1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
never [62]
3 years ago
9

Solve the following quadratic by completing the square. y = x2 – 8x + 5

Mathematics
2 answers:
4vir4ik [10]3 years ago
7 0

Answer:

x = 4  ± √11

Step-by-step explanation:

hello :

x²-8x+5=  x² -2(4 )(x)+5

 x²-8x+5=  x² -2(4 )(x)+5 =  ( x² -2(4 )(x) +4²) -4²+5

                                      = (x-4)²-11 .....(   completing the square )

    x²-8x+5= 0   means :      (x-4)²-11 = 0

      (x-4)²=11      but : 11 =   (√11)²  =  ( - √11)²

x-4 =√11   or    x-4 =  -√11

x = 4  ± √11                                                  

pashok25 [27]3 years ago
5 0

Answer:

x = 4 ± \sqrt{11}

Step-by-step explanation:

To solve the equation let y = 0 , that is

x² - 8x + 5 = 0 ( subtract 5 from both sides )

x² - 8x = - 5

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = - 5 + 16

(x - 4)² = 11 ( take the square root of both sides )

x - 4 = ± \sqrt{11} ( add 4 to both sides )

x = 4 ± \sqrt{11}

You might be interested in
A cell phone and phone case cost $110 in total. The cell phone costs $100 more
Olegator [25]

Answer:

Step-by-step explanation:

p + c = 110

p = c + 100

c + 100 + c = 110

2c + 100 = 110

2c = 110 - 100

2c = 10

c = 10/2

c = 5 .......cost of the phone case

p = c + 100

p = 5 + 100

p = 105 <=== cost of the phone

3 0
3 years ago
HELP ME ASAP
Soloha48 [4]

Answer:

An article explaining your ideas on how to best rescue endangered loggerhead turtle eggs

Step-by-step explanation:

In the problem and solution organization pattern, it is all about the ability to determine the problems affecting the organisation as well as proffer solutions on how to solve those problems. This would then lead to minimizing cost and maximizing profits. <em>The example above which is about ideas on how to rescue endangered loggerhead turtle eggs is following same pattern.</em>

8 0
3 years ago
What is the area of the composite figure?
german

Answer:

16 + 6pi cm

Step-by-step explanation:

We have a square of length 4 cm

A = s^2 = 4^2 = 16

We have 3 semi circles

with radius 2

A semi circle has an area of

1/2 pi r^2 = 1/2 pi (2)^2 = 1/2 (4pi) = 2pi

There are 3 of them

3 * 2 pi = 6pi

Add the areas together for the square and the semicircles

16 + 6pi

6 0
3 years ago
EASYYYYY PLEASE HELP!! SOS
V125BC [204]

Answer:

2n+6=20

-6 -6

2n=14

÷2 ÷2

n=7

7 0
3 years ago
Read 2 more answers
17. Solve the following:<br> x – 3y = 5<br> 5x – 2y = -1
Phantasy [73]

Answer:

(- 1, - 2 )

Step-by-step explanation:

Given the 2 equations

x - 3y = 5 → (1)

5x - 2y = - 1 → (2)

Rearrange (1) expressing x in terms of y by adding 3y to both sides

x = 5 + 3y → (3)

Substitute x = 5 + 3y in (2)

5(5 + 3y) - 2y = - 1 ← distribute left side

25 + 15y - 2y = - 1

25 + 13y = - 1 ( subtract 25 from both sides )

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in (3) for corresponding value of x

x = 5 + (3 × - 2) = 5 - 6 = - 1

Solution is (- 1, - 2 )

8 0
3 years ago
Other questions:
  • How many times is the image reflected in a 6-sided snowflake?
    13·1 answer
  • Which of these statements are true for two obtuse angles ?
    6·1 answer
  • What is the value of x <br><br>x=2.25<br>X= 11.25<br>x= 13<br>x= 22
    8·1 answer
  • Oceanside Bike Rental Shop charges 12 dollars plus 7 dollars an hour for renting a bike. Sandy paid 40
    6·1 answer
  • 1. A researcher is interested in studying whether or not listening to music while jogging makes people run faster. He thinks tha
    15·1 answer
  • 3y-6+7y-4y i need help
    14·2 answers
  • Will mark brainliest, please answer:)
    5·1 answer
  • If an 8 sided spinner has 2 one's, 2 two's, 2 three's, and 2 four's, what is the probability of spinning a 3?
    6·1 answer
  • Hey can you please prove that limn➡️∞ k➡️1 6(k^2)/(n^3) - (5k)/(n^2) + 4/n =7/2​
    8·1 answer
  • Blank hundreds is the same as 4 thousand
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!