solution of equation x^2-2x=-2

Answers

Answer 1

Answer:

[tex]x=1\pm i[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2-2x=-2\\\\x^2-2x+2=0[/tex]

The above equation is a quadratic equation whose solution can be given by :

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

Here,

a = 1, b = -2 and c = 2

So,

 [tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(1)(2)} }{2(1)}[/tex]

So,

[tex]x=1+i,1-i\\\\x=1\pm i[/tex]

So, the solution of the equation is [tex]1\pm i[/tex].


Related Questions

Anna spent 3/4 of her money for a dress, She has 2.00 left, How much does she have at first?

Answers

Anna had $8.00 because 2*4=8 which also means Anna spent $6.00 on her dress.

i need number 22 PLS AND THANK YOU!

Answers

Answer:

For any two given points (x1,y1) and (x2,y2), the slope = (y2-y1)/(x2-x1)

Let's take the points (15,3) and (30, 6):

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

= (6-3)/(30-15)

=3/15

=1/5 =0.2

The slope, in general, means the rate of change of y, relative to x. In the context of this question, the slope tells us that the amount of concrete that can be poured (in yards) is a fifth of the time taken (in minutes).

15.09 ÷ 0.01 = ?
267.4 ÷ 1/10 = ?

Answers

Answer:

Dividing by a fraction is multiplying by the reciprocal

15.09/1/100=15.09*100=1509

267.4/1/10=267.4*10=2674

Answer:

15.09 ÷ 0.01 = 1509

267.4 ÷ 1/10 = 2674

hope these are the answers you are looking for

Step-by-step explanation:

Give the most precise name for the quadrilateral. Then, find x and y.

a) square x=64 y=4
b) rhombus x=27 y=4
c) square x=27 y=4
d) rhombus x=64 y=20
e) parallelogram x=27 y=20

Answers

Answer:

B

Step-by-step explanation:

(2x - 1) + (2x - 1) + 127 + 127 = 360

n/b : opp angles of a rhombus are equal, sum of the interior angles of a quadrilateral is 360 and all sides of a rhombus are equal.

(4x - 2) + 254 = 360

4x - 2 + 254 = 360

4x = 360 - 252

4x = 108

x = 108/4

x = 27

6y - 3y = 3y + 7

6y - 3y = 7 + 5

3y = 12

y = 12/3

y = 4

10 × (1-6) ÷ 5
= ?


The answer is not (-10)

Answers

Answer:

It is negative ten-

Step-by-step explanation:

I need these answers

Answers

Answer:

Volume of triangular prism = 126 cm³

Step-by-step explanation:

Given:

Base of side triangle = 6.3 cm

Height of triangular prism = 4 cm

Length of side = 10 cm

Find:

Volume of triangular prism

Computation:

Volume of triangular prism = Area of triangular cross section x Length of side

Volume of triangular prism = (1/2)(b)(h) x Length of side

Volume of triangular prism = (1/2)(6.3)(4) x 10

Volume of triangular prism = (6.3)(2) x 10

Volume of triangular prism = 12.6 x 10

Volume of triangular prism = 126 cm³

Jillian picked coins from her piggy bank and recorded the number of coins in the table below.

Based on the results shown in the table, what is the probability that the coin Jillian picks will be a quarter

Answers

Answer:

1/8

Step-by-step explanation:

There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8

The probability of randomly picking a quarter is P = 0.125

How to get the probability?

If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.

In this case, we have 3 quarters, and a total of:

T = (6 + 7 + 8 + 3) = 24

Then the probability of randomly picking a quarter is:

P = 3/24 = 0.125

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

k/4 +3=14 What is the answer to this question?

Answers

Answer:

k=44

Step-by-step explanation:

Complete the square to find
the vertex of this parabola.
x2 - 6x – y + 17 = 0
([?], [])

Answers

Don’t click the link it’s a scam

Answer:

(3,8)

Step-by-step explanation:

;)

Sammy finds satellite images of a school and a museum. They put the images on a coordinate grid (shown
below).
School

Coordinate values are in meters.
Compare the area of the school and the museum.

Answers

Answer:

c

Step-by-step explanation:

ka

The area of the school is about 827 m² less than the area of the museum.

What is area?

Area is the amount of area occupied by an object's flat (2-D) surface or shape.

Given:

Sammy finds satellite images of a school and a museum. They put the images on a coordinate grid (shown below).

School coordinate values are in meters.

To find the area of the school:

The school is rectangular.

Area of the rectangle = length x width

To find the length,

use distance formula.

We interpreted coordinates,

Fort length (-20, 20) and (-40, 80)

For width (-50, 10) and (80, -20)

Distance of length = √(60)²+(-20)² = 20√10

Distance of width = √(30)²+(10)² = 10√10

Area of the rectangle = length x width

Area of the rectangle = 20√10 x 10√10 = 2000 m²

The area of the museum is πr².

And r = 30

The area of the museum  =  π(30)². ≈ 2827 m².

Subtracting the area's = 827 m².

Therefore, the area of the school is about 827 m² less than the area of the museum.

To learn more about the area;

https://brainly.com/question/27683633

#SPJ2

Lydia would like to have cake and pizza at her party the cake will cost $23, each pizza cost $15.00 the total budget for the food at her party is $75 what are the number of pizzas she can get and what is the equation and define your variable

Answers

Answer:

20

Step-by-step explanation:

fw3f2f3sf a

David borrows $15,000 for a new car. He is
charged 6% simple interest per year. How much
interest is charged for 5 years?

Answers

Total interest paid would be $2,399.58.

-1.32+x=1
-1 -1

Not sure about this??

Answers

Answer:

x=2.32

Step-by-step explanation:

-1.32+x=1

add 1.32 to both sides

1.32 cancels itself out

so you are left with x=2.32

I totally need helppppppppp. Oh no im gonna faillllllll.
10 + 9
PLs send help


(I'll give brainliest if you answer right

Answers

Answer:

19 will be the answer.

Step-by-step explanation:

10+9=19

Answer:

19

Step-by-step explanation:

can i get brainiest

In a different game, the probability of correctly guessing which of 5 boxes contains a tennis ball is 1/5. About how many winners would be expected if 60 contestants play the game?

Answers

The answer would be 12

60/5 = 12

Answer:

12

Step-by-step explanation:

please help :( i don’t understand!
An engineer estimated the weight of a steel beam to be 150 pounds. The actual weight of the beam was 143 pounds.
Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.

absolute error = ? (pounds)
percent error = ? (%)

Answers

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Find the length of the third side. If necessary, round to the nearest tenth.
12
5

Answers

9514 1404 393

Answer:

  13

Step-by-step explanation:

The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...

  c² = 5² + 12²

  c² = 25 +144 = 169

  c = √169 = 13

The length of the third side is 13 units.

_____

Additional comment

The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.

convert 43 minutes to seconds​

Answers

It would be 2580 seconds

Answer:

2580 seconds

Step-by-step explanation:

There are 60 seconds in 1 minute, so you do 43 * 60 = 2580 seconds

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR FILES.

Answers

Answer:

??????

Step-by-step explanation:

Answer:

wow this is not 40 points there u get no help

Step-by-step explanation:

Solve for x. Plzz help me

Answers

Step-by-step explanation:

The diagram resembles a right angled triangle,

So, By Pythagoras theorem,

(11)²=(4)²+x²

= 121=16+x²

= 121-16=x²

= 105=x²

= root105 =x

help me for 20 points

Answers

Answer:

Im not so sure about the answers that i picked if you want to use them use them

Step-by-step explanation:

y=13-2x^2

y=x+7

2=y + x^5

The product of 9 and the sum of a number and 4.
PLease help

Answers

Answer:9*(n+4)

Step-by-step explanation:

Product means multiply

sum means add

We do the sum first

Let n be the unknown number

sum of a number and 4.

(n+4)

now do the product

9*(n+4)

Classify the following triangle. Check all that apply. 60° 8.4 4.2 30" 7.3 A. Acute B. Equilateral C. Obtuse D. Scalene E. Isosceles O F. Right​

Answers

The given triangle is a right triangle and a scalene triangle.

What is a scalene triangle?

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

It does not have equal sides. No equivalent angles exist. It lacks a symmetry line. No point symmetry exists. This triangle can have acute, obtuse, or right angles inside of it.

In the given triangle we see that one angle measure is 90 degrees thus, the triangle is a right triangle.

Also, all the sides of the triangle have different lengths. thus the triangle is also a scalene triangle.

Learn more about scalene triangle here:

https://brainly.com/question/26086362

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What is the solution of 4x + 10 = 30?
X =

If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)

Answers

HEY
so first you have to add the like terms so move 10 to the other side and if move numbers over the equal sign it changes

So it will become
4x= 30 - 10
Then subtract

It’s 4x=20

Then u have to remove the 4 so u divide both sides by 4

4x/4 = 20/4

4/4 is 1 but u don’t put the 1 if there is a X so it’s just x

X=20/4

Now u divide the 20 with 4
It’s 5

So
X=5

Hope it helps!

Emily bought a pack of pencils. Before she sharpened them, she measured one pencil and it was 0.22 m long When she sharpened one, she shaved off 1.2 cm. How many centimeters is her sharpened pencil?​

Answers

Answer:

20.8cm

Step-by-step explanation:

1 meter is 100cm

.022m is 22cm

22cm-1.2cm=20.8cm

Model with mathematics. Abbi has decided to
offer a 2-hour computer gaming party for her
students. She can rent the student center for $45
per hour, and she can have the technology team set
up a network for up to 10 computers for a total of
$200 for the evening. Compose function p(x) such
that x is the number of students and p(x) is the
price per student for her to break even on the cost.
Note any appropriate restrictions on the domain x.

Answers

Answer:

180,000

Step-by-step explanation:

You got to multiply all the numbers and then divide by 600 and then you het your anwser

A set of data is Normally distributed with a mean of 25 and a standard deviation of 5. What percent of values are between the z-values –0.4 and 0.6? Round to the nearest whole percent.

Use the z-table to answer the question.

9%
19%
38%
49%

Answers

Answer:

38%

Step-by-step explanation:

Answer:

38% is correct

ED2021

Can someone help me solve this one step equation

Answers

Answer:

b = -108

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] - 6 = \frac{b}{18} \\ cross \: multiply \\ b = - 6 \times 18 \\ b = - 108[/tex]

Hope it will help :)❤

a rectangle has an area of 140. length is 4 feet longer than the width. I need to find the length and the width

Answers

Answer:

140=(w+4)×w

140=w²+4w

w²+4w-140

w=10

l=w+4

l=14

(d) State any two(2) properties of a semiconductor material.​

Answers

Answer:

Semiconductors are somewhere in-between conductors and insulators. This means that they are specific when it comes to conducting electricity meaning that their conduction of electricity varies based on their condition at the time.

For instance, they can conduct electricity when heated.

Properties:

    1. Perfect insulator at Absolute Zero.

As mentioned above, semi conductors are better at conducting electricity when they are heated. At Absolute zero - the lowest temperature possible -  therefore, these materials would conduct absolutely no electricity thereby making them perfect insulators.

   2. More resistance than Conductors but less than Insulators

As mentioned above, they have properties in-between those of insulators and conductors. One of those is their resistance. They can resist more than conductors but less than insulators.

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