What are the solutions of x^2 - 2x +2 = 0?
A. X= i Or x= -i
OB. X= 2+ i or x = 2- I
O C. x = 1+i or x = 1-i
O D. x = 2i or x = -2i

Answers

Answer 1

Answer:

C

Step-by-step explanation:

Given

x² - 2x + 2 = 0 ( subtract 2 from both sides )

x² - 2x = - 2

To solve use the method of completing the square

add ( half the coefficient of the x- term)² to both sides

x² + 2(- 1)x + 1 = - 2 + 1

(x - 1)² = - 1 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{-1}[/tex] = ± i ( add 1 to both sides )

x = 1 ± i , then

x = 1 + i or x = 1 - i → C


Related Questions

De cuántas formas se puede vestir una mujer teniendo 3 blusas (blanca, azul, rosada), dos pantalones (negro y café) y tres pares de zapatos (negros, azules, grises) (tomado de precalculo James Stewar)

Answers

Answer:

Step-by-step explanation:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día!

During a recent storm, 1.7 inches of rain fell each hour. If the storm lasted for 4 hours, how much rain fell during the entire storm?
A 4.8
B 5.9
C 6.3
D 6.8

Answers

Answer:

D) 6.8 inches

Step-by-step explanation:

1.7 x 4 = 6.8 inches

S 6.8 inches of rain

5x+10 resultado cuál es?

Answers

Answer:

What is x? I will tell you the answer in the comments!! Thank you!!

The answer is 5(x+2)

PLZZ HELPP ILLL GIVE BRAINLIST

Answers

Answer:

the last one the red one or is that orange is right

Step-by-step explanation:

Orange or is it a red whatever it is it’s that one

A used-car salesperson purchased
a car for $4000 and sold it for 40%
more. What was the selling price of
the car?

Answers

Answer:

5,600 dollars he sold it for

Step-by-step explanation:

Basically if you cross multiply, you'll do 4,000 times 40. Then divide what you get from multiplying by 100, so do 160,000 divided by 100 in this case. Then when you get that 1,600, it isn't the final step. Lastly, you'll have to add 1,600 on to 4,000 to get the markup selling price. :)

Answer choices:

16/3
40/9
4/9
4/3

Answers

Answer:

0.44444444 or 4/9

Step-by-step explanation:

Since we know the value of [tex]x[/tex], we can rewrite the equation replacing the variables.

[tex]\frac{2}{3}^{2} + 3*\frac{2}{3} - 2[/tex]

Now solve. While solving, remember the order of operations.

[tex]\frac{2}{3}^{2} + 3*\frac{2}{3} - 2 = 0.44444444[/tex] or [tex]\frac{4}{9}[/tex]

Factor 20t + 35
I don't understand how to factor ​

Answers

55t it’s easy just add

Answer:

5(4t + 7)

Step-by-step explanation:

1) notice the 20 and 35 are both divisible by 5

2) factorise using 5

5(4t + 7)

Find the surface area of the figure.
22 m
12 m
5 m

Answers

Answer:

Step-by-step explanation:

5*12=60

60*22=1320

ASAP (WILL MARK BRAINIEST)
A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the
grams
emerald is 2.76 cm3 what is the volume? Round to the nearest hundredth when necessary and only
enter numerical values, which can include a decimal point. (6 points)

Answers

294.22cm3 hope this helps!!

A die is rolled twice. What is the probability of getting two even numbers?

Answers

Answer:

1/2

Step-by-step explanation:

1/2 cause the chance Is equal

line segment CD has coordinates C(-1,9) and D(-7,1). If line segment EF is parallel to line segment CD, what is the slope of line segment EF?

Answers

Answer: Slope of segment EF is -4/3

Answer:

The answer is -3/4

Step-by-step explanation:

:)

N January, the price of a dozen eggs at a grocery store was $0.89. By June, the price had increased to $0.99. What was the percent of increase in the price, to the nearest tenth of a percent?

Answers

11.236% increase
hope this helped

The initial price of eggs is $0.89 which is then increased to $0.99, so the percentage increase in the price is 11.23%.

What is Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given data in the question,

The price of dozen eggs = $0.89

The price increase by June = $0.99

The percentage increase in the price,

% increase = (0.99 - 0.89)/0.89 × 100

% increase = 11.2%

Therefore, the increase is 11.2%.

To know more about Percentage:

https://brainly.com/question/29306119

#SPJ2

ANSWER FOR BRAINLIEST:

The low temperatures for the last five days are: Low Temperatures: 62, 46, 50, 52, 55.

Find the MEAN ABSOLUTE DEVIATION (MAD) of the temperatures

Answers

Answer:

4.4

Step-by-step explanation:

The mean absolute deviation is 4.4, and you can just search "mean absolute deviation calculator ".

A car uses 10 liters of gasoline every 180 km. How many km. will it travel with 48 liters?

Answers

Answer:

864 km

Step-by-step explanation:

Hope this helps! (I would appreciate brainliest, if not that's okay!!)

Escribe cada expresión como un numero racional.

A. El denominador es el triple del numerador disminuido en 2 y el numerador es el menor múltiplo de 5 diferente de 0.

B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.

ayudenme pliss

Answers

Answer:

es la B. El numerador es cuatro veces menor que el denominador, que corresponde al resultado de 8 · 2.

42 = 7 ( x + 5 ) solve for x

Answers

Answer:

x = 1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

1. distribute 7 to x and 5.

42 = 7x + 35

2. subtract 35 on both sides.

7 = 7x

3. Divide by 7 for both sides.

1 = x

Isaac has three types of coins in his pocket. There are two more quarters than dimes, and as many nickels as quarters and dimes together. The coins total $3.75. How many quarters, dimes, and nickels are in Isaac's pocket?

Answers

Answer:

There are 16 nickels, 7 dimes, and 9 quarters.

Step-by-step explanation:

Aight, so lets set dimes as "x". Since there are 2 more quarters than dimes, quarters is "x+2". And since nickels is equal to dimes plus quarters, nickels takes the role of "(x+2)+x". We can simplify this by adding x and x together, so nickels is "2x+2" In this example, I'm converting these variables to cents, since it's easier than converting to dollars. Since a dime is 10 cents, 10 times x is"10x". Quarters are worth 25, so first we do x times 25 (25x) and then 2 times 25 (50). Then nickels. 2x+2 times 5 is 10x + 10. Alright, so now we have our cent values. $3.75 is 375 cents, so now we can make an equation:

10x + 25x + 50 + 10x + 10 = 375 cents.

I'm guessing you already know how to solve an equation, first combine like terms, then figure out how many times the variable goes into the numerical value. You should end up with 7, which is dimes. If we go back to our problem, we see that there are 2 more quarters, so 7+2= 9 quarters. As for nickels (9+7) there are 16 nickels.

There's probably a more efficient way to do this, but since I'm so... uh... inefficient, this is the best explanation I can do :p

Answer:

16 nickels 7 dimes 9 quarters

Step-by-step explanation:

im just that smarttttttt lol!! hope this helped


helppppppppppppppppppppppppppppppp

Answers

Answer:

b

Step-by-step explanation:

Compute the value of the discriminant and give the number of real solutions of the Quadratic equation 3x^2+5x-2=0

Answers

Answer:

Discriminant = 49, two real solutions

Step-by-step explanation:

Discriminant = b² - 4ac = (5)² - 4(3)(-2) = 25 + 24 = 49

Since 49>0, then the quadratic equation has two real solutions.

Answer:

D=49  

x=1/3

x= -2

Cindy says that 1/4 divided by 12= 3. is she correct? if not, justify your reasoning and give the correct quotient

Answers

Answer:

No, Cindy is not correct.

Step-by-step explanation:

1/4 divided by 12 is dividing by a fraction

So:

1/4 / 12/1 = 1/4 x 1/12=1/48

1/48 is not equal to 3

sine of z if the opp=5 hyp=6​

Answers

Step-by-step explanation:

sin z = 5/6

since sin= opposite/hypo

Answer:

decimal form = 56.4426....

degree form = 56 degrees 26 minutes 33.68 seconds

Step-by-step explanation:

sin theta = opposite/hypotenuse

sin theta = 5/6

theta = sin-1 (5/6)

–6z^2− 8z + 8 = 0
sole using the quadratic formula

Answers

Answer:

Simplifying

6z2 + -8z + 1 = 0

Reorder the terms:

1 + -8z + 6z2 = 0

Solving

1 + -8z + 6z2 = 0

Step-by-step explanation:

If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form

Answers

Answer:

Step-by-step explanation:

If cot= -1/3 and cos theta Greater than 0, find the trigonometric function values in simplest radical form

HELP YOU GET BRAINLIEST!! What is the cost of 8 shirts?!

Answers

Answer: B, 120

Step-by-step explanation:

look at x-value 8 and find y-value

Answer:

the cost of 8 shirts would be $120.

Step-by-step explanation:

if you go to the 8 on the bottom where it says "number of shirts" and you follow that line up to the blue dot and then over, you reach 120 on the side where it says "cost" so your answer would be $120.

Nat wants to buy a new bike for $240. She has already saved $67. Over the summer, she will earn $100 per month walking dogs.
How many months will it take her to earn the rest of the money she needs to buy the bike? Enter the answer in the box.
months

Answers

Answer:2 months

Step-by-step explanation:

PLZZZ HELP ME!!!

Find the volume of the pyramid.

An oblique rectangular pyramid with a base length of 3 centimeters and a width of 1 centimeter. The pyramid has an altitude of 7 centimeters.

Answers

V=lwh/3

=3*1*7/3

=21/3

=7

Hope you like my answer.

Answer:

V=7 (Volume)

Step-by-step explanation:

V=lwh/3=3*1*7/3=7

Susan has 12 pizzas that she needs to divide equally among 7 classrooms.
Which fraction shows how many pizzas each classroom should get?

Answers

12/7=1.714 for each class

Answer:

1 5/7

Step-by-step explanation:

12 ÷ 7 = 1R5, therefore, we have 1 whole and 5/7

Hope I helped

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Answer:

6) -10

7) b

hope this helps :)

answer for brainilest 11 points

Answers

Answer:

729 is 3 to the power of 6

Step-by-step explanation:

Answer:729

Step-by-step explanation: 3x3x3x3x3x3=729

My little brother spent $5 on comic books and magazines. He bought 4 items. If comic books
cost $1 and magazines cost $2, how many of each item did my brother buy?
comic books
magazines

No links please!
Thank you

Answers

Answer: He bought 1 magazine and 3 comic books.

Step-by-step explanation: If comic books cost $1 and magazines cost $3, the equation for the problem should look like this: 2(m) + 1(c) = 5, since you know that the brother spent $5 in total. "m" represents the number of magazines purchased while "c" represents the number of comic books purchased. If you plug in 1 for "m" and 3 for "c", the equation would be true and would equal a total of $5. Also, 1 magazine and 3 comic books would mean that the little brother did, in fact, purchase 4 items.

POOPITY SCOOPITY POOP
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