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
arlik [135]
3 years ago
7

Solve the equation by completing the square.  ^x2- 12x = -28

Mathematics
2 answers:
vova2212 [387]3 years ago
5 0

Answer:

x = 6 + 2√2  and  x = 6 - 2√2

Step-by-step explanation:

Please write the " ^ " symbol between x and 2 here:  x^2 - 12x = -28.

Take half the coefficient of x; here that is -6.

Square this, obtaining 36.

Add 36 to, and then subtract 36 from, x^2 - 12x:  x^2 - 12x + 36 - 36.

Rewrite  x^2 - 12x + 36 as the square of a binomial:  (x - 6)^2.

Then rewrite  x^2 - 12x = -28  as (x - 6)^2 - 36 = -28.

Simplifying, (x - 6)^2 = 8.

Taking the square root of both sides, x - 6 = plus or minus 2√2.


Then the solutions are x = 6 + 2√2  and  x = 6 - 2√2

Olegator [25]3 years ago
3 0

x^2 -12 x = -28

(-12/2) ^ 2  =36

x^2 -12 x + 36 = -28 + 36

x^2 -12x + 36 = 8

(x-6)^2 = 8

take the square root of each side

x-6 = sqrt (8)    x-6 = -sqrt (8)  

you get a positive and a negative when taking                                                                 the square root

x= 6 + sqrt (8)  

x = 6 - sqrt (8)

sqrt (8) = 2 sqrt (2)

x= 6 + 2 sqrt (2)

x = 6 - 2 sqrt (2)

Answer:

x= 6 + 2 sqrt (2)

x = 6 - 2 sqrt (2)



You might be interested in
Can you factor the common factor out of this problem? 28b+14b^2+35b^3+7b^5
Ann [662]
This is the correct answer

7 0
3 years ago
Complete the equation so that it has infinitely many solutions <br>1/2(4-z)​
I am Lyosha [343]

Answer:

4 - z

 —---

   2  

Step-by-step explanation:

3 0
3 years ago
Why should you not choose a point on the line to find the direction of shading in an inequality?
PIT_PIT [208]

Answer:

Because we know for a fact that the line has a correct answer. Plus, if you choose a point on the line then it will not give you the visual side of which is correct and which is wrong.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A dog runs 100 meters in 30 seconds. How fast is he running
matrenka [14]

Answer:

3.33 m/s

Step-by-step explanation:

Distance divided by time = speed

100/30 = 3.33 m/s

6 0
2 years ago
If DM=35, what is the value of r? Where DG is r+5 and GM is 3r-14
AlekseyPX
R=17.5
DG=22.5
GM=38.5
8 0
2 years ago
Other questions:
  • (ar^b)^4=81r^24<br> where a and b are positive integers. <br> Work out a and b
    15·1 answer
  • There are 14 apples in a basket 6 of these apples are green what is the ratio of red apples to green apples
    9·2 answers
  • Is the square root of 96 rational or irrational
    12·1 answer
  • Answer the question answer question
    5·2 answers
  • Question 1 of 10
    14·2 answers
  • Write a linear equation in one variable for each of the following situations:
    9·1 answer
  • PLEASE HELP&lt;3
    5·1 answer
  • How do you account for current liabilities and long-term debt?
    14·1 answer
  • I need help with this pls very great full
    13·1 answer
  • A boat traveled north for 28 miles, then turned x° southwest and traveled for 25 miles before stopping. When it stopped, the boa
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!