X^2-3x=7/4
Solve by completing the square

Answers

Answer 1

Answer:

Step-by-step explanation:

X^2-3x=7/4 should first be rewritten in standard form, which here would be:

x^2 - 3x - 7/4 = 0.

1.  Identify the coefficient of the x term and take half of that number:

    -3/2

2. square this result:  (-3/2)^2 = 9/4

3.  add this last result, 9/4, between the -3x term and the -7/4 term, and then      subtract it as shown:

     x^2 - 3x + 9/4 - 9/4 - 7/4 = 0

4.  Rewriting the first 3 terms as the square of a binomial, we get:

    (x - 3/2)^2  -  16/4 = 0, or    (x - 3/2)^2  =  16/4

5.  Take the square root of both sides, obtaining:

     x - 3/2 = ±√4/2 or ±√2

6.  Write out the two roots:  x = 3/2 + √2

     and                                   x = 3/2 - √2


Related Questions

Add fill in the blanks
I need help can y’all help me

Answers

Answer:

Step-by-step explanation:

11, 10 (first side)

10,7 (2 side)

Please help ASAP!!!
Two small planes leave Sacramento and LA, which are 380 miles apart, and travel toward each other. If one plane travel 30 miles per hour faster than the other plane and they meet in one hour, what are their respective speeds?
Thank you, thank you, thank you!!

Answers

Let the speed of the first plane be x then the speed of the second plane would be x + 30

The combined speed is x + x + 30 = 2x + 30

2x + 30 = 380

Subtract 30 from both sides

2x = 350

Divide both sides by 2

X = 175

The speed of the first plane was 175 miles per hour the speed of the second plane was 205 hour

If n/12 = 15/36 , then n= ___.
pls help me!

Answers

Answer: n=5

have an amazing day <3

n x ? = 15
12 x ? = 36

12 x 3 =36
15 / 3 = 5

N= 5

I don’t know how to do this, please explain :(

Answers

Answer:

1. Adjacent and formed a linear pair

2. Adjacent and formed a linear pair

3. Adjacent

4. Not adjacent

Step-by-step explanation:

In essence, adjacent angles are two angles side by side. Two adjacent angles can form a linear pair when they are created by two lines intersecting. So, in broad terms, they are adjacent on a flat plane (or a straight line), and together they make a 180° angle.

Read this carefully please!

Answers

Answer:

A. X=3

B. X=19/5

That the answer for your question.

Step-by-step explanation: Hope this help :D

5(x+1)=20, 5x+5=20, 5x=15, x=3
5x+1=20, 5x=19, X=19/5 or x=3.8
I wrote out the answer because I needed 20 characters

What is a 1/15 cup in cooking??

Answers

Answer: 1/5 cup with 2 tps

Step-by-step explanation:

2 3/10x-5/7y-4 5/6y-2 4/5x

Answers

Answer:

-21x+233y/42

Step-by-step explanation:

Answer:

poop

Step-by-step explanation:

poopx607

I need help if you answer correct I will give brainiest

Answers

Answer:

Opaque

Step-by-step explanation:

Translucent materials, like greaseproof paper and frosted glass, let some but not all light through. They scatter or diffuse the light. Most materials do not allow light through at all and these are called opaque. (The second question is light)

Answer:

opaque, Radiant

Step-by-step explanation:

Opaque can not be seen through and radiant is an energy that can travel through space.

Can someone please help!

Answers

Answer:

- 3+2x/x-3

Step-by-step explanation:

Help me. :) :) :) :)

Answers

Option D

...................

Answer:

A prism reflecting light in straight lines.

Step-by-step explanation:

Prisms don't focus light nor diffract. They reflect. I don't think prisms reflect light into wavelengths either. Also, as you can see the rays of light are reflecting in straight lines. Therefore, the prism is reflecting light in straight lines.

Alonzo and Miguel scored a total of 40 points in a basketball game. Miguel scored four more points than twice Alonzo's score. show many points did Miguel score?

Answers

Answer:

28

Step-by-step explanation:

A teenager can wash 2 tables per minute. Write an expression for how many tables they can wash in m minutes. *

Answers

Answer:

2m = x

x being the number of tables

Step-by-step explanation:

2 tables = 1 minute

x tables = m

(cross multiply)

2m = x

x being the number of tables

This right? If not help please

Answers

Answer:

a) 8

b) 10

c) 12

Step-by-step explanation:

C is 12 because tablets sold under 30 are the first 2 bars. 5 stores sold 9-19 and 7 store sold 20-30

Please help I have been stuck for a while

Answers

Answer: 6.3

c^2 = a^2 + b^2

c^2 = 2^2 + 6^2

c^2 = 4 + 36

c^2 = 40

c = 6.32455532

Can someone please help me find the area of the semicircle

Answers

Answer:

The area of each semicircle is (1/2)25(pi) for a total of 25pi.

is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.​

Answers

Answer:

yes it's

Step-by-step explanation:

it's a parallelogram because the opposite sides are parallel.

give me brainliest


SOMEONE HELP ME WITH THIS 4 problems plz i will give brainlist!!

Answers

Answer:

Sphere = 113.1

Triangular prism = 30

Rectangular prism = 726

Cone = 452.39

Step-by-step explanation:

have a nice day!

Which choices are equivalent to the expression below? Check all that apply.

Answers

Answer:

it is 8

Step-by-step explanation:

Answer:I just got 8 and 64 thats all I got not sure if its gonna be correct for the 64 but for 8 I'm positive about it.

Step-by-step explanation:

Si un capital de 6800 soles se presta a 12% anual, durante a años y 19 días, ¿Qué interés producirá?

Answers

El número de años no se da de forma exhaustiva. Usando un valor hipotético

Respuesta:

Por favor, consulte la explicación.

Explicación paso a paso:

Suponga que el número de años es igual a 1 año 19 días

Convertir en años; 19 días es igual a 19/365 = 0,0520547; por lo tanto, 1 + 0.0520547 = 1.0520547 años

Recuerde la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 6800 * 0,12 * 1,0520547

Intereses = 858,4766352

Por tanto, si el plazo es de 1 año 19 días; interés = 858.4766352

Si el número de años en el período es diferente, simplemente siga el mismo paso para convertir los días y sume al número exacto si los años se dan.

The committee mixes 16 liters of soda with 4 liters of fruit punch, how many liters of soda did they make her leader of fruit punch?

Answers

i don't know sorry.....................................

Answer:

16/4=4

4,,,,,,,,,,,,,,,,,,,,

Jason agreed to make 12 payments of $38.50 to buy a new T.V. SO far he has made 8 payment. How much more money does he owe?

Answers

Answer:

154$

Step-by-step explanation:

The school that Shawna goes to is selling tickets to a spring musical. On the first day of ticke sales the school sold 7 adult tickets and 7 student tickets for a total of $91. The school took ir $170 on the second day by selling 14 adult tickets and 12 student tickets. Find the price of an adult ticket and the price of a student ticket.​

Answers

Answer:

price of an adult ticket = a = $7

price of a student ticket = s = $6

Step-by-step explanation:

price of an adult ticket = a

price of a student ticket = s

7a + 7s = 91 (1)

14a + 12s = 170 (2)

Multiply (1) by 2

7a + 7s = 91 (1) × 2

14a + 14s = 182 (3)

14a + 12s = 170 (2)

Subtract (2) from (3) to eliminate x

14s - 12s = 182 - 170

2s = 12

s = 12/2

s = 6

Substitute s = 6 into (1)

7a + 7s = 91 (1)

7a + 7(6) = 91

7a + 42 = 91

7a = 91 - 42

7a = 49

a = 49/7

a = 7

price of an adult ticket = a = $7

price of a student ticket = s = $6

What is the area of the shaded part ? Take(π=22/7)

Answers

Answer:

Given:

radius of bigger half circle[R]=(7+7+14)/2=14cm

radius of smaller half circle [r]=14/2=7cm

Area of shaded region =1/2[πR² -πr²]

=1/2×22/7×[14²-7²]=231cm²

Area of shaded region=231cm²

Item 11
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)

Answers

Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher

A student can type 2 3 of a page in 1 5 hour. How many pages can the student type in an hour?
Need this asap

Answers

Answer:

2/15

Step-by-step explanation:

find a common denominator:

3, 6, 9, 12, 15

5, 10, 15

the common denominator is 15.

add by how many times you added 3 and 5.

3+4=7/15

do the same with 5 and subtract the answers:

7/15-5/15= 2/15

Answer:

2/15

Step-by-step explanation:

16-11-13-5-10 2-15-18 13-23 8-11-17 11-12 22-11-12-19 decode message

Answers

Answer:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Step-by-step explanation:

Given

See attachment for code key

Required

Decode

16-11-13-5-10

2-15-18

13-23

8-11-17

11-12

22-11-12-19

From the code key, we can see that each number represent the alphabet at that position;

To do this, we simply replace each number with the alphabet they represent.

So, we have:

16-11-13-5-10 => P-K-M-E-J

2-15-18 => B-O-R

13-23 = > M-W

8-11-17 => H-K-Q

11-12 => K-L

22-11-12-19 => V-K-L-S

Answer:

do you just need the letters or... cuz the letters dont spell anything

Step-by-step explanation:

Find the zeros of the expression

Answers

the answer is 4, -5, 3
The answer is B. 4,-5,3

A tax exempt employee benefit is usually more adavantages to the employee than a tax deferred benefit

Answers

Answer:

Step-by-step explanation:

Yes, it is, more or less. This is because with a tax-deferred account, tax savings are gotten when you make contributions, but when it then comes to a tax-exempt account, the withdrawals are instead free of tax during retirement.

In a tax-deferred account, you can make immediate tax deductions as much as the full amount of your intended contribution, but then, subsequent withdrawals from the same account will be taxed at the normal income rate.

On the other hand, tax-exempt accounts don't deliver a tax benefit, particularly when you contribute to the them, they provide tax benefits that comes much later

4 is 2% of what number

Answers

Answer:

200

Step-by-step explanation:

Step 1: If 2% of a number is 4, then what is 100% of that number? Setup the equation.

4

2%=Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get:

2Y = 4 x 100

2Y = 400

Y = 400

100 = 200

Solve for X pleaassee help

Answers

The answer is 1 because 20 times 1 plus 1 is 21.
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