Mathematics High School

HURRY I NEED HELP!!!!!
State the number of complex roots and the possible number of real and imaginary roots for each equation. Then find all roots, be sure to show all work!
(equations are in the image below)

HURRY I NEED HELP!!!!! State The Number Of Complex Roots And The Possible Number Of Real And Imaginary

Answers

Answer 1

Answer:

Both have 4 imaginary roots

Step-by-step explanation:

1)

(x^2 + 9)(x^2 + 6) = 0

1.

x^2 + 9 = 0x^2 = - 9x = ± √-9x = ± 3i

2.

x^2 + 6 = 0x^2 = -6x = ±√-6x = ± i√6

It has 4 imaginary roots and no real roots

2)

(x^2 + 7)(x^2 + 5) = 0

1.

x^2 + 7 = 0x^2 = -7x = ± √7x = ± i√7

2.

x^2 + 5 = 0x^2 = - 5x = ± √-5x = ± i√5

It has 4 imaginary roots and no real roots

Answer 2

#1

(x²+9)(x²+6)=0

First

x²=-9x=±3i

second

x²=-6x=±√6i

4complex roots

#2

(x²+7)(x²+5)=0

first

x²=-7x=±√7i

Second

x²=-5x=±√5i

4 complex roots

Related Questions

A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754​

Answers

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

What is the area of a rectangle with a length of x + 5
and a width of 4?

Answers

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is

Answers

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial

Answers

Answer: C. 5x^2-2x+4
all you need to do to figure this out is distribute the minus sign to the last part of the polynomial and then just combine the common factors in it.
hope this helps :)

If you can please help me with this question~ the question is the image :)

Answers

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

PLZ HELP ILL GIVE BRAINLY!!!1 NO LINKS!!!!!

Find the 9th term in the following arithmetic sequence: 17, 13, 9, 5,...

Hint: Write a formula to help you.

1st term+ common difference(desired term-1)

Answers

Answer:

the 9th term would be  -15

Step-by-step explanation:

Write the quadratic equation in standard form:
-7x+4=x^2

Answers

it would be x^2+7x-4, you just move everything to one side.

Answer:

x² + 7x - 4 = 0

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 ( a ≠ 0 )

Given

- 7x + 4 = x² ( subtract - 7x + 4 from both sides )

0 = x² + 7x - 4 , that is

x² + 7x - 4 = 0 ← in standard form

Find the nth term of the quadratic sequence

Answers

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

the corresponding side length of two similar polygons are 6cm and 15cm if the area of smaller polygon is 32cm^2 then what is the area of the larger triangle?​

Answers

The answer is 2/4 because you subtract because

The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior

Answers

Answer is d hope it helps

The piecewise defined function f(x) is graphed below. What is the value of f(5)?

Answers

Answer: Choice A.   f(5) = -1

================================================

Explanation:

Draw a vertical line through 5 on the x axis. This represents the equation x = 5. Notice that we intersect the blue line at (5,-1) which tells us that f(5) = -1. There's a closed point here, meaning that the point is included. This is in contrast to the open hole at (5,3) which is not part of the function. So be careful not to say that f(5) = 3 because that's not the case.

Answer:

i think it's f(5) - a wild guess

Step-by-step explanation:

PLEASE HELP ASAP!!

What is the solution to the inequality |2n+5|> 1?
A)-3> n > -2
B)2< n <3
C)n<-3 or n>-2
D)n< 2 or n> 3

Answers

The correct answer is C

Answer:

C, n < –3 or n > –2

Step-by-step explanation:

13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?

Answers

63 inches tall

Explanation: 60+3= 63

Answer:

63 inches tall.

Step-by-step explanation:

60 + 3 = 63.

Solve 7x+6<3(x - 2).

Answers

Answer:

x<−3

Step-by-step explanation:

hope this works

Does anyone know the Answer for this

Answers

y= -6, hope this helps

Answer:

The value of y when x = 8 is -8.

Step-by-step explanation:

y = 8 - 2x

y = 8 - 2*8

y = 8 - 16

y = -8

Have a nice day!

A parallelogram-shaped window is divided into two sections by a rectangular piece of wood. Find the total of the area of the surface.

The total area of the glass surface is _ square inches

Answers

answer: 288 sq in
explanation: subtract 4 from 22 because 4 in is the wood in the middle.
22 - 4 = 18
then you do l x w
18 x 16 = 288

In the figure GHF=EHD. Which statement it true brother CP CTC?
A) FH=HE
B) DH=HF
C) GH=HD
D) GF=HD

Answers

I DONT KNOW THIS IS SO HARD:(((

Answer: DH and HF correspond.

Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the diameter of the cylinder is

Answers

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators

Answers

Step-by-step explanation:

answer is in the image above

Which of the following is equivalent to 5sqrt 13^3

Answers

Answer: D) 13^(3/5)

Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.

1 of 5
True or false?
The following is a statistical hypothesis:
Smoking damages your health.
Explain your answer in the comment box.
B
A
T

Answers

Answer:

True

Step-by-step explanation:

Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.

* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs

Hope this helps :) Brainliest would be appreciated XD

what two numbers multiply to -78 and add to -7

Answers

546 Is The Answer

#KeepOnLearning

Answer:

13 and -6      or     6 and -13

Step-by-step explanation:

Use systems of equations

+3x-4x what is the answer for this equation

Answers

Answer:

[tex]-x[/tex]

Step-by-step explanation:

[tex]3x-4x = -1x[/tex]

Hope this helps

Find the value of x.

a
x = 104
b
x = 72.5
c
x = 166
d
x = 93.5

Answers

Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

Hope this help!!!

Have a nice day!!!

How many questions were on Victoria test

Answers

25!

(80/100)*x=20
x=25

100% Verified

Hope this helps! :)

Consider two unique parallel lines. What aspects of these two lines are the same? What aspects of these two lines would have to be different?

Answers

Their slopes would be the same but their positions or points ( if the lines were on a graph) would be different.

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not
8
7
6
15
4
1
3
2
1
-10-9
-7
-6
-5 -4
-3
-2 -1
1
2
3
4
5
6
28
9
10
-1
-2
-3
-4
17
-5
-6

Answers

Answer:

D- 456 is 3 2 7 4 = Ab

Step-by-step explanation:

y = 4 x − 1
y = − x + 4

Answers

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

identify one solution for this graph

Answers

Answer:

y>2/1+-4

Step-by-step explanation:

y> because it's shaded over and since it's not dashes it needs the underline

2/1 because it's goes to the left twice and up once

-4 because that's where it starts

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