x^2= 14x +11
------------

Answers

Answer 1

Answer:

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

Step-by-step explanation:

[tex]x^{2} =14x+11[/tex]

[tex]x^{2} -14x-11=0[/tex]

[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]

[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]

[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]

[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]

[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]

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

OAmalOHopeO

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

Answer 2

Answer:

Solution given:

x²=14x+11

keeping all term on same side

x²-14x-11=0

trying to make it a perfect square

x²-2*7*x+7²-7²-11=0

By using formula of (x-y)²=x²-2xy+y²we get

(x-7)²-60=0

keeping 60 in right side

(x-7)²=60

doing square root on both side

[tex]\frac{(x-7)²}=\sqrt{60}[/tex]

we get

x-7=[tex]\sqrt{5*3*2*2}[/tex]

x-7=±2[tex]\sqrt{15}[/tex]

So

x=7±2[tex]\sqrt{15}[/tex]

Either

x=7+2[tex]\sqrt{15}[/tex]

or

x=7-2[tex]\sqrt{15}[/tex]

Related Questions

-8x - (3x + 6 ) = 4 - x

Answers

Answer:

-1

Step-by-step explanation:

Remember PEMDAS! Start with distributing the parentheses -(3x+6) so you get -8x-3x-6=4-x and simplify. Then you get -11x-6=4-x and combine like terms which equals -10=10x. Simplify and you get -1.

The solution to the equation -8x - (3x + 6) = 4 - x is x = -1.

What is the solution to the equation?

Given the equation in the question:

-8x - (3x + 6 ) = 4 - x

To solve the equation -8x - (3x + 6) = 4 - x, simplify the equation by isolating all terms with variable x:

-8x - (3x + 6 ) = 4 - x

Distribute the negative sign inside the parentheses:

-8x - 3x - 6 = 4 - x

Combine like terms on both sides of the equation:

-11x - 6 = 4 - x

Add 6 to both sides:

-11x - 6 + 6 = 4 + 6 - x

-11x = 4 + 6 - x

-11x = 10 - x

Next, add x to both sides:

-11x + x = 10 - x + x

-10x = 10

Divide both sides of the equation by -10:

x = -10/10

x = -1

Therefore, the value of x is -1.

Learn more about equations here: brainly.com/question/14686792

#SPJ6

What is the factored form of the expression 3x^2 + 6x – 24

Answers

Answer:

(3)(x + 4)(x-2)

Step-by-step explanation:

3x^2 + 6x – 24

3(x^2 + 2x - 8)

(3)(x + 4)(x-2)

Answer:

3(x - 2)(x + 4).

Step-by-step explanation:

3x^2 + 6x – 24

= 3(x^2 + 2x - 8)

= 3(x - 2)(x + 4).

Which of the following rules describes the function graphed below?

Answers

Answer:

D

Step-by-step explanation:

Output = 3*input - 2. Observe the graph again

If you divide $65 in the ratio 6:7, what is the smaller part?
A. $13
O B. $26
C. $30
OD. $35

Answers

Answer:

$30

Step-by-step explanation:

Let the ratios be 6x and 7x

Then 65 = 6x + 7x

65 = 13x

x = 65/13

x=5

6x = 6 x 5 = $30

7x = 7 x 5 = $35

Answer From Gauth Math

the answer is $30!!!!!!!!!!

write as an inequality 9 is greater than or equal to w, and -7 is less than or equal to w

Answers

[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]

"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]

We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]

Final Answer: [tex]-7 \le w \le 9[/tex]

What is the value of the expression below when z=10z=10 and w=4w=4? 2z-3w 2z−3w

Answers

Answer:

8

Step-by-step explanation:

more details

2(10)-3(4)

20-12

8

(b) In a sale the original prices are reduced by 15%.
(i)
Calculate the sale price of a book that has an original price of $12

Answers

Answer: $10.20

Step-by-step explanation:

convert the percentage to a decimal: 0.15

multiply the decimal 0.15 by the original price, $12, to find the amount that it will be discounted by: $1.80

subtract the discount from the original price: $10.20

Answer:

$9

Step-by-step explanation:

reduced price=15%*$12

= 15/100*$12

= $3

Sale price=original price - reduced Price

=$12-$3

=$9

ncert maths class 10 solution 5.1 4

Answers

Can you attach a picture to your question?

I would love to help you out.

Answer:

Step-by-step explanation:

NCERT Solutions for Class 10 Maths Chapter 5 Arithmetic Progressions Ex 5.1

           where is question ??

solve the inequality
[tex] \frac{1}{3} x \: + 1 \geqslant \frac{1}{2} x + \frac{1}{4} (2 - x)[/tex]

Answers

Answer:

x >= -6

Step-by-step explanation:

Multiply:

(1/3)x + 1 >= (1/2)x + 1/2 - (-1/4)x

Combine like terms:

(1/3)x + 1 >= (1/4)x + 1/2

Move the x's on one side and the integers on another:

(1/3)x - (1/4)x >= 1/2 - 1

(1/12)x >= -1/2

x >= -6

I hope this helped! :D

6g+5 =-2(1+2g)
------------------

Answers

Answer:

g: -7/10 or -0.7

Step-by-step explanation:

[tex]6g+5=-2\left(1+2g\right)[/tex]

Apply the distributive law:-

[tex]-2\left(1+2g\right)[/tex]

[tex]=-2-4g[/tex]

[tex]6g+5=-2-4g[/tex]

Now, we´ll Subtract 5 from both sides :-

[tex]6g+5-5=-2-4g-5[/tex]

[tex]6g=-4g-7[/tex]

Add 4g to both sides :-

[tex]6g+4g=-4g-7+4g[/tex]

[tex]10g=-7[/tex]

Now, divide both sides by 10:-

[tex]\frac{10g}{10}=\frac{-7}{10}[/tex]

[tex]g=-\frac{7}{10}[/tex]

OAmalOHopeO

plss helppp!!

pls show how is it done

solve the equation :

x³ = 3x² + 3x - 1

Answers

Answer:

x³ = 3x² + 3x - 1x³-  3x² -  3x + 1 = 0(x³ + 1) - 3x(x + 1) = 0(x + 1)(x² - x + 1 - 3x) = 0(x + 1)(x² - 4x + 1) = 0(x + 1)(x² -4x + 4 - 3) = 0(x + 1)((x - 2)² - (√3)²) = 0(x + 1)(x - 2 + √3)(x - 2 - √3) = 0x = -1x = 2 - √3x = 2 + √3

Please teach me these question step by step. Thank you

Answers

Answer:

a. 499

Step-by-step explanation:

a. factors of 1000 are 1,2,4,5,8,10,20,25,40,50,100,125,200,250,500.

the largest one is 500 and the smallest one is 1. So 500 - 1 = 499.

help ASAP!!!
bensnsnana

Answers

Answer:

c

Step-by-step explanation:

plug in 6 or -6 into x. square it. get 36 -11 =25

Answer:

c/d(most likely d)

Step explanation:

f(x)=x^2-11

For f(x) to be <25 x^2-11 must be x^2-11 < 25

Number just greater than 25 is 26 so x^2-11<25

x^2-11<25

x^2<36

x<√36

Therefore, for x^2-11<25 x must be between +6 & -6

Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)

Max A = 15 - x^2 - x​

Answers

Answer:

not exactly sure what the question is but

if it is "what is the max that 15 - x^2 - x can be

then 2x-1 = 0 solves that

x = 1/2

Step-by-step explanation:

If l || m, classify the marked angle pair and give their relationship, then solve for x.

Answers

Answer:

14. x=16, 15. x=9

Step-by-step explanation:

14.

4x+4=7x-44 by alternate exterior angles

3x=48

x=16

15.

15x-26=12x+1 by alternate exterior angles

3x=27

x=9

x+5≤−4 solve for x

(uh bananas)

Answers

Answer:

x≤−9

Step-by-step explanation:

x+5≤−4

Subtract 5 from each side

x+5-5≤−4-5

x≤−9

Refer to picture
Need help on Q.8

Answers

Answer:

Rajan = 436.36 rupees and Kamal = 363.63 rupees

Step-by-step explanation:

Total ratio = 11/30

Amount to be shared = 800

Rajan = Individual ratio / Total ratio x the total amount to be shared

1/5 ÷11/30 × 800 = 436.36

Kamal = 1/6 ÷ 11/30 × 800 = 363.63

What is the slope of the line described by the equartion below?
y = -2x + 4
I need help.

Answers

Answer:

C. –2

Step-by-step explanation:

The slope is equal to the number multiplying the x

Answer:

C

Step-by-step explanation:

Compare the equation to the line intercept form of a line, y=mx+c. m here represents the slope of the line. So m=-2

Please help if possible its important!!​

Answers

Answer:

600 ft³

Step-by-step explanation:

Base area: B

Base is triangle

base = 12 ft and height = 5 ft

Area of triangle = B = [tex]\frac{1}{2}* \ base * \ height[/tex]

                                 [tex]= \frac{1}{2}*12 * 5\\\\= 6 * 5\\\\= 30 \ ft^{2}[/tex]

H = 20 ft

Volume = B * H

             = 30 * 20

             = 600 ft³

4.
Find the inverse of A if it has one, or state that the inverse does not exist.

Answers

Answer:

Hello,

[tex]\begin{bmatrix}\dfrac{-1}{5} &0\\\dfrac{-1}{10}&\dfrac{1}{4}\end{bmatrix}[/tex]

Step-by-step explanation:

See jointed file

The inverse of the matrix A is

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

What is a matrix?

A matrix is a set of numbers arranges in rows and columns such that it form a rectangular array.

We have,

[tex]A = \left[\begin{array}{cc}-5&0\\-2&4\end{array}\right][/tex]

The matrix A is a square matrix and its determinant is not zero.

So the inverse exist.

The inverse of matrix A.

We will change the rows into columns and columns into rows.

So,

[tex]A = \left[\begin{array}{cc}-5&-2\\0&4\end{array}\right][/tex]

Thus,

The inverse of the matrix A is given above.

Learn more about matrix here:

https://brainly.com/question/28180105

#SPJ2

please help me to solve this

Answers

Answer:

Step-by-step explanation:

a) 3x^2

b) (512)^-2/3=2^n

1/64=2^n

n=-6

The first one Is 3x^2

Given h ( x ) = 2 x − 1 h(x)=2x−1, find h ( − 1 ) h(−1).

Answers

Answer:

-3

Step-by-step explanation:

for this function you have to replace -1 were there's x in the function h(x)=2x-1

h(-1)=2(-1)-1

=-2-1

=-3

hope this helps

I need help ASAP!!Please explain how to do the problem

Answers

Answer:

[tex](x-2)^{2} + (y+3)^{2} = 16[/tex]

Step-by-step explanation:

3x - 28= 80
What is the value of x?
Cual es el valor de x?

Answers

Answer:

3x-28 = 80

3x = 108

x = 36

Let me know if this helps!

Can you help with number 9,10,12

Answers

for question 9 the answer will be in the photo

Please help!! Graph a line with a slope of 1/4 that contains the point (6,3).
Silly comments will the reported!!! Please explain if possible!!

Answers

Start at the point (6,3), from there, use rise over run. From the given point, rise up 1, and go right 4.

To get a before point, start at the given point (6,3). Move along the x axis backwards four, and down 1. (2,2)

A checking account is
overdrawn by $5, then a
$5 fee is charged. What
is the balance on the
account?
Ty for any help!!!

Answers

minus/negative ten dollars.

.eygywhwusjsi

Simplify.
2(x + 2) -x+3(-x-2) - (2x + 4)

Answers

Answer:

-4x - 6

Step-by-step explanation:

2(x + 2) - x + 3(-x-2) - (2x + 4)

=> 2x + 4 - x + -3x - 6 - 2x - 4

=> 2x - 2x - x - 3x + 4 - 6 - 4

=> -4x - 6

Tanisha has 7 less than 4 times as many
toy cars as Fernando. If Tanisha has 9
cars, how many toy cars does Fernando
have?
a. 2 toy cars
b. 4 toy cars
c. 8 toy cars
d. 29 toy cars

help!

Answers

Answer: D is my guess.

Step-by-step explanation:

If you multiply those two number and subtract it by tanisha that probably is your answer if I'm  incorrect I'm sorry hopefully this helped

What is the slope of the line?

Answers

What?

The slope can be found between two points by finding the change in values divided by the change in values.
Infinitely many solutions? (I’m pretty sure that’s what it’s called cuz it can be (1,1) (2,2) (3,3) and so on
Other Questions
We discussed that achondrites, stony-iron, and iron meteorites could all come from the same body. Give a possible scenario for what these meteorites have gone through over the past 4 billion years or so that explains this? Which among the following mixtures will show tyndal effect? i) copper sulphate solution ii) sand in water. iii) milk. iv) starch solution if something goes 4% per min how long will it tack to reach 100% Solve : p, q, s, t, w The Nepalese have the trend of working in foreign countries for long. What might be the benefits and drawbacks of brain drain? Point out three for each. How effectiveness of a small force is increased when action area of force isreduced? what is the HCF of 7 and 13 I am very confused on how to do this. Which core American value is at the center of the debates surrounding affirmative action programs? Equality of opportunity Integration Protection of individual rights Republicanism 100. I don't like the people who....(show) no interest in anything. A) show B) shows C) to show D) showing101. Mathematics.... to us by Mr. Them now.A) is teaching B) teaches C) are taught D) is being taught102. The news about the earthquake in Philippines...on radio several times so far.A) has already broadcast B) has already been broadcast C) will already broadcast D) already broadcast103. According to him, the United States..... an important part in preserving peace in the world.A) play B) plays C) to play D) playing104, Linguistics...... the study of the ways in which languages work. A) is B) are C) am D) be105. There.... different ways to do that work. A) is B) are C) am D) be106. The people in this town.... very friendly: A) is B) are C) am D) be112. The police.... the robber. A. were arrested B. has arrested C. have arrested D. was arresting A 10 oz bottle of shampoo cost $2.40 and a 12oz bottle cost $2.64 find the unit rate for each which bottle has the lower unit cost A change in an organism's body is a(n)A change in the environment is a(n)A. instinctive, learnedB. internal stimulus, external stimulusC. chemical signal, displayD. association, condition An effort of the steamboats popularity was that : A . Fewer your people travel by railB . Steam locomotives became less popular C . People began to build canals in the U.S & Europe D . More people began to travel between the U.S and Europe change this into passive voice eleming discovered the penicillin On calculating which of the following quantities , does the body have an effect in simple projectile motion? Which one is better project supreme or JD? What is the volume of a pyramid below?44 in^333in^322in^366in^3 list and explain genetic abnormalities The space between the canine and the first premolar in the lower jaw of some primates is a(n) Group of answer choices mandibular gap. alveolus. retrocanine space. diastema. You are a student in Danang city. You will describe your neighborhood for new students. You should say: 1/ Where to buy food2/ Where to buy furniture 3/ Where to get a bus to university4/ Where to send a package5/ How do you feel about Danang city?