What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve. x = ±2 and x = ±3 x = ±2i and x = ±3 x = ±2 and x = ±3i x = ±2i and x = ±3i

Answers

Answer 1

Answer:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4-5x^2-36=0[/tex]

Let's let u equal x² so:

[tex]u^2-5u-36=0[/tex]

Factor. We can use -9 and 4. So:

[tex]u^2+4u-9u-36=0[/tex]

From the first two terms, factor out a u.

From the last two terms, factor out a -9. So:

[tex]u(u+4)-9(u+4)=0[/tex]

Grouping:

[tex](u-9)(u+4)=0[/tex]

Zero Product Property:

[tex]u-9=0 \text{ or } u+4=0[/tex]

On the left, add 9. On the right, subtract 4:

[tex]u=9\text{ or } u=-4[/tex]

Substitute back u:

[tex]x^2=9\text{ or } x^2=-4[/tex]

Take the square root:

[tex]x=\pm 3\text{ or } x=\pm 2i[/tex]

And we're done!

Our answer is the Second option.

Answer 2

Answer:

B). x = ±2i and x = ±3

Step-by-step explanation:


Related Questions

Faith lost 2 1/2 pounds in 10 days. If
Faith lost the same amount of pounds each
day, how much weight did Faith lose per
day?
Please help me

Answers

Answer:

1/4 pound

Step-by-step explanation:

2 1/2 divided by 10

=

1/4

or

5/2 divided by 10

=

1/4

Answer: 1/4 lbs

Step-by-step explanation:

To find weight lost each day, you have to divide total weight lost 2 1/2 lbs by total number of days 10.

(2 1/2) / 10 = 5/2 * 1/0 = 1/4 lbs lost each day

x^4+x^2-20 needs to be factored

Answers

Answer:

x^4+x^2-20 factored

b=2

Step-by-step explanation:

(x+2)

(x-2)

(x^2+5)

A candy factory has 2 machines that make pieces of candy. Machine A makes 984 pieces of candy
every 6 hours. Machine B makes 1,296 pieces of candy every 8 hours.
Which statement best compares the machines?
Machine B makes candy faster than machine A because machine B made more candy.
Machine A makes candy faster than machine B because machine A took less time.
Machine B makes candy faster than machine A because machine B made more pieces of
candy per hour.
Machine A makes candy faster than machine B because machine A made more pieces of
candy per hour.

Answers

It would be D final answer there’s 2 machines for A so it’s easily over 1800+ candy therefore we can conclude that machine A is faster

Suppose the volume of a rectangular shopping cart basket is 12,090 cubic inches. If the length measures 31 inches and the width measures 19.5 inches, how high is the shopping cart basket?

Answers

Answer:

[tex]\boxed {\tt h=20\ inches}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be found using the following formula.

[tex]v=l*w*h[/tex]

We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.

[tex]v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in[/tex]

[tex]12,090 \ in^3= 31 \ in * 19.5 \ in * h[/tex]

Multiply 31 inches and 19.5 inches.

[tex]12,090 \ in^3= 604.5 \ in^2 * h[/tex]

We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}[/tex]

[tex]\frac{12,090 \ in^3}{604.5 \ in^2}=h[/tex]

[tex]20 \ in =h[/tex]

The height of the shopping basket is 20 inches.

Solve for x: 2x + 7 = -9 - 6x
(PLEASE HELP THIS IS FOR ALGEBRA AND ITS DUE AT IN 9 MINUETS)

Answers

Answer:

x=-2

Step-by-step explanation:

2x+7=-9-6x

add 6x on both sides

8x+7=-9

subtract 7 on both sides

8x=-16

x=-2

Answer:

x=-2

Step-by-step explanation:

Let me know if I need to explain but here is the answer cause i know you are in a rush.

Solve for s.
8-45 5+13

Answers

where is the s in here though

There are 160 deer on Manitow Island. The population of deer is growing by approximately 20% per year. Write an equation using decimal form that can be used to find the amount of years,y, it will take for there to be approximately 450 deer on the island.

Answers

I believe the equation would be
160+0.2y

Because 160 deer and you round the 20% into a decimal point.

1 over 14 to the power of negative 1

Answers

Answer:

14

Step-by-step explanation:

Answer:

1/14^-1 is the same as 14/1^1

thus the answer is 14

the rule used states that a over b power negative 1 is equivalent to b over a power one

An engine uses 2.25 gallons of gas per hour. How many gallons will it use in 3.2 hours?

Answers

Answer:

7.2 gallons

Step-by-step explanation:

2.25 x 3.2 = 7.2

Answer:

7.2

Step-by-step explanation: :>

What is the value of n in the proportion below?
4
12
ОООО

Answers

The value of N is 16 which means n=16.

Which expression is equivalent to pq ?

P + q

P - q

P/q

qp

Answers

Answer: qp



They are the same just change positions

Answer:

qp

Step-by-step explanation:

pq = p * q

In multiplication like this, the order doesn't matter:

5 * 3 = 15

3 * 5 = 15

2 * 9 = 18

9 * 2 = 18

Thus,

pq = p * q = q * p = qp

Answer: qp

5 -x -x = -1 what is x ?

Answers

Answer:

x=3

Step-by-step explanation:

[tex]5 - x - x = - 1 \\ 5 - 2x = - 1 \\ - 2x = - 1 - 5 \\ - 2x = - 6 \\ x = \frac{ - 6}{ - 2} \\ x = \frac{6}{2} \\ x = 3[/tex]

hope it helped you:)

Answer:

3

Step-by-step explanation:

5-2x=-1

-5__-5

____-6

-2

3

16
A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at
least $20. Solve an inequality that represents how much more you must spend to use the $5
coupon.
(1 Point)

Answers

Answer: The answer is m= ≥4.50

The required inequality is m ≥ 4.50

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, A shirt that you want to buy costs $15.50. You can use a $5 discount coupon if you spend at least $20.

Cost of the shirt = $15.50

you can use a $5 discount coupon if you spend at least $20

The question requires you to find how much more you need to spend to be able to use the $5 discount coupon

The shirt already cost $15.50

Total amount you need to spend = $20

Let the amount remaining = m

m ≥ $20 - 15.50

m ≥ $4.50

Hence, you need to spend $4.50 in order to be able to use the $5 discount coupon.

For more references on inequality, click;

https://brainly.com/question/11612965

#SPJ2

-x-2y-4z=-6
X-5y-2z=-2
2x-3y+2z=2

Answers

Answer:

[tex]\sqrt{2} or (1/2)[/tex]

Step-by-step explanation:

Pls help I don’t understand the question

Answers

Answer:It suggests that readers have fun exploring poetry

HOPE IT HELPS:)

A color printer prints 18 pages in 8 minutes.
How many minutes does it take per page?​

Answers

Answer:

2.25 pages per minute

Step-by-step explanation:

Step 1:

18 ÷ 8

Step 2:

2.25

Answer:

2.25 pages per minute

Hope This Helps :)

can anyone help? i’ll mark brainliest

Answers

|4x + 4| = 15

First, let's get rid of the absolute value signs to get the first solution.

4x + 4 = 15

Subtract 4 from both sides

4x = 11

Divide each side by 4

x = 11/4 or 2.75

Now, let's get the solution by changing 15 to -15.

4x + 4 = -15

Subtract 4 from both sides

4x = -19

Divide both sides by 4

x = -19/4 or -4.75

Simplify 6⁹ ÷ 6³ So I Need Alot OF help in online schol my teacher isnt really reactive with me too help

Answers

Answer:

[tex]6^6[/tex] (or 46656)

Step-by-step explanation:

[tex]6^9\div6^3=\frac{6^9}{6^3} =6^{9-3}=6^6[/tex] (or 46656)

Steps to solve:

6^9 / 6^3

~Apply rule

6^9-3

~Simplify

6^6

Best of Luck!

combining like terms with negative coefficients
4x+5y-6xy-7x-8y-9xy?

Answers

-3x-3y-15xy .............

I need help with this one

Answers

Answer:

look it up

Step-by-step explanation:

-2(-3)^3
-2(-3^3)
2 x 27
54
y=54

But I got undefined for the last one

1
=
Using two pieces of data from the table below, write the equation of a line in slope-intercept form.
-4
0
4
8
12
29
28
27
26
25
A. y = 4x - 28
B. y = - 4x + 28
OC. y= 3x-28
OD. y=x+28

Answers

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, 29) and (x₂, y₂ ) = (0, 28) ← 2 ordered pairs from the table

m = [tex]\frac{28-29}{0+4}[/tex] = - [tex]\frac{1}{4}[/tex]

The line crosses the y- axis at (0, 28 ) ⇒ c = 28

y = - [tex]\frac{1}{4}[/tex] x + 28 ← equation of line → D

a square patio has an area of 200 square ft. how long is each side of the patio to the nearest foot? please answer quickly! will give brainliest.

Answers

Answer:

100

Step-by-step explanation:

cause they its 100

Answer:

14 feet

Step-by-step explanation:

Use the square area formula, A = s², where s is the side length

Plug in the area and solve for s:

A = s²

200 = s²

14 = s

So, each side of the patio is 14 feet

1/3(1 - 1/4) to the second power?

Answers

Answer:

0.1875

Step-by-step explanation:

82161616-61 is the egagbwba

NEED HELP ASAP NO ROCKY !!!!!
Write the coordinates of the vertices after a translation 4 units left and 7 units down.
10+
1
А
B
Searts
-10
10
С
10
-10
A(-6,0) - AOC
BCO,O) - BO
C(-5, -1) - CC
Practice with our 100

Answers

Step-by-step explanation:

scan it u could have the answer in a flash

If you give me the right answer i will give you the brainlyest!!!!!!

Answers

Answer:

the graphed points are in the picture attached

They intersect at (-8,1)

It passes through the x-axis at (-10,0)

It passes through the y-axis at (0,5)

Step-by-step explanation:

:)

Answer:

its a blue line from one ten to anothor

Find the distance between the points with the coordinates shown.
(-8,5) and (7,-3)

Answers

Answer:

17

Step-by-step explanation:


Can someone help me with this please

Answers

Answer:

1

Step-by-step explanation:

[tex]11 {x}^{2} = 1 \times 11 \times x \times x \\ 4 {a}^{3} = 1 \times 2 \times 2 \times a\times a \times a \\ common \: factor = 1 \\ \therefore \: GCF \: of \: 11 {x}^{2} \: and \: 4 {a}^{2} = 1[/tex]

The angles in a triangle are in the ratio 1:2:3. Show that this triangle is a right-angled triangle. The hypotenuse of the triangle is 19 cm long. Calculate the length of the shortest side in the triangle

Answers

Answer:

see explanation

Step-by-step explanation:

(a)

Sum the parts of the ratio , 1 + 2 + 3 = 6 parts

Divide sum of angles in a triangle by 6 to find the value of one part of the ratio.

180° ÷ 6 = 30° ← value of 1 part of the ratio

2 parts = 2 × 30° = 60°

3 parts = 3 × 30° = 90°

Since there is an angle of 90° then the triangle is right.

(b)

The shortest side is the side opposite the smallest angle of 30°

Using the sine ratio and the exact value

sin30° = [tex]\frac{1}{2}[/tex] , then

sin30° = [tex]\frac{opp}{hyp}[/tex] = [tex]\frac{opp}{19}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2 opp = 19 ( divide both sides by 2 )

opp = 9,5

Shortest side in the triangle is 9.5 cm

Owen’s parents were planning a birthday party for him. They have $20.00 to spend on goodie bags. They need to buy 6 goodie bags at $2.49 each. Will Owen’s parents have enough money to buy all 6 goodie bags? I HAVE TO SHOW MY WORK

Answers

Answer:

Yes, they can buy all the bags.

Step-by-step explanation:

Owen's parents need to buy 6 bags for $2.49 each.

So, we need to calculate the total price:

$2.49 * 6 = $14.94

Since the bags cost $14.94, and Owen's parents have $20.00, they have enough money to buy all 6 bags. 14.94 < 20.00

Hope this helps!

Answer:

They will have enough money to spend on 6 goodie bags

Step-by-step explanation:

First, you need to mutiply $2.49 × 6 and then you get 14.94

then you need to subtract $20.00 - 14.94 to get $5.06

so your answer should be,  ¨Owen´s parents will have $5.06 left after spending $14.94 of their $20.00 on goodie bags¨

Which of the expressions is rational? 25 + 2 7 − 2 64 + 45

Answers

Answer:

All of the expressions

Step-by-step explanation:

A rational number is one that can be written as a ratio, or a number with a terminating decimal.

All of the expressions are whole numbers, so they are all rational.

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