geometric sequnece is given by;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

The common ratio of the sequence is;

[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]

The sum of the first 6 terms of the following series is;

[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]

Hence, the sum of the first 6 terms of the following series is 540.

Learn more about geometric sequence here;

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Find the mean absolute deviation (MAD) of the following data set. Round your answer to two decimal places.

3, 10, 6, 9, 7, 4

Answers

Answer:The mean absolute deviation (MAD) of the data set=2.17

Step-by-step explanation:

The mean absolute deviation (MAD) is also called the Mean deviation which tells us the variation and average distance of the mean and each  data value in a data set.

Given the data set

3, 10, 6, 9, 7, 4

First find the mean

Mean  =Sum of data set / Number of data set

=3+10+ 6 +9 + 7+ 4/ 6 =39/6 = 6.5

Next step is to subtract each data set from the mean and ignoring any negative sign accompanied to find the distance from the mean

Value  distance from mean

3,        6.5 -3             3.5

10       6.5 -10           3.5

6,       6.5-6             0.5

9,        6.5 -9            2.5

7,         6.5 -7            0.5

4            6.5 -4         2. 5

Last step is to find the mean of the distances which is

Mean Deviation = (3.5+ 3.5+ 0.5+ 2.5+0.5+ 2.5) /  6

=13/6

=2.166666 rounded up to 2.17

A hot vanilla latte recipe calls for 2 1/2 cups of almond milk and makes 10 servings. How many cups of milk are needed for 15 servings?

Answers

3 is needed for it had 1 to 1/2 u get a whole meaning it would go up so for 15 serving u would 3 whole cups of milk np

Answer:

3.75

Step-by-step explanation:

1.25+2.5= 3.75

if ya need more help just ask

what is quarter to twelve on the 24 hour clock​

Answers

Answer:

11:45

Step-by-step explanation:

the perimeter of a square patio is (8x-28). what is the length of one side?

Answers

Answer:

choice 1) 2x - 7

Step-by-step explanation:

(8x - 28)/4 = 2x  -7

There are 500 middle school students. 60% of them ride their bikes or walk to school each day. How many middle school students ride their bikes or walk to school each day?


A. 450
B. 300
C. 400
D. 220

Answers

B.

60% of 500 is 300.

look at the picture ......

Answers

1. 2 1/4

2. 9 1/9

3. 6 1/5

4. 4 1/3

5. 4 1/7

6. 2 1/5

7. 10 1/6

8. 2 1/3

9. 7 1/7

10. 4 1/4

hope this helps

Answer:

2 1/3 is the improper fraction of 7/3

Two trains, Train A and B, weigh a total of 251 tons. Train A is heavier than train B. The difference of their weights is 181. What are the weights of each train?

Answers

Answer: A = 216; B = 35

Step-by-step explanation:

Based on the information given in the question, we can then make it into a mathematical equation. This will be:

A + B = 251 ....... i

A - B = 181 ....... ii

From equation i,

A = 251 - B

Put the value of A into equation ii

A - B = 181

(251 - B) - B = 181

251 - B - B = 181

251 - 2B = 181

2B = 251 - 181

2B = 70

B = 70/2

B = 35

Since A = 251 - B

A = 251 - 35

A = 216

Choose the letter of the point which is at (3.5, 3.5) in the following figure.

Answers

J.

3.5 across, 3.5 up

Tickets for a carnival for a family of 4 costs $28. The ticket includes 1 food item and 3 games.


Select all true statements below based on this information.



A The cost for 2 tickets is $20. The cost for 2 tickets is $20.


B The cost is $7 per ticketThe cost is $7 per ticket


C For $42 you could get 6 tickets. For $42 you could get 6 tickets.


D 12 tickets would cost you $60

Answers

Answer:

B

Step-by-step explanation:

28/4=7 therefore, each ticket is $7.

Answer:

B, C

Step-by-step explanation:

A is wrong due to the fact that if you divide $28 into 4 (family of 4), the cost is $7 per ticket. If you add 2 tickets together, or multiply $7 by 2, you get $14.

B is right due to the fact that each ticket is $7 if you divide $28 by 4.

C is right due to the fact that if you have 6 tickets worth $7 each, it would mean that the total cost of 6 tickets would be $42. (6*7 = 42)

D is wrong due to the fact that if you multiply 7 (the cost of each ticket) by 12, it gets you 84, not 60.

find the value of given expression

[tex] \sqrt{ \frac{1}{4} } [/tex]

Answers

Sorry its in Arabic but this is the answer 1/2
The answer to the question i was the answer to the eyes and i did not

neeed hellpppp asap noww​

Answers

Answer:

-3/5

(0,4)

Step-by-step explanation:

The slope, or m, is the change in y over the change in x. So to find m calculate how much y changes then divide that by how much the x value changes. On the table, the y-values decrease by 3 each time, and the x-values increase by 5 units each time. This means m must equal -3/5.

The y-intercept is when the line crosses over the y-axis. This will also be when x=o. So to find the intercept find when x=0; in this case, when x=0, y=4. This means the intercept is (0,4).

Sue, Janice and Maria play basketball. This season Sue shot 80 times and made 24 baskets.
Janice shot 35 times and made 16 baskets. Maria shot 145 times and made 59 baskets.
3. What proportion would help you calculate the combined percentage of baskets made for
all players?

Answers

Answer:

To start off those are horrible stats, 24 made out of 80, sooo sad :-(

Anyways for your answer you want to look at how many shot attemps

were made by all 3 players

Sue = 80

Janice = 35

Maria = 145

80 + 35 + 145 = 260

260 represent how many shots were taken altogether, which is very important.

From here calculate how many shots were made then divide total shots made with total shots taken.

Hope this helps :)

SOMEBODY PLEASE HELP ME THIS IS A TEST QUESTION.The population of bacteria doubles every hour. At 9 AM. The population is 12 bacteria. The function P (t)=12•2^t models the bacteria population tea hours after 9 AM what is the value of P (5) what does it represent in context

Answers

Answer:

The population is 384 bacteria at 2pm

Step-by-step explanation:

Because u just need multiplied

PLEASE HELP ME!!! I CAN'T FIGURE IT OUT

Draw a vertical y-axis on the left-hand side of your graph and label it. Then draw a horizontal
x-axis at the bottom of your graph. Then label the coordinates of each corner of the sign on your graph. Draw line a on your graph. What is the slope of line a?

Answers

Answer:

20

Step-by-step explanation:

The line a is an illustration of a linear function

The slope of line a is 1The equation of the line a is y = x + 2

How to determine the slope of the line?

From the complete figure, we have the following points on line a

(x,y) = (0,2) and (2,4)

The slope (m) is calculated using:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

This gives

[tex]m = \frac{4 - 2}{2 - 0}[/tex]

Evaluate

m = 1

Hence, the slope of line a is 1

The equation of line a

This is calculated as

y = m(x - x1) + y1

So, we have:

y = (x - 0) + 2

Evaluate the difference and the product

y = x + 2

Hence, the equation of the line a is y = x + 2

See attachment for the graph of line a

Read more about linear equations at:

https://brainly.com/question/4025726

This is for today someone help me?!!!!!

Answers

I think that it’s 17 not a good
angle m and r both equal 124
angle q and n both equal 56

Equation: –4x – 5 + 2x = –11
What is the value for x?
x = –3
x = 1
x = 3
x = 8

Answers

Answer:

x = 3

Step-by-step explanation:

-4x - 5 + 2x = -11

step 1 (group like terms)

-4x + 2x = -11 + 5

step 2 (evaluate)

(left hand side (L.H.S) of the '=' sign)

-4x + 2x = -2x

(right hand side (R.H.S) of the '=' sign)

-11 + 5 = -6

step 3(Equate L. H. S to R. H. S) and evaluate

-2x = -6

Divide both sides by the coefficient of 'x' ie.(-2)

-2x/-2 = -6/-2

x =3

Note: when a negative number divides a negative number the result is positive.

A right rectangular prism is shown. Find the surface area of this prism. A) 80 square feet B) 164 square feet C) 196 square feet D) 220 square feet PLEASE HELP

Answers

it would be better if you put a picture next time but i’ll just cauclate a normal rectangle to get the normal answer which is C) 196 square ft

Answer:C 196

Step-by-step explanation:

Find two integers whose sum is 4 and product is -45

Answers

Answer:

9 and -5

Step-by-step explanation:

Well 9 and -5 will equal 4 and when you multiply them it give you -45 I hope this helps

Three subtracted from x is greater than -25.

Answers

if the question is asking what is X then the answer is

X - 3 >-25

X >-25+3

X >-22

They a a lil wrong but correct hope this makes u feel good summiting

hey besties first to answer gets brainliest bc i forgot how to calculate triangles

Answers

The answer is 62 degrees. Now please give me the brainliest

plsss help i need a good grade

Answers

Answer:

Step-by-step explanation:

round to the nearest hundredth 4.231

Answers

Answer:

4.23

Step-by-step explanation:

When rounding to the nearest hundredth, the number 4.231 becomes 4.231.

To round 4.231 to the nearest hundredth, we look at the digit in the thousandth place, which is 3.

Now, If the digit to the right is less than 5, you simply drop all the digits to the right and keep the desired decimal place unchanged.

If the digit to the right is 5 or greater, you round up the desired decimal place by increasing it by one. Drop all the digits to the right.

Since 3 is less than 5, we do not need to round up.

Therefore, the number remains the same.

Rounded to the nearest hundredth, 4.231 remains as 4.231.

Learn more about Rounding off here:

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For males in a certain town, the systolic blood pressure is normally distributed with a mean of 110 and a standard deviation of 10. What percentage of males in the town that have a systolic blood pressure between 113 and 134, to the nearest tenth?

Answers

Answer:

37.4

Step-by-step explanation:

12 am 6om 60 A 180 cm B) 160 cm C 200 cm D 240 cm? ~PLEASE RESPOND AND LOOK AT PIC~ ​

Answers

Option A. 180 centimeter square

Solve this PLZZZZZZ

Answers

Answer:

X = -1, 3

Step-by-step explanation:

Find the value of x.




110


80


40


35

Answers

Answer:40

Step-by-step explanation:

The answer is 40:)))

Which table correctly shows Brian and Robert's heights in both feet and inches?​

Answers

Explanation is in the file

tinyurl.com/wpazsebu

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