If using the method of completing the square to solve the quadratic equation
x2 - 6x – 34 = 0, which number would have to be added to "complete the
square"?

Answers

Answer 1

Answer:

9

Step-by-step explanation:

divide -6 by 2 then square the answer(-3)=9

Answer 2

The solution of x² - 6x – 34 = 0 by completing square method is

⇒x   = 3 ±√43

The given quadratic equation is

x² - 6x – 34 = 0,

We know that whole square formula

(p+q)² = p² + q² + 2pq

Now convert the given expression into this form

So adding 9 both sides

⇒  x² - 6x – 34 + 9 = 9

⇒         x² - 6x  + 9 = 43

⇒  x² - (2)(3)x  + 3² = 43

⇒                (x - 3)²  = 43

Taking square root both sides we get

⇒                (x - 3)   = ±√43

Add 3 both sides we get

⇒                       x   = 3 ±√43

Thus the solution of the given quadratic equation is

x   = 3 ±√43

To learn more about quadratic equation visit:

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Related Questions

In a school of 200 students, 90 students are in the marching band, 145 students are on sports teams and 75 students participate in both activities. How many students are involved in either band or sports?

A. 75
B. 160
C. 220
D. 230
E. 165

Answers

Answer:

c

Step-by-step explanation:

simplify in picture below

Answers

Answer:

11

Step-by-step explanation:

Use PEMDAS

11 make sure you use pemdas

How long does it take for a snail to crawl 84 inches

Answers

Answer:

Step-by-step explanation:

You are not authorized to post a reply. A snail is at the bottom of a well 30 feet deep. It crawls up 3 feet each day, but at night, it slips down 2 feet. How long does it take for the snail to crawl out the well? 28 days. On the last day he would have reached the top and escaped before sliding down that night.

Answer:

2.55 minutes it takes a snail to crawl 85 inches

i hope this helps you

Which of the following values are solutions to the inequality −6≤1+3x?

Answers

Answer:

what are the options? there are many possible answers

Is -90 a rational number help

Answers

Answer:

yes u can make it a fraction

Answer:

YES!

Explanation:

Rational numbers are all positive and negative numbers and can be written as a fraction.

Please help me I really need it..

Answers

Answer:

[tex]\frac{1}{8^{2} }[/tex]

Step-by-step explanation:

Literal equations are equations containing

Answers

Answer:

Literal equations, simply put, are equations containing two or more variables. Your goal is to solve for just one variable with respect to others

Step-by-step explanation:

literal literal equations are equations that contain more than one variable

Dina wrote the expression 65 + 45. Chung used the greatest common factor of those two numbers to write an equivalent expression. Which expression did Chung write?


5(13 + 9)

13(5 + 2)

5(13 + 3)

15(5 + 3)

Answers

The right answer is 13+3

Two shelters offers dog adoption twice a year ruff had 123 dogs adoption in january 196 fogs adoption in July barks had 78 dogs adoption in January and 135 adoption in July estimates the difference in the number of dogs adoption at each shelter that year

Answers

Answer:

106

Step-by-step explanation:

ruff

123 dogs adoption in january

196 dogs adoption in July

Total adoption for the year = 123 + 196

= 319 adoptions

barks

78 dogs adoption in January

135 adoption in July

Total s like adoption for the year = 78 + 135

= 213 adoptions

Difference in the number of dogs adoption at each shelter that year

= Ruff total adoption for the year - Bark's total adoption for the year

= 319 adoptions - 213 adoptions

= 106

The difference in the number of dogs adoption at each shelter that year is 106

Which expression correctly represents “ten times the difference of a number and six”?

Answers

Answer: 10(x-6)

Step-by-step explanation:

Answer:

10(n-6)

Step-by-step explanation:

answer this please please ​

Answers

Answer:

B = 3

Step-by-step explanation:

The answer has to be 3 because this is a 3-4-5 triangle. We can also you the Pythagorean theorem to solve for B.

a²+b²=c²

(4)²+b²=(5)²

16+b²=25

b²=9

√b=√9

b=3

if any of you know how to do this pls help :)))

Answers

Answer:

y=3/5,6

Step-by-step explanation:

Split the second term in 5{y}^{2}-33y+185y2−33y+18 into two terms.

5{y}^{2}-3y-30y+18=05y2−3y−30y+18=0

2

 

Factor out common terms in the first two terms, then in the last two terms.

y(5y-3)-6(5y-3)=0y(5y−3)−6(5y−3)=0

3

 

Factor out the common term 5y-35y−3.

(5y-3)(y-6)=0(5y−3)(y−6)=0

4

 

Solve for yy.

y=\frac{3}{5},6y=53,6

Answer:

y=3/5,6

Step-by-step explanation:

(5y-3)(y-6)=0

5y-3=0 y-6=0

y=3/5 y=6

Find all the values that make it true

Hope this helps! :)

your parents took your family out to dinner. your parents wanted to give the waiter a 15% tip. if the total amount of dinner was $42.00, what should be paid to the waiter as a tip

Answers

Answer:

6.3

Step-by-step explanation:

do 42.00 x 0.15

DONT DIVIDE

please help me i’m being timed

Answers

Answer:

top l) -4[tex]\frac{4}{5}[/tex]

top r)-7.5

bottom l) 1.5

bottom r)-2[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

Write an addition expression that equals 8. Use at least 1 zero pair (i think I’m just slow lol)

Answers

Answer:

8 use at least one zero That what they said in my math class I hope the answer right

Determine if -81.42 is rational or irrational. If it is rational, write the number as a ratio of two integers.​

Answers

Answer:

-81.42 is a rational number

Step-by-step explanation:

[tex] - 81.42 \\ \\ = - \frac{8142}{100} \\ \\ = - \frac{8142 \div 2}{100 \div 2} \\ \\ = - \frac{4071}{50} \\ \\[/tex]

Answer: It is a rational number.

A rational number is a number that can be represented as a fraction.

The fraction can be: [tex]- \frac{4071}{50}[/tex] because:

[tex]-\frac{81.42}{100}[/tex] ÷ 2 = [tex]\frac{40.71}{50}[/tex]

The answer is yes, it is rational.

1.) x, y, and x?

abcdefg

Answers

Answer:

x and y vertex is (-2,-9)

and the x-intercept(s): (1,0), (-5,0)

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

I dont really know

Step-by-step explanation:

Which value is irrational? −13.6¯¯¯ − 13. 6 ¯ 0 0 10−−√ 10 6.1357

Answers

Answer:

1. If the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational, and unequal, then the value of the discriminant is

2. Factored completely, the expression 16 tanθ - tan3θ is equivalent to

3. High school officials wanted to assess the need for a new diving board. They created a survey and distributed it to a large, diverse crowd at the State Swim Meet held at their school. Which characteristic of the survey is most likely to create a bias?

4. Which expression is equivalent to cos P cos 50 - sin P sin 50?

5. What is the product of the roots of the quadratic equation 2x2 - x = 4? 6. In which method of data collection does the researcher intentionally intervene to arrange for a comparison of results?

7. Which equation could be represented by the graph below?

8. The first four terms of the sequence with a1 = 40 and an = 3/4 an-1 are

9. Which diagram represents an angle of 7/4 pi; radians in standard position?

Step-by-step explanation:

Answer:

The one with the √

Step-by-step explanation:

If it has a √ it always means its irrational

Hope this helps!

Line segment AB has endpoints at B (2 , 4) and A (22 , 4). Find point C so that it is located 3/4 of the way from A to B.

Answers

Answer:

need points

Step-by-step explanation:

need points

It costs $11.50 to rent a canoe and $5.50 to use the canoe for an hour. You have $28. Write an equation that represents the number h of hours you can rent the canoe

Answers

Answer:

(28 - 11.5) ÷ 5.5

Step-by-step explanation:

So let's examine this question.

We have already payed $11.50 the rent the canoe, so we have $16.50. Divide that by $5.50, and you get 3. So, 3 hours.

Now for the expression.

You start out with $28. You subtract $11.50 from it because it is being used to rent the canoe. You then divide your answer by $5.50 to determine how many hours you can use the canoe for.

Hmm.

(28 - 11.5) ÷ 5.5 = h

(28 - 11.5) ÷ 5.5 = 3

Kennedi paid $288 for 4 nights at a hotel.

Answers

Answer:

$72 per night

Step-by-step explanation:

288/4

Kennedi paid 72 dollars a night :)

Write the fraction eight-fifths as an equivalent fraction with a numerator of 40

Answers

Answer:

40/25

Step-by-step explanation:

8*5=40

so you can also do 5*5=25 to get your denominator

your answer is 40/25 :)

Find the value of this triangle!

Answers

From what I understand, we need to find x, y, and z.

We can easily find x by knowing a triangle has 180°.

Add 72+86=158 and then subtract 180-158 which gets you 22.

Now we have x=22°.

To find y, we first must find z. We can find z using the vertical angles theorem. This means x and z and the same, so z=22°.

Now, we can now find y by adding 70 and 22 = 92.

Subtract 180-92=88°.

All values have been found!

x=22°

y=88°

z=22°

Which of the following is a solution of (x - 5)(x + 7) = 3x + 21
0
45
8
5

Answers

[tex](x - 5)(x + 7) = 3 x + 21[/tex]

[tex](x - 5)(x + 7) = 3(x + 7)[/tex]

[tex](x - 5)(x + 7) - 3(x + 7) = 0 \\ [/tex]

[tex](x + 7)(x - 5 - 3) = 0[/tex]

[tex](x + 7)(x - 8) = 0[/tex]

[tex]x + 7 = 0 \\ x = - 7[/tex]

Or

[tex]x - 8 = 0 \\ x = 8[/tex]


m_1=3x, m 2 = 4x, m 3 = 2x, find x.
10
20
30
40

Answers

Answer:

x=20

Step-by-step explanation:

3x+4x+2x = 180

9x =180

x = 20

note: brainliest would be appreciated.

Mario had 12 apples and gave away x apples. Luigi had 26 apples and gave away three times as many apples as Mario did. How many apples did Mario give away if they had the same number of apples left?​

Answers

Answer:

7 Apples

Step-by-step explanation:

For this question, we can write expressions for Maria's apples and Luigi's apples and form an equation as they end up with the same amount.

Mario starts with 12 apples but gives away x number. This means Mario's final amount of apples can be represented as: 12-x

Similarly Luigi starts with 26 and gives away 3 times the amount of Mario. So the number he gave away can be represented as: 3x (3 times the number Mario gave away). Therefore we can represent Luigi's final number as: 26-3x

Since they both end up with the same number of apples, we can put these expressions equal to each other in an equation to solve for x (the number of apples Mario gave away):

Mario             Luigi

12-x       =      26-3x

12-x=26-3x

Now we just need to move the unknowns to one side and the other terms to the other, combine and solve:

12-x-12=26-12-3x

-x=14-3x

-x+3x=14-3x+3x

2x=14

2x/2=14/2

x=7

Mario gave away 7 apples.

Hope this helped!

Write an equation for a line that is parallel to 9x + 3y = 8 and passes through the point (-1, -4).

Answers

Answer:

y = -3x - 7

Step-by-step explanation:

turn into slope-intercept form:

9x + 3y = 8: subtract 9x to isolate y

3y = -9x + 8: divide by three to isolate again

y = -3x + 8/3 (line): Substitute y and x and replace 8/3 with b

-4 = -3(-1) + b: distribute

-4 = 3 +b: isolate b by subtracting 3

-7 = b

Substitute for b in original equation

y = -3x - 7

Answer:

y=-3x-7

Step-by-step explanation:

First you need to change the equation to slope intercept form. so the equation becomes y=-3x+8/3. now you change it point slope, y-y1=m(x-x1), y--4=-3(x--1), which also becomes y+4=-3(x+1), now you multiply. -3 times x and 1 which makes the equation, y+4= -3x+-3, then subtract from each side since its a positive number. so now the equation y= -3x-7

HELP!
i picked the wrong answer and my reach won’t let me out the class until i get it right

Answers

Answer:

a

Step-by-step explanation:

A school has a square playground with each side
measuring 120 feet. A scale drawing of the playground uses the scale 1/2 inch equals 12 feet. What is the length of a side of the playground on
this scale drawing?

Answers

i think it’s c or d but i’m not completely sure so i’m so sorry if i’m wrong

PLEASE HELP ASAP 20 PTS

1. Name two vertical angles.
2. Name a linear pair with vertex B.
3. Name an angle not adjacent to, but complementary to ZFGC.
4. Name an angle adjacent and supplementary to ZDCB.
5. Write the statement All dogs have four feet in if-then form.

Answers

1. H and E i dont know the rest if I’m being completely honest but there’s the first one for you
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