How do I complete the square for 4x^2+ 8x-5= 0?

Answers

Answer 1

Answer:

man I have no idea dude I don't really know squares if you're talking about square root I really don't know

Answer 2

Answer:

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

Step-by-step explanation:

This is not so fun!

[tex]4x^{2} + 8x - 5 = 0\\[/tex]

Step 1:  Move the 5 to the right side

[tex]4x^{2} +8x = 5[/tex]

Step 2:  Divide thru by 4

[tex]x^{2} + 2x = \frac{5}{4}[/tex]

Step 3:  Divide 2 (from 2x)  by 2 and square the result and add that to both sides of the equation.

2/2 = 1    1 squared = 1

[tex]x^{2} + 2x + 1 = \frac{5}{4} +1 = \frac{9}{4}[/tex]

Step 4:  Factor the left side

[tex](x + 1)^{2} = \frac{9}{4}[/tex]

Step 5:   Take the square root of both sides

x + 1 = ±[tex]\sqrt{\frac{9}{4} }[/tex] =  ± [tex]\frac{3}{2}[/tex]

Step 6:   Move the 1 to the right side and add the results

x = -1 ± [tex]\frac{3}{2}[/tex] = -1 +  [tex]\frac{3}{2}[/tex]   or -1 -  [tex]\frac{3}{2}[/tex]

              = [tex]\frac{1}{2}[/tex]    or   -  [tex]\frac{5}{2}[/tex]

And bingo, you have the solutions by completing the square.  Lot of fun, huh.  


Related Questions

if there 5 people and 50 wing how many do everybody get in number

Answers

Answer:

then its answer is 10

Step-by-step explanation:

if there are 50 wings and 5 people then multiplying 5 into 10 is 50

Rob saves £500 in his bank account.
The bank pays 4% simple interest
per year.
a) How much interest will he have
earned after five years?
b) How much money will he have in
the bank after five years?

Answers

Answer:

step 1: =4% of £500

=20

=20 × 5 years

= 100

= £500 + £100

=£600 ....therefore Rob will have £600 in his bank account after years.


help worth 10 PTS!!

Find the area of the circle, given the square has an area of 144 cm2 (leave your answer in terms of ).
A)
127 cm?
B)
2471 cm2
C)
3671 cm2
D)
7271 cm2

Answers

C is the answer to this question explanation: Area of square = 144 cm2, which means each side is √144 = 12 cm

Since the circle is inscribed in the square, the diameter is 12, so the radius is 6cm.

Area of circle = πr2 = π * 62 = 36π cm2, which is your answer :)

Can I get help with this, please

Answers

Answer:

For F(x)=10x the chart should go,

(-2, 1/100)

(-1, 1/10)

(0, 1)

(1, 10)

(2, 100)

For F(x)=6x the chart should go,

(-2, 1/36)

(-1, 1/6)

(0, 1)

(1, 6)

(2, 36)

If this helped please give brainliest :)

Trevor needs a new bicycle tire.
His tire travels 565.2 inches during
5 tire rotations. What is the
circumference of the tire? What is
the diameter of his tire?

Answers

Answer:

560.2

Step-by-step explanation:

i  help you

Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place

Answers

Step-by-step explanation:

I think you have forgotten to attach the question.

Anyways....

In order to find the area of a circle use the formula:

π[tex]r^{2}[/tex]   Where r is the radius

For example the radius is 3cm. The area of the circle will be:

π × [tex]3^{2}[/tex]

Since you have taken pi as 3.142...

3.142 × [tex]3^{2}[/tex]

3.142  × 9

= 28.278

In order to find the answer to 1 decimal place, check the number next to the number right after the decimal. Is it a number greater than or equal to 5? then add +1 to the number.

= 28.3 [tex]cm^{2}[/tex]

Find the rate of change given the following solutions: (6, 2) and (1, 12).

Answers

Answer:

The rate of change is -2

Step-by-step explanation:

f(b)-f(a)     12-2              10

---------- = ------------  = -------- = -2

 b-a         1-6               -5

4-6-5 3-5-4 2-8-?

Ok, can somebody please help me.

You need to find ?. This is not math this is brain game and i can't solve it!!!!
please help

Answers

Answer:

345678

Step-by-step explanation:

a scientist produces zinc iodine. This is the method used:

1.weight 0.500 g of iodine 2.dissolve the iodine in ethanol

3.add the excess of zinc

4. stir the mixture until there's no further change

5. filter the excess zinc

6. evaporate off the ethanol

explain why the scientist adds excess zinc rather then excess iodine

If this not right or don’t help u ‍♀️ I tired .

The boxplot below displays the arm spans for 44
students.
Which of the following is the five-number summary for
the distribution of arm spans?
O 140, 160, 170, 180, 210
O 143, 162, 168, 180, 202
O 143, 165, 175, 185, 200
O 145, 158, 168, 182, 202
140 150 160 170 180 190 200 210
Arm Span (cm)

Answers

Answer: B.

Step-by-step explanation: I got it right on edg.

Chelsea earns $30 per day plus $5 for every sale that she makes at her job. On Thursday, she wants to earn at least $60.

Complete the steps below.

Answers

Inequality:
60=30+5x
-30. -30
30=5x
/. /
5. 5
6=X
Solution:6=x
Interpretation: subtract 30 from both sides. Then you are left with 30 on one side and on the other 5 divide both sides by 5 and then you have your answers.
Hope this helps please tell me if im right or wrong. :)

• Saphia is organising a conference.
People at the conference will sit at circular tables.
Each table has a diameter of 140 cm.
Each person needs 60 cm around the circumference of the table.
There are 12 of these tables in the conference room.
A total of 90 people will be at the conference.
Are there enough tables in the conference room?

Answers

Answer:

No

Step-by-step explanation:

what is x worth in 8(-6x + 14) = -128

Answers

Answer:

5

Step-by-step explanation:

Find the area of a circle in feet with the radius being 3'.

Answers

Answer:

28.27 ft²

Step-by-step explanation:

[tex]A=\pi r^2[/tex] where [tex]r[/tex] is the radius

Plug in 3 for the radius

[tex]A=\pi (3)^2\\A=9\pi[/tex]

[tex]A=28.27[/tex] (approximate answer when rounded to the nearest hundredth)

Therefore, the area of the circle is 28.27 ft².

I hope this helps!

Answer:

exact area: 9 ft²

approximate area: 28.3 ft²

Step-by-step explanation:

An area cannot be in feet. It must be in a square unit such as square feet.

A = r²

A = ()(3 ft)²

A = 9 ft²

A = 9(3.14159) ft^2 = 28.3 ft²

Answer:

exact area: 9 ft²

approximate area: 28.3 ft²

RECREATION An instructor at a swimming pool asked her students if they would be interested in a n advanced swimming course, and 60% stated that they would. Is the sample method valid? If so, suppose there are 870 pool members. How many peoplecan theinstructorexpecttotakethecourse?

Answers

She can expect 522 people to take the advanced course.

Can someone help ???????

Answers

Answer:

its  B

Step-by-step explanation:

Hope This helps

a cylinder has a base diameter of 10 inches and a height of 19 inches. what is it's volume in cubic inches, to the nearest tenths place? show all work and explain please !

Answers

Answer:

1492.26in

Step-by-step explanation:

You and your friend complete video game levels at the same rate. You complete 5 levels in 45 hours. How many levels does your friend complete in 9 hours? please help!!!

Answers

Answer:

Your friend complete 1 level per 9 hours.

You complete 5 levels in 45h so you get 1 lv per 9h 45/9=5

There are two children in the Patel family.
They are twins of the same age.
What is the range of their ages?

Answers

Answer:

range = highest - lowest

x - x = 0

Hope it helps

Please mark me as the brainliest

Thank you

If there are two children in the Patel family. They are twins of the same age. Then zero is  the range of their ages

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

There are two children in the Patel family.

They are twins of the same age.

Let x be the age of two children.

As they are twins so the age of children's is same.

The formula of range is highest minus lowest.

range = highest - lowest

Range=x - x

Range =0

Hence, the range of their ages is 0.

To learn more on Ratios click:

https://brainly.com/question/13419413

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SOMEBODY HELP PLEASEEE I DONT KNOW WHY THIS IS SUPPOSED TO BE 20+ CHARACTERS LONG BUT HERE IT IS

Answers

Answer:

20h + 20

Step-by-step explanation:

5(2h + 4) + 10h

1️⃣ Expand by distributing terms.

10h + 20 + 10h

2️⃣ Collect like terms.

(10h + 10h) + 20

3️⃣ Simplify.

20h + 20

Answer: 20h + 20

Done ✔

the answer is 20h+20

help ASAP ill mark brainliest

Answers

Answer:

The third one. A trend line does describe data patterns.

Don Pedro tenía una parcela de 10 hectareas, vendió la quinta parte y el resto lo dividió entre sus 4 hijos, cuantas hectareas recibió cada uno?

Answers

what do i need for u supposed to help them

There’s an option D on the bottom you just can’t see.

Someone please help with this question

Answers

Answer:

B. 25

Step-by-step explanation:

30 + 35 + 10 = 75

100 - 75 = 25

Answer:

it's B (25%) players play the woodwinds.

Step-by-step explanation:

35% + 10% + 30%= 75%

100% - 75%= 25%

SOMEONE PLEASE HELP WHATS 9x8x4??

Answers

Answer:

288

Step-by-step explanation:

Brainliest pls

Answer:

9X8X4= 288.

Break it down. 9X8=72. 72X4=288.

Step-by-step explanation:

Someone help and plz make sure it’s right

Answers

Answer:

a=40° hope I helped:)....

1. What is the product of 1/2x - 1/4 and 5x^2+6
show your work

Answers

Answer:

Step-by-step explanation:

First you would make the equation

(1/2x - 1/4)(5x^2 + 6)

afterwards you would multiply like normal binomials\

5/2x^3 + 3x - 5/4x^2 - 6/4

Then simplify

5/2x^3 - 5/4x^2 + 3x - 3/2

Remember to put them in order from the most roots to the least.

2 (3x - 5) + 4 = -18


Solve for 20 Points

Answers

Answer:

x = -2

Step-by-step explanation:

2(3x - 5) + 4 = -18

Distribute the 2

6x - 10 + 4 = -18

6x - 6 = -18

Add 6 to both sides

6x = -12

Divide both sides by 6

x = -2

Check:

2(3x - 5) + 4 = -18

substitute x = -2 into the original equation

2(3(-2) - 5) + 4 = -18

2(-6 - 5) + 4 = -18

2(-11) + 4 = -18

-22 + 4 = -18

-18 = -18

So x = -2 is true.

Answer:

x=-2

Step-by-step explanation:

2(3x-5)+4=-18

We move all terms to the left:

2(3x-5)+4-(-18)=0

We add all the numbers together, and all the variables

2(3x-5)+22=0

We multiply parentheses

6x-10+22=0

We add all the numbers together, and all the variables

6x+12=0

We move all terms containing x to the left, all other terms to the right

6x=-12

x=-12/6

x=-2

Determine whether the equation has one solution, no solution, or infinite solutions.
Explain your reasoning.
9x + 2 = -4(x + 6)

Answers

Answer:

x=4.4

Step-by-step explanation:

9x+2 = 4x+ 24

5x+2 = 24

5x = 22

5x/5 = 22/5

x=4.4

i got one solution scream at me if im wrong

The answer is x=-2 hope this is it


Explain what it means to have a negative change,
.

Answers

Answer:

This means that the rate of change of your position is negative and you have a negative velocity. A negative velocity does not mean that you are slowing down

Step-by-step explanation:

The meaning to have a negative change is, it is decreasing over time.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

We have to explain the meaning to have a negative change.

Hence, We get;

A positive rate of change means that the quantity you are measuring is increasing over time, and a negative rate of change means that it is decreasing over time.

Thus, The meaning to have a negative change is, it is decreasing over time.

Learn more about the mathematical expression visit:

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For each pair of pants, Pedro has 2 shirts. Which models show this relationship? Check all that apply.

Answers

Step-by-step explanation:

Given - For each pair of pants, Pedro has 2 shirts.

To find - Which models show this relationship?

Proof -

Let Pedro has total number of pair of pants = x

Now,

As given

For 1 pair of pants , Pedro has total number of shirts = 2

⇒For x pair of pants , total number of shirts = 2x

So, Total number of clothes Pedro has = x + 2x = 3x

Answer:it’s A and D

Hope this helped

A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of
the mark-up?

Answers

Answer:

$4.8

Step-by-step explanation:

$24×20/100=$4.8

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