3x^2-8x+4=0 Solve quadratic equations by completing the square.

Answers

Answer 1

Answer:

x = ⅔ Or x = 2

Explanation:

3x² − 8x + 4 = 0

Factor left side of equation

(3x − 2)(x − 2) = 0

Set factors equal to 0

3x − 2 = 0 or x − 2 = 0

x = ⅔ or x = 2
Answer 2

Quadratic equations are a form of algebraic equations that can or cannot be factorized.

The value of x is 2  and 2/3

Quadratic equations come in the form: ax²+ bx + c = 0

Solution by completing the square for:

3x²− 8x + 4 = 0

a = 3 , a≠1 so  we divide through by 3

3x²/3 − 8x/3 +4/3 = 0/3

which gives us

x²− 8x/3 + 4/3 = 0

Subtract 4/3 from both sides

x²− 8x/3 + 4/3 - 4/3  = 0 - 4/3

 x² − 8x/3 = −4/3

Take half of the x term and square it  and  add the result to both sides

x² − 8x/3 + 16/9 = −4/3 + 16/9

Rewrite the perfect square on the left

(x − 4/3)² = −4/3 + 16/9

and combine terms on the right

(x − 4/3)²= 4/9

Take the square root of both sides

x − 4/3 = ±√4/9

Simplify  

x − 4/3 = ±2/3

Collect like terms

x = 4/3 ± 2/3

Solving for x

x = 4/3 + 2/3

x = 6/3

x = 2

Also:

x=4/3 − 2/3

which becomes

x = 2/3

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Related Questions

mickel and 4 friend bought a total of 95 raffle tickets if the ticket were dived equaly among themselves how many tickets did each person get?

Answers

Answer:

19

Step-by-step explanation:

5 people in total, divide equally from 95

Answer:

Step-by-step explanation:

95/4=23.75

Round 23.75 --> 24.00 raffle tickets each.

is root 2 /1 is a rational number?

Answers

Answer:

yes

Step-by-step explanation:

PLEASE HELPPPPPP!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

B is the correct answer for this

Answer:

Step-by-step explanation:

it's c

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

Answers

9514 1404 393

Answer:

  x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

__

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

  x° = 90° -70°

  x = 20

__

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

  x° = 180° -(180° -70°)/2 = 90° +70°/2

  x = 125

find the slope.make sure to reduce

Answers

Answer : Hallway - black shirt = girl ......

The Empire State Building in New York City is 1,454 feet tall. The observatory on the 86th floor is 404 feet from the top of the building. How high is the observatory above the ground?

Answers

Answer:

1,050 ft

Step-by-step explanation:

i need help can somebody help me thank you

Answers

Where’s the question?

help pls, Factor 25x-10xy i hop this is easy for you

Answers

Answer:

5x(5-2y)

Step-by-step explanation:

If this helped hen consider making my answer brainliest

Which set of ordered pairs represents a function
1) {(0,4)(2,4)(2,5)}
2){(6,0)(5,0)(4,0)}
3){(4,1)(6,2)(6,3)(5,0)}
4){(0,4)(1,4)(0,5)(1,5)}

And the other one I put a picture of but I don’t know if it worked lol

Answers

Question 2 is B and question 3 is “3”.

In both examples, the “x’s” are never repeated!! Each x is unique. As soon as you have two x values with DIFFERENT y values, it is no longer a function

PLEASE HELP ( I can mark if brainlest, no fake answers please)

Answers

Answer:

$80

Step-by-step explanation:

plug 40 into each equation for x

50+12(40)

simplify

50+480

simplify

530

10+15(40)

simplify

10+600

610

now subtract 530 from 610

610-530

80

A bridge is 3911.1 meters long. Which of the following best describes the length of the bridge in kilometers?

Answers

Answer:

3.9111 km

Explanation:

The length in kilometers is equal to the meters divided by 1,000. So, if you divide 3911.1 by 1,000 that equals 3.911. You move the decimal point to the left 3 times based on the number of zeros.

Determine whether the graphs of the given equations are parallel, perpendicular, or neither.
Y= -2x+3
2x+y=7
A. Parallel
B. Perpendicular
C. Neither

Answers

Answer:

A

Step-by-step explanation:

Because the have the same slope.

The second equation solving for y is:

Y= -2x+7.

Both equations have the same slope of -2

Answer:

Parallel  

Step-by-step explanation:

If lines have the same slope, then they are parallel. If lines have slopes that are opposite reciprocals of each other, then they are perpendicular. If neither one of those statements are true, then the answer is neither.

1) First, find the slope of the first equation. [tex]y = -2x + 3[/tex] is already in [tex]y = mx + b[/tex]  format, or slope-intercept form. The [tex]m[/tex], or the coefficient of the x term, represents the slope. Thus, by looking at the equation, -2 is the slope of [tex]y = -2x + 3[/tex].

2) Second, find the slope of the second equation. [tex]2x + y = 7[/tex] is in standard format, but we can change it to slope-intercept format by isolating the y like so (just subtract both sides by 2x):

[tex]2x + y = 7 \\y = -2x + 7[/tex]

Now that it is in slope-intercept form, we can look at the coefficient of the x term, or [tex]m[/tex], to find the slope. That number is -2, thus the slope of [tex]2x + y = 7[/tex] is -2.

3) We found out that the slopes of both equations are -2. Thus, since they share the same slope, the lines are parallel.

PLEASE HELP, I need this test done and something not failed. I dont understand.

Answers

Answer:

XVW and WVT

Step-by-step explanation:

Two angles are supplementary angles when the sum of their measures is equaled to 180 degrees.

180 degrees = a line.

YVZ and WVU are Vertical Angles

YVZ and ZVT are not straight lines together.

XVW and WVU are on the same straight line but you have to add UVT in order to get 180.  

XVW and WVT are the only ones that look like they can add up to 180 degrees.

XVW and WVT should be the answer, I really hope this helps!

Guys last question pls help

Answers

Answer:

y=-7x-9

Step-by-step explanation:

A sweater is on sale for 12% off. The sale price is $44.00. What is the original amount of the sweater?

Answers

Answer:  50 dollars

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

Work Shown:

x = original price

y = sale price

d = discount = amount saved

d = 12% of x = 0.12x

y = x - d = x - 0.12x = 0.88x

Note how 0.88 = 88%, and this represents the percentage you have to pay if you get 12% off.

We're told the sale price is y = 44, so this leads to...

y = 0.88x

44 = 0.88x

0.88x = 44

x = 44/0.88

x = 50

The original price was $50

---------------------

Check:

If the original price was $50, then the amount you save is 0.12*50 = 6 dollars, which is the discount.

The sale price is 50-6 = 44 dollars which matches up with what your teacher gave you. The answer is confirmed.

PLEASE HELP ASAP I can’t fail this

Answers

Answer:

-5,5

5,5

Step-by-step explanation:

What is the value of -2 1/6 -1 1/4 + 1 3/4

a. -1 2/3
b. -1 1/3
c. 2 1/3
d. 2 2/3

Answers

answer: a.) -1 2/3
explanation: -2 1/6 - 1 1/4= -13/6 - 5/4= -41/12 ; 1 3/4= 7/4 ; -41/12 + 7/4= -5/3 ; -5/3= -1 2/3

PLZ HELP ITS ALL MY POINTS

Answers

Answer:

30 cm

Step-by-step explanation:

Sorry if im wrong

Solve the equation.
1.5x + 6 = 18

Answers

X = 8

Hope this helps!!!
1.5x+6=18
Subtract 6
1.5x=12
Divided by 1.5
X=8

what is the definition of the word PER?​

Answers

Answer:

for each, by means of.

Step-by-step explanation:

For each

Or

By means of

solve by substitute. 9y+8=x. -2x+8y=-36​

Answers

Answer:

Let's solve for x.

9y+8=x

Step 1: Flip the equation.

x=9y+8

Answer:

x=9y+8

Let's solve for x.

−2x+8y=−36

Step 1: Add -8y to both sides.

−2x + 8y + −8y = −36 + −8y

−2x = −8y − 36

Step 2: Divide both sides by -2.

−2x  / −2  =  −8y − 36  / −2

x=4y + 18

Answer:

x=4y + 18

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

(26, 2)

x = 26

y = 2

Step-by-step explanation:

Given:

9y + 8 = x

-2x + 8y = -36

Substitute (9y + 8) for x in the second equation.

-2(9y + 8) + 8y = -36

Then distribute and solve.

-18y + (-16) + 8y = -36

Combine like terms.

-10y - 16 = -36

-10y = -20

y = 2

Solve for x by substituting the y value (2) into 9y + 8 = x.

9(2) + 8 = x

18 + 8 = x

x = 26

Therefore, the solution is (26, 2) in terms of (x, y).

5.-Exprese como fracciones ,lo siguiente: a) Los 4 meses del año b) Un día de la semana c) Las tres provincias de la región Costa ecuatoriana

Answers

Answer:

Step-by-step explanation:

Expresar lo siguiente como fracciones.

a) Los 4 meses del año

Hay 12 meses en un año. Entonces, la fracción de 4 meses de 12 meses en un año es:

= 4/12

= 1/3

b) Un día de la semana

Hay 7 días en una semana.

Así, la fracción de 1 día en una semana será:

= 1/7

c) Las tres provincias de la región Costa ecuatoriana

En la región de la Costa Ecuatoriana, hay cinco provincias presentes.

Ahora, la fracción de tres provincias del total de cinco provincias de la región de la Costa Ecuatoriana será:

= 3/5

12. The tomb of Gunbad-Kabud in Maragheh, Iran is the shape of a decagonal tower and has a side length of approximately 8 feet. Determine the distance from the center of the tomb to the outside wall.

Answers

Answer:

The distance would be 12.31073415. Rounded, 12.31

Step-by-step explanation:

First off, we know a decagon has 10 sides. Secondly, it is given that the total side length is 8 feet- split in half it's 4 and 4 (this will come into play in the formula). Next, we want to find the angle measure of one of the isosceles triangles. Thus, do 360/10 which gives 36. Then do 36/2 which equals 18. This is the angle measure we need. Now that we have the necessary information, we can set up the formula. Following SOHCAHTOA, we can see that we need to use the tangent to find the apothem since our opposite side length of 4 is given. Set up the equation like so: tan18 = 4/a. When plugged in and solved, the answer of 12.31073415 is received.

I hope that helped!

Find the total surface area of this triangular prism.
30 cm
18 cm
7 cm
24 cm

Answers

Answer:

696 cm because

Write the decimal as a percent.

0.0046 = %

Answers

Answer:

0.46%

Step-by-step explanation:

0.0046*100%= 0.46%

The decimal of 0.0046=% is 46%

_____% of 145 = 75
48.3%
193.3%
76.5%
51.7%

Answers

Answer:

51.7%

Step-by-step explanation:  

P x 145 = 75

P = 75 / 145

P = .5172

P = 51.7%

Have a nice day! <3

7. Determine the type and number of solutions of -4x2 – 3x+7= 0
one real solution and one imaginary solution
O one real solution
O two real solutions
two imaginary solutions

Answers

Two real solutions: plug into quadratic formula and X= -1 or 1.75

I buy a T.V for 10,000 and sell it at profit of 20%. how much do I get​

Answers

Answer:

12,000

Step-by-step explanation:

Cost Price of T.V. = Rs. 10000

Profit percent = 20%

Profit = Profit% of C.P.

= 20 divided by 100 multiply by 1000

= Rs 2000

Selling price = C.P. + Profit

= 10000 + 2000 = 12000

Hence, the answer is Rs. 12,000 on selling the T.V.

Hope this helps you!

what is the answer?

Answers

Answer:

Step-by-step explanation:

4/5x<=2

x is less than or equal to 2.5

The school that Mary goes to is selling tickets to a fall musical. On the first day of ticket sales
the school sold 14 adult tickets and 12 child tickets for a total of $260. The school took in $210
on the second day by selling 7 adult tickets and 14 child tickets. What is the price each of one
adult ticket and one child ticket?
A) adult ticket: $9, child ticket: $14 B) adult ticket: S10, child ticket: $10
C) adult ticket: $14, child ticket: $12 D) adult ticket: $7, child ticket: $13

Answers

Answer:

c would be the answer

Step-by-step explanation:

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