What are the solutions of x2 - 2x + 10 = 0 ?

What Are The Solutions Of X2 - 2x + 10 = 0 ?

Answers

Answer 1

Answer:

Step-by-step explanation:

=

±

2

4

2

x

=

b

±

b

2

4

a

c

2

a

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2

2

+

1

0

=

0

x

2

2

x

+

10

=

0

x2−2x+10=0

=

1

a

=

1

a=1

=

2

b

=

2

b=−2

=

1

0

c

=

10

c=10

=

(

2

)

±

(

2

)

2

4

1

1

0

2

1

x

Answer 2

Answer:

C. x=1+3i, x=1-3i

Step-by-step explanation:

[tex]\frac{-\left(-2\right)\pm \sqrt{\left(-2\right)^2-4\cdot \:1\cdot \:10}}{2\cdot \:1} \\=\frac{-\left(-2\right)\pm \:6i}{2\cdot \:1}\\x_1=\frac{-\left(-2\right)+6i}{2\cdot \:1},\:x_2=\frac{-\left(-2\right)-6i}{2\cdot \:1}\\\frac{-\left(-2\right)+6i}{2\cdot \:1}\\ =\frac{2+6i}{2\cdot \:1}\\=\frac{2+6i}{2}\\=\frac{2\left(1+3i\right)}{2}\\1+3i\\\\\\frac{-\left(-2\right)-6i}{2\cdot \:1}\\=\frac{2-6i}{2\cdot \:1}\\=\frac{2-6i}{2}\\=\frac{2\left(1-3i\right)}{2}\\1-3i\\x=1+3i,\:x=1-3i[/tex]


Related Questions

Help please! Will give brainliest!!

Answers

Refer to the attachment

Answer:

$714

Step-by-step explanation:

Given:

A = 9000 i = 8.2% or 0.082  n = 9   d = ?

Use the given formula and find d:

[tex]A=d(\frac{(1+0.082)^9-1)}{0.082})[/tex][tex]9000=d*12.6[/tex][tex]d=9000/12.6[/tex][tex]d=714[/tex]

The difference between 12 and ten times a number is -28

Answers

Answer:

4

Step-by-step explanation:

[tex]n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}[/tex]

PLEASE HELP!!!!!!!!!!!!!!!!!

Answers

Answer:

7.11[tex]\leq[/tex]-7.1

Step-by-step explanation:

Answer:

Question 1- C. 7.11 > -7.1

Question 2- True

Question 3- -3 < -1 and -3 ≤ -1

Question 4- I don't know

Question 5- {3,4}

Step-by-step explanation:

I ran it through the calculator only on question 4 I didn't know the answer

-Rocketgamer360

The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.


On a coordinate plane, 2 lines intersect at (negative 4, negative 3).

According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)

Answers

The answer is ( -4, -3 )

Answer:

-4 -3

Step-by-step explanation:

geomtry plzz help 15 points

Answers

Answer:

[tex]23<d<7[/tex]

Step-by-step explanation:

To solve this we have to find the number greater than [tex]d[/tex] and less than

the way we find these is by adding the larger number with the smaller number and subtracting the larger number with the smaller number

[tex]15+8=23\\15-8=7\\[/tex]

Our answer is [tex]23<d<7[/tex]

brainliest please

A bedroom is in the shape of a square. The length of the room is 6p7q. What is the area of the bedroom in terms of p and q?

Answers

Answer:

(6p7q)²

Step-by-step explanation:

you have to square the length to find the area of a square

The area of the bedroom would be (6p7q)² square units.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

A bedroom is in the shape of a square. The length of the room is 6p7q.

According to the given question, we can write the dimension as:

The width of the room = 6p7q units

The length of the room = 6p7q units

The area of the room = width of the room ×  length of the room

The area of the room = 6p7q × 6p7q

Apply the multiplication operation,

The area of the room = (6p7q)² square units

Therefore, the area of the room is (6p7q)² square units.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

Line a passes through points (3, 1) and (5, 10). Line b is parallel to line a. What is the slope of line b?

Answers

Answer:

9/2

Step-by-step explanation:

Answer:2.8

Step-by-step explanation: casue yeas.

The Washington High key club is selling brownies and chocolate chip cookies to raise money. Their table only has room for 100 baked goods. Previous bake sells has taught them to plan to bake at most 30 brownies and at least 50 cookies. Write and graph a system of inequalities to represent the possible number of baked goods.

Answers

Step-by-step explanation:

Let x - brownies, y - cookies.

According to given w have following inequalities

Their table only has room for 100 baked goods:

x + y ≤ 100

Plan to bake at most 30 brownies and at least 50 cookies:

x ≤ 30y ≥ 50

See attached for the graphical solution

The solution is within the marked boundaries.

Need help!! Answer asap!! No links! What is the most likely reason that nonmetals are electrical insulators?
A. Since valence shells are mostly empty in nonmetal atoms, the atoms attract and hold any electrons they can in order to fill their valence shells.
B. Since valence shells in nonmetal atoms are almost full, the atoms attract electrons and hold them tightly to fill their valence shells.
C. Since all nonmetals have valence shells that are full, they hold electrons tightly to avoid changing.
D. Since all nonmetals have valence shells that are completely empty, they do not attract or release any electrons.

Answers

Answer:

B. because it just isssssssss I'm typing things to let me answerrr

1 1/16 divided by 1/1/16

Answers

Answer:

i dont know

Step-by-step explanation:

i really dont know

Convert fractions into percents

1/16= __

Answers

Answer:

160%

Step-by-step explanation:

Multiply both numerator and denominator by 100. 1.6 × 100100.

= (1.6 × 100) × 1100 = 160100.

Write in percentage notation: 160%

6.25% it would be the answer

w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls​

Answers

This is your answer and for the multiplication I gave it to you step by step

If a recipe for a cake calls for 2 1/2 cups of flour and Mary wishes to make 3 cakes, how many cups of flour does she need A. 6 B. 6 1/2 C. 7 1/2 D. 9 E. 9 1/2

Answers

Answer:

option C 7½ is correct hope this answer helps you dear! take care

Amelia and her children went into a grocery store and she bought $10 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a total of 12 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Amelia bought.

Answers

Answer:

8 apples

4 bananas

Step-by-step explanation:

8 apples (8$)

4 bananas (4$)

12 total

10 $ total

hope it helps

Which is greater, -6.4 or -6.5? please explain !!

Answers

Answer:

-6.4 is GREATER.

The number closest to 0 is greater.

Find the value of the expression 4a + 7 when a= 1/2.
plssss help quiiick

Answers

Answer:

The answer is 9

Step-by-step explanation:

1/2 of 4 is 2, so you plug that in

2+7=9

If xcos(x)= 2, find (-x) • cos(-x)

Answers

[tex](-x) \cos(-x)\\\\=-x \cos x \\\\=-(x \cos x)\\\\=-2[/tex]

The ratio of the number of hamsters to the number of mice in a pet store is 3 to 2. How many hamsters are there, if there are 12 mice?

Answers

Answer:

18

Step-by-step explanation:

you can do 12/2 to get 6 (the scale factor) and then multiply 3 by 6 and get 18

Select the correct answer.

Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?

A. point U

B. point V

C. point W

D. point X


Answers

Answer:

the answer is A. point U

or it's point W

Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days

Answers

Solution:

[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]

Answer:

13:5

Hope it helps.

Do comment if you have any query.

PLEASE SOMEBODY HELP Let x and Y be two positive integers such that x-y =75 and the least common multiple of x and y is 360. Find the value of x+y.​

Answers

Step-by-step explanation:

xy=360

x-y=75

(x-y)^2+2xy=(x+y)^2-2xy hence we have for x+y= ((x-y)^2+4xy)^0.5 which somehow equals 84.1

Find the sum or difference. Enter the answer as a fraction, using the slash ()
as the fraction bar.

2/15+5/15

Answers

Answer:

7/15

Step-by-step explanation:

2/15 + 5/15 = 7/15

Hoped this helped.

Elli left home8:30 and returned at 1:25how long was she away from home?














Answers

Answer:

3 hours and 45 minutes assuming its from am to pm

Step-by-step explanation:

Hope This Helps

4 hours and 55 Minutes

Will the answer to the addition problem below be odd or even?
2156 +992 = ?

Answers

Answer:

Even

Step-by-step explanation:

When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.

Even l, because 2156+992=3148, and thats even

11.1 ÷ 3 please tell me

Answers

Answer:

3.7

Just divide 11.1 by 3 in the calculator

Answer:

3.7

Step-by-step explanation:

make me a brainliest

If a crate of 250 apples costs $95, what is the unit cost

Answers

The unit cost of an apple in a crate of 250 apples is $2.63.

Given the following data:

Total number of apples in a crate = 250 applesCost of a crate of apple = $95

To determine the unit cost of an apple:

In this exercise, you're required to calculate the cost of one apple in a crate, knowing that there are 250 apples in total at a cost of $95.

Thus, we would divide the total number of apples by the total cost of all the apples as follows:

[tex]Unit\;cost = \frac{Total\;apples}{Total\;cost}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Unit\;cost = \frac{250}{95}[/tex]

Unit cost = $2.63

Read more on cost here: https://brainly.com/question/13214374

A canoe travels 8 miles per hour downstream and 2 miles per hour upstream.
Let x represent the canoe's speed with no water current (still water) and y
represent the speed of the water current, in miles per hour. Then the situation
can be represented by this system of equations:
X+ y = 8
x - y = 2
Choose the two correct options.
A. The speed of the canoe in still water is 3 miles per hour.
B. The speed of the water current is 5 miles per hour.
C. The speed of the water current is 3 miles per hour.
D. The speed of the canoe in still water is 5 miles per hour.

Answers

Answer:

D

Step-by-step explanation:

I know this is super late and you probably don't need this, but for anyone who needs it, here is the answer!
Answer:

D and C

Step-by-step explanation:

We are doing the elimination method. We are subtracting so we can eliminate the x variable
 x + y = 8
- (x - y = 2)
---------------------
0x + 2y = 6
(0x is there just to show that x is eliminated but the equation is now just 2y = 6)
now solve for y (divide 2 on both sides)
y = 3

Now we can use Y to find x. Use any equation (either x + y = 8 or x - y = 2) and then plug in the y value.

x - 3 = 2.

Add 3 on both sides and you get
x = 5

Now! From the question we see that x is canoe speed and y is water current speed. And since x is 5 and y is 3, the answer is D and C since the water current is 3 and canoe speed is 5. Hope this helps!!

if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why

Answers

Answer:

Step-by-step explanation:

It's completely false. If I remember the odds it takes 23 people to get a probability of 1/2 to get a 50% chance of two of the people to have the same day, never mind the same year.

When I was growing up, I had the pleasure of sharing my birthday on the same day as one of my classmates. I was in Grade Three at the time. We were  born in the same year. That's the only time I ever heard of it during my childhood. There were 26 in the class.

Later on when I was teaching I tried it in a class of 20. I had forgotten that the class contained a set of twins.

If the class is more random 23 people gives a 50% chance of a duplication of the year but not the year.

Using the point-slope formula, what is the equation of the line that passes through the points (1,5) and (0, 0)?
O A. y = 5x
OB. y = 5x + 10
O C. y = x
OD. y = 5x - 1

Answers

Answer:

y =5x

Step-by-step explanation:

[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]

(5 - 0) = m(1 - 0)

5 = m(1)

5 = m

[tex]y_{1}-y_{2} = m(x_{1} - x_{2} )[/tex]

y - 5 = 5(x - 1)

y - 5 = 5x - 5

y = 5x -5 + 5

y = 5x

Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?

Answers

4 3/8ths ribbon is the total
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