Use square roots to solve the equation X^2= -64 over the complex numbers

Answers

Answer 1

Answer:

+/- 8i

Step-by-step explanation:

x^2 = -64

square root (x^2) = square root of (-64)

x =  +/- 8* the square root of (-1)

x = plus or minus 8i

Answer 2

The solution for the given quadratic equation are 8i and -8i.

The given quadratic equation is x²=-64.

What is the complex number?

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here, square root on both the sides of an equation

That is, x=√(-64)

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

= ±8i

Therefore, the solution for the given quadratic equation are 8i and -8i.

To learn more about the complex numbers visit:

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Related Questions

In(x - 2) – In(x + 2)

Answers

Answer:

i think it is in(x-2/2+2) the + on the bottom and the - on top as a fraction:) hope it helps

Step-by-step explanation:

3 yards 2 feet is how many inches

Answers

3 Yards and 2 Feet are 132 inches, you know why cause I’m built different

if a sample of 25 students is taken from a population of 179 students the population variance o^2, is the variance of how many students' heights

Answers

Answer: 179

Step-by-step explanation:

The population variance cannot be determined solely from a sample, but the sample variance can provide an estimate of it based on the data collected from the sample.

The population variance ) represents the variance of the entire population. In this case, the population consists of 179 students. However, if we take a sample of 25 students from this population, the variance of this sample is called the sample variance

The sample variance ) is used to estimate the population variance ). It is calculated using the following formula:

The population variance  cannot be determined solely from a sample, but the sample variance () can provide an estimate of it based on the data collected from the sample.

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is 1,569 divisible by 9

Answers

Answer:

Yes the answer is 179 remainder 3

Answer:

no

Step-by-step explanation:

hope this helped!

p.s it would be cool if you gave me brainliest.

What is the side lengths in square feet

Answers

Step-by-step explanation:

Since each side of a square is the same, it can simply be the length of one side squared. If a square has one side of 4 inches, the area would be 4 inches times 4 inches, or 16 square inches.

These shapes below are mathematically

Answers

Answer:

x=30

Step-by-step explanation:

they are conqruent,

the proportion is 2.5 as we can find that by 20/8

2.5 times 12 is 30

A number is divisible by 10 if and only if it is divisible by 2

true or false? plz helppp

Answers

Answer:

false

Step-by-step explanation:

What is the sum?
5 +3 +4 =

Answers

Answer:

12

Step-by-step explanation:

5+4 is 9, and nine plus three is twelve

Answer:

12

Step-by-step explanation:

Simple meths

1.
Only one-fourth of Earth’s surface is land, but land constitutes over 99% of the Earth’s actual mass. Which sphere of the Earth does this statement describe?

biosphere

lithosphere

atmosphere

hydrosphere

Answers

Answer:

Lithosphere.

Step-by-step explanation:

Lithosphere is known for being the Earth's sphere ehre all rocks and types of land are included. Therefore, if land constitutes over 99% of the Earth's actual mass, then the statement is refering to the Lithosphere.

In this question, you are asked to specify the sphere of the earth described in the sentence

The sphere of the earth described in the sentence is lithosphere.

Lithosphere is the sphere of the earth which consists of land.

Biosphere is the portion of the earth which constitutes lives. Living organisms live in this part of the earth.

Atmosphere consist of the gaseous part of the earth.

Hydrosphere is the portion of the earth that consist of water either fresh or salt water

Read more:

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Toss a thumbtack on a hard surface 50 times. How many times did it land with the point up? What is the approximate probability of landing up?

Answers

Answer:

25% because there is 4 side causing it to be 1/4 chance

Step-by-step explanation:

It is 50:50 cuz it might or it might not


A television with a price of $300 is to be purchased
with an initial payment of $60 and weekly payments
of $30. Which of the following equations can be used
to find the number of weekly payments, w, required
to complete the purchase, assuming there are no
taxes or fees?

Answers

Answer:

8 weeks

Step-by-step explanation:

300-60= 240

240/30= 8

a line passes trough the point { 0, -3/2} and has a slope of 1/2. what is the equation of the line?
* awnsers in the picture *

Answers

Solutions: x=1.

Hope this helps!

Question 7 of 10
If h(x) = (fºg)(x) and h(x) = Vx+5, find g(x) if f(x) = (x+2.
Answer here

Answers

Answer:

g(x) = x + 3

Step-by-step explanation:

A composite function is a function that is written inside another function which means substituting one function into another function.

Ex: (fоg)(x) is a composite function, where x of f(x) is substituted by g(x)

∵ h(x) = (fоg)(x)

∵ [tex]h(x)=\sqrt{x+5}[/tex]

∵ [tex]f(x)=\sqrt{x+2}[/tex]

→ Substitute x of f(x) by g(x)

∴  (fоg)(x) = [tex]\sqrt{g(x)+2}[/tex]

→ Equate (fоg)(x) by h(x)

∴ [tex]\sqrt{g(x)+2}=\sqrt{x+5}[/tex]

→ Cancel the roots from the two sides

∴ g(x) + 2 = x + 5

→ Subtract 2 from both sides

∴ g(x) + 2 - 2 = x + 5  - 2

g(x) = x + 3

What is the number of the parking space covered by the car?

Answers

Answer:

87

Step-by-step explanation:

flip the picture upside down.

what is the equivalent of 3-(-6)​

Answers

Answer:

3-(-6)​ = 9

Step-by-step explanation:

3-(-6) simplifies to 3 + 6.

We would have to distribute the outside negative into the inside to get rid of the parenthesis. Then, we would add.

[tex]3-(-6)\\\\-1 * -6 = 6\\\\3-(-6)=\boxed{3+6}=9[/tex]

Hope this helps.

Fill in the blanks below.
Find the slope of the line passing through the points (7,-5) and (7, -1).
slope:
Find the slope of the line passing through the points (-7, 6) and (-7,-6).
slope:

Answers

Answer:

1. infinity

2. infinity

y and z are whole numbers.
y< 70
Z<_60
Work out the largest possible value of y + z

Answers

Answer:

1

Step-by-step explanation:

URRRRRGGGGEEENNNNTTTTT!!!!!!

Answers

Step-by-step explanation:

Well you have to find two points on the line like points (0,2) and (2,-2)

Then you do y2-y1/x2-x1

You should be able to know what answer it is now!

Hope this helps <3

This is due in a few hours I WILL MARK BRAINLIEST
Find two numbers if their ratio is 9:11 and their difference is 6.
Answer: 33,27 or __,__. Find out what __ equals.
ANSWER THIS THEN 25 POINTS WILL BE WAITING FOR YOU

Answers

Answer:

y=6+27 y=33. Its one of these.

Step-by-step explanation:

The quotient of a number and 2 increased by 8 is -15

Answers


n/6 + 2 = 4
n/6 + 2 - 2 = 4 - 2
n/6 = 2
(n/6)6 = 2(6)
n = 12
x divided by 2+8=-15 is the answer

pls help! i’ll mark brainlest :)

Answers

Answer:

3,1. .........................

Answer:

I believe it is (0,4) I'm not sure though

Step-by-step explanation:

Help PLSSSSSSSSSSSSSSSSS extra points

Answers

Answer:

85 messages

Step-by-step explanation:

The system of equations for this is

35 + .10x

18 + .3x

where x = the number of text messages

Usually, you would use substitution or elimination to solve this problem. However, because the answer choices were given, you can just plug in the values.

When you plug in 85, or x = 85, you get 43.5 for both equations because

35 + .10(85) = 43.5     18 + .3(85) = 43.5

Therefore, the answer would be 85 messages becuase both plans will cost the same when you send 85 text messages!

:)

Eight friends divide seven bags of apples equally between them. Enter the division represented by this situation as a fraction.

Answers

Answer:

THERE

Step-by-step explanation:

Answer:

Step-by-step explanation:

let's name the bag of apples "[tex]x[/tex]"

they have 7 bags of apples: 7[tex]x[/tex]

then they need to divide it among 8 people: so each person gets [tex]\frac{7x}{5}[/tex] or [tex]\frac{3}{5} x[/tex]

Simplify. .
-(2x – Зу) + 5х + 2 – 3х + Зу + 2
А. 4
В. 4х + 4
С. 6y + 4
D. 4х + бу + 4
Please select the best answer from the choices provided
A
B
ОООО
С
D

Answers

Answer:

6y+4

Step-by-step explanation:

-(2x-3y) +5x +2 -3x +3y +2

(-2x -3x +5x) (3y +3y)  (2 +2)

0 +6y +4

6y +4

Please help
Write the equation of the line on the graph

Answers

Answer:

y = 3x

Step-by-step explanation:

There is a dot at (1,3)

The line also goes through (0,0)

The equation is of the form y = mx

b the y intercept is 0.

All we need to do is solve for m

when x = 1, y = 3

3 = m * 1

m = 3

Answer: y = 3x

Choose the comparison statement that is correct

Answers

Answer:

what r the options........

I need the options















So what is it lol

Question 4

In the number shown, one digit is underlined and one digit is circled.

20,000

Which statement about the circled digit is true?

F

Its value is 10 times greater than the value of the underlined digit.

G

Its value is the underlined digit - 10.

H

Its value is 70 times the value of the underlined digit.

J

Its value is the underlined digit = 70.

Answers

Answer:

Therefore, the correct option is: Its value is 1/10 the value of the underlined digit.

Note: The question is incomplete. The complete question is given below:

2. In the number shown, one digit is underlined and one digit is circled. Which statement about the circled digit is true?

Its value is 10 times greater than the value of the underlined digit.

Its value is 1/10 the value of the underlined digit.

Its value is 70 times the value of the underlined digit.

Its value is 1/70 the value of the underlined digit.

See attachment below for the number

Step-by-step explanation:

This problem is about the place value of whole numbers.

Step 1: Determining the place value of the numbers

The place value is the value of each digit in a number, be it a whole number or a decimal number.

The number shown is seventy seven thousand (77,000)

The place value of the underlined 7 is 7 ten thousands = 7 * 10000 = 70000

The place value of the circled 7 is 7 thousands = 7 * 1000 = 7000

Step 2: Comparing the numbers

Comparing the circled number and the underlined number:

7000/70000 = 1/10

Therefore, the correct option is: Its value is 1/10 the value of the underlined digit.

PLS HELP I CANT DO THIS

Answers

Answer:

The answer would be 5

Step-by-step explanation:

2x2x2=8

Lets use the other 5 since it is already given to us.

so 8x5=40

no we must get 200 with the 40

so 200/40=5

Thus the missing number will be 5

PLEASE MARK AS BRAINLIEST

Find the sum.

(-3.4k-7)+(3k+21)


Please and Thank You :)

Answers

Answer:

k=(n+3)/6

Step-by-step explanation:

algebra class but I think im wrong

Find the area under the standard normal curve that lies outside the interval between following two values. Round the answers to at least four decimal places. (a)Find the area under the standard normal curve that lies outside the interval between -1.43 and 1.34.

Answers

Answer:

A = 0,16644

Step-by-step explanation:

The area (A₁) under the bell shape curve, from the left tail up   to the point ( z score) 1,34  is:

For  z (score ) = 1,34       A₁ = 0,9099

The area A₂  from the left tail up to z = -1,43 is

A₂ = 0,07634

Area A₂ is inside area A₁, the area A₃ inside the points - 1,43 and 1,34 is

A₃ = A₁ - A₂

A₃ = 0,9099 - 0,07634

A₃ = 0,83356

Finally area outside the interval  - 1, 43 and  1,34 is A ( the area we were looking for) is

A = 1 - A₃

A = 1 - 0,83356

A = 0,16644

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