x^2+1=0
What are the roots of this equation?
Thanks!

Answers

Answer 1
x² + 1 = 0

=> (x+1)² - 2x = 0

=> x+1 = √(2x)

or x - √(2x) + 1 = 0

Now take y=√x

So, the equation changes to

y² - y√2 + 1 = 0

By quadratic formula, we get:-

y = [√2 ± √(2–4)]/2

or √x = (√2 ± i√2)/2 or (1 ± i)/√2 [by cancelling the √2 in numerator and denominator and ‘i' is a imaginary number with value √(-1)]

or x = [(1 ± i)²]/2

So roots are [(1+i)²]/2 and [(1 - i)²]/2

Thus we got two roots but in complex plane. If you put this values in the formula for formation of quadratic equation, that is x²+(a+b)x - ab where a and b are roots of the equation, you will get the equation

x² + 1 = 0 back again
So it’s x=1 or x=-1

Answer 2

this is the answer for this question

X^2+1=0What Are The Roots Of This Equation?Thanks!

Related Questions

(3x-5) (7x+5) find x


Answers

Answer:

I

Step-by-step explanation:

3x-5+7x+5+90=180

x=9

i need help with geometry rotations

Answers

Answer:

Search it up on utube

Step-by-step explanation:

Cheddar Cheese

$3/1b

Swiss Cheese

$5/16

Keisha is catering a luncheon. She has

$30 to spend on a mixture of Cheddar

cheese and Swiss cheese. How many

pounds of cheese can Keisha get if she

buys only Cheddar cheese? Only Swiss

cheese? A mixture of both cheeses?

What linear equation in standard form can

she use to model the situation?

If she buys only Cheddar, and she spends all $30, she can buy

(Type an integer or a decimal.)

pounds.

Answers

Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30

simplify the expression -2d-3+8d

Answers

Answer:

6d-3

Step-by-step explanation:

whats the Estimate 646 + 738 and 646 + 738 also 356 + 467

Answers

Answer:

646+738=1380

356+467=820

Step-by-step explanation:

Answer:

1380

1380

820

Step-by-step explanation:

The cost of 4 pounds of bananas is $3.52. What is the constant of proportionality that relates the cost of dollars, y, to the number of pounds of bananas, x?

Answers

.88
3.52 divided by 4

I WILL GIVE BRAINLIEST. I NEED ANSWER ASAP.​

Answers

I believe it is C :)

Gumballs cost $0.50 each and jawbreakers cost 0.30 each bob has $3.00 to spend
Create an inequality that represents the number of gumballs and jawbreakers Bob can buy

Answers

Answer:

a0.50 + b0.30 ≤ $3.00

Step-by-step explanation:

From the question, we have:

Gumballs cost per unit = $0.50

Jawbreakers cost = $0.30

Total budget of Bob = $3.00

Let a represents the number of Gumballs Bob can buy.

Let b represents the number of jawbreakers Bob can buy.

Therefore, inequality that represents the number of gumballs and jawbreakers Bob can buy can be given as follows:

a0.50 + b0.30 ≤ $3.00

The inequality implies that total amount Bob can spend on both gumballs and jawbreakers can be less or equal to $3.00 but cannot be greater than $3.00.

Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangle PQR?

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

scale factor = [tex]\frac{PQ}{XY}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

That is the sides of Δ PQR are half those of Δ XYZ, thus

The perimeter of Δ PQR is half Δ XYZ, that is

perimeter of Δ PQR = [tex]\frac{1}{2}[/tex] × 20 = 10

Austin makes a
Commission of 20% on
his sales each week.
Last week, his sales
were $520. How much
was Austin's
Commission?

Answers

Answer:

104$

Step-by-step explanation:

520/10*2

Answer:

$104

Step-by-step explanation:

cool person said it so

The top view of a portion of streets in Buffalo, New York is shown. Williams Street runs parallel to Broadway Street and the angle where the Storage is located has a measure of 120 degrees.

Identify other businesses that occupy corners with an angle measure of 120 degrees. Select all that apply.

Answer Choices:


Auto Parts

Charity

Furniture

Pharmacy

Restaurant

Answers

Answer:

Auto Parts, Furniture and restaurant.

Step-by-step explanation:

if you add furniture and pharmacy or charity with restaurant, they equal 180. so the bigger one would be 120 as lines are parallel and this is a single straight line passing through.

simplify the expression: 8x + 13 - 3x + 9=

Answers

Answer:

5x + 22=

Step-by-step explanation:

8x+13-3x+9

Combine like terms.

8x-3x=5x

13+9=22

Piece it back together.

5x+22

And there you have it. Hope it helps! :3

What is 1 5/9 as a percent?

Answers

Answer:

1 and 55%

Step-by-step explanation:

Five divided by nine.

please help


Hello,

I will mark brainliest to the one who answers

my question right and who does not copy what

someone else answered No cussing and

or Inappropriate words to get marked brainliest


Thanks,

brownarietta8









P.s please tell me if my screen looks pink

Answers

Answer:

1. subtract 9 from z- z-9

2. add 9 and z - z+9

3. divide 9 by z - 9/z

4. multiply 9 by z - 9z

Step-by-step explanation:

Your welcome!

Brainliest Appreciated!

Answer:

Subtract 9 from z z-9

Add 9 and z   9+ z

divide 9 by z 9/z

multiply 9 by z 9z

P.S you screen is not pink  

Step-by-step explanation:

Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?​

Answers

Answer:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Or, in standard form:

[tex]f(x)=-4x^2-20x+56[/tex]

Step-by-step explanation:

We can use the factored form of a quadratic equation:

[tex]f(x)=a(x-p)(x-q)[/tex]

Where a is the leading coefficient and p and q are the zeros of the quadratic.

We know that the x-intercepts are at (2, 0) and (-7, 0).

So, let's substitute 2 for p and -7 for q. This yields:

[tex]f(x)=a(x-2)(x+7)[/tex]

Now, we need to determine a.

We know that it passes through the point (1, 32). In other words, if we substitute 1 for x, we should get 32 for f(x). Therefore:

[tex]32=a(1-2)(1+7)[/tex]

We can now solve for a. First, compute:

[tex]32=a(-1)(8)[/tex]

Multiply:

[tex]32=-8a[/tex]

Divide both sides by -8:

[tex]a=-4[/tex]

So, the value of a is -4.

Therefore, our entire equation is:

[tex]f(x)=-4(x-2)(x+7)[/tex]

Notes:

We can expand this into standard form:

[tex]f(x)=-4(x-2)(x+7) \\ f(x)=-4(x^2+5x-14) \\ f(x)=-4x^2-20x+56[/tex]

A tutor work with 3 students. The oldest student is 6 years oldder then the middle student, and the youngest student is 3 years younger than the middle student. The sum of the ages of the students is 30. How many years old is the youngest student

Answers

Answer:

9 years old.

Step-by-step explanation:

Since the ages of all of these students are being represented in relation to the middle student's age then we can create formulas for each student and then apply them to the formula for the sum of their ages and solve for the middle child's age (M) like so... (oldest child's age is represented by variable O and youngest child's age is represented by variable Y)

O = M + 6

Y = M - 3

30 = (M+6) + M + (M-3)  ... combine like terms

30 = 3M + 3  ... subtract 3 from both sides

27 = 3M  ... divide both sides by 3

9 = M

Now we know that the middle child is 9 years old.

On a number line ,4.1 would be located. choose all answers that make a true statement.

A. To the right of 4.5

B. between 5 and 6

C. to the left of 4.19

D. To the left of 4.4
Help me plz

Answers

Answer:

D

Step-by-step explanation:

D. To the left of 4.4.

The lower the number, the more left it will be, the higher the number, the more right it will be.

Can somebody plz answer all of them correct except number 7!!! Please thanks so much :) it’s my corrections :/
WILL MARK BRAINLIEST

Answers

i will help! i will also give you a tip.

Answer:

Number 8 is going to be 5/2

Number 9 is going to be 31/8

Number 10 is going to be 7/4

Number 11 is going to be 29/6

Number 12 is going to be 67/13

Step-by-step explanation:

Hope this helped

write down the factors of 18​

Answers

Answer:

Factors of 18 are 1, 2, 3, 6, 9, 18

What are the ratios of sine, cosine, and tangent for
angle Y?
sin(Y) = XZ; cos(Y) = Y? ; tan(Y) = YZ
XY
XZ
XY
sin(Y) = XY; cos(Y) = XZ; tan(Y) = YZ
XZ
XY
XZ
O sin(Y) = x7; COS(Y) = x7; tan(Y) = {Z
sin(Y) = YZ ; cos(Y) = XZ; tan(Y) = XZ
XY
XY
YZ

Answers

Answer:

C!!!!

Step-by-step explanation:

Answer: The answer is C

Step-by-step explanation:

Got it write on edge

The parabola with equation $y=ax^2+bx+c$ is graphed below:

(attached)

The zeros of the quadratic $ax^2 + bx + c$ are at $x=m$ and $x=n$, where $m>n$. What is $m-n$?

Answers

Answer:

[tex]m-n=2[/tex]

Step-by-step explanation:

Instead of using the standard form, we can use the vertex form of a quadratic equation:

[tex]f(x)=a(x-h)^2+k[/tex]

Where a is the leading coefficient, and (h, k) is our vertex.

Our vertex point is at (2, -4). So, let’s substitute 2 for h and -4 for k:

[tex]f(x)=a(x-2)^2-4[/tex]

Now, we need to determine a.

We know that it passes through the point (4, 12). So, when x is 4, y must be 12. In other words:

[tex]12=a((4)-2)^2-4[/tex]

Solve for a. Subtract within the parentheses:

[tex]12=a(2)^2-4[/tex]

Add 4 to both sides:

[tex]16=a(2)^2[/tex]

Square:

[tex]16=4a[/tex]

Solve:

[tex]a=4[/tex]

Thererfore, the value of a is 4.

So, our function is:

[tex]f(x)=4(x-2)^2-4[/tex]

Now, let’s find our roots. Set the equation to 0 and solve for x:

[tex]0=4(x-2)^2-4[/tex]

[tex]4=4(x-2)^2\\1=(x-2)^2\\x-2=\pm1 \\ x=2\pm1 \\ x=3\text{ or } 1[/tex]

So, our roots are 1 and 3.

The greater root is 3 and the lesser root is 1.

Therefore, m-n, where m>n, is 3-1 or 2.

Our final answer is 2.

Answer:

2

Step-by-step explanation:

Source: AOPS

PLEASE HELP!
In each pair of triangles, parts are congruent as marked. Which pair of triangles is congruent by ASA?

Answers

Answer:

The answer is 2nd one

2nd pair of triangle is congruent by ASA(angle side angle)

Answer:

2nd option is correct.

What is 325.623 rounded to the nearest tenth?

Answers

Answer:

325.6

Step-by-step explanation:

325.600 because the nearest tenth is the first number after the period so the answer is 325.600

Bryce grows a sunflower that contains 1,354 sunflower seeds. Six people share the harvested seeds. If they share the seeds equally, how many seeds will be left over?

Answers

Answer: 4 seeds will left over.

Step-by-step explanation:

Total sunflower seeds = 1354

Number of people shared sunflower  seeds equally = 6

By division operation,

Number of seeds each people will get = (Total sunflower  seeds) ÷ (Number of people shared seeds equally)

[tex]= (1354) \div (6)[/tex]

[tex]=225\dfrac{4}{6}[/tex]

Hence, each people will get 256 sunflower seeds and 4 seeds will left.

Find the sales tax. Then find the total cost of the item. Sales Tax Selling Price Rate of Sales Tax Sales Tax ​$80.00 6​% ​?

Answers

Answer:

sales Tax = 4.8

total cost = 84.8

Step-by-step explanation:

80.00 * 6%​ = 80.00 * 0.06​ = 4.8

Answer:

Sales tax: 4.80 Total costs: 84.80

Step-by-step explanation:

Price x sales tax rate = sales tax

80 x .06(6%) = 4.80

price + sales tax = total costs

80 + 4.80 = 84.80

pls help me yes you help

Answers

Answer:

C

Step-by-step explanation:

Answer:

C) A car can travel 80 miles on 2 gallons of gasoline.

Step-by-step explanation:

They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.

Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)

Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.

Simplified version of answer d: 40 miles/ 20 gallon of gasoline  (we know it is wrong because it doesn't match with the unit rate.)

Hope this helped you : )

Which point represents the approximate location of √23?
A) point A
B) point B
C) point C
D) point D

Answers

Answer:

A

Step-by-step explanation:

√23 is 4.795

So point A

plz help I'll give brainest

Answers

Answer:

B

Step-by-step explanation:

absolute value is 2½

hope it helped

Answer: B

Why?
The absolute value of a positive number is positive, the answer is 2 1/2

3. Given A(3,5), B(7, 10), C(0, 2), and D(1, a),
determine the value of a for which:
a) Line AB is parallel to line CD.
b) Line AB is perpendicular to line CD.
please help!! i’m failing grade 10 precal and i need this❤️ will give 15 points

Answers

Answer:

1)  if Line AB is parallel to line CD then value of a is: a=3

2) if Line AB is perpendicular to line CD then value of a is: a=1

Step-by-step explanation:

We are given A(3,5), B(7, 10), C(0, 2), and D(1, a) we need to find value of a for which:

We can use slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] to find value of a according to conditions given.

We are given:

[tex]x_1=3, y_1=5, x_2=7, y_2=10 \ for \ line \ AB \ and \\\x_1=0, y_1=2, x_2=1, y_2=a \ for \ line \ CD \[/tex]

a) Line AB is parallel to line CD.

When 2 lines are parallel there slope is same so, using this we can find value of a

[tex]Slope \ of \ line \ AB = Slope \ of \ line \ CD[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1}= \frac{y_2-y_1}{x_2-x_1}\\\frac{10-5}{7-3}=\frac{a-2}{1-0} \\\frac{5}{5}=\frac{a-2}{1}\\1=a-2\\a=1+2\\a=3[/tex]

So, if Line AB is parallel to line CD then value of a is: a=3

b) Line AB is perpendicular to line CD.

When 2 lines are perpendicular there slopes are opposite of each other so, using this we can find value of a

[tex]Slope \ of \ line \ AB =-\frac{1}{Slope \ of \ line \ CD}[/tex]

[tex]\frac{y_2-y_1}{x_2-x_1}=-\frac{1}{ \frac{y_2-y_1}{x_2-x_1}} \\\frac{y_2-y_1}{x_2-x_1}=-\frac{x_2-x_1}{y_2-y_1}\\\frac{10-5}{7-3}=-\frac{1-0}{a-2} \\\frac{5}{5}=-\frac{1}{a-2}\\1=-\frac{1}{a-2}\\a-2=-1\\a=-1+2\\a=1[/tex]

So, if Line AB is perpendicular to line CD then value of a is: a=1

Please helpppp meee

Answers

Answer:

the answer is 90° because you need to figure out the degree.

Step-by-step explanation:

2 and 3 equals to 6 .

That's how you got that.

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