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
yKpoI14uk [10]
3 years ago
7

What number must you add to complete the square? x2 + 12x = 40

Mathematics
2 answers:
NeTakaya3 years ago
7 0

Answer:

36 should be added to make the left side a perfect square.

Step-by-step explanation:

We know that a^{2} +2ab+b^{2} =(a+b)^{2}

If we compare the first two terms of the left side with x^{2} +12x, we get,

a = x,

2ab = 12x

But since a = x,

2xb = 12x

Cancel x both sides and divide both sides by 2.

b = 6

So, b^{2} =6^{2} =36 should be added to the left side to make it a perfect square.

x^{2} +12x+36=40+36

(x+6)^{2} =76

Masja [62]3 years ago
6 0
X² + 12x = 40
x² + 12x + (6)² = 40 + (6)²
x² + 12x + 36 = 40 + 36
(x + 6)² = 76

Answer: 36 must be added to both sides to complete the square.
You might be interested in
(0.75)(5y)-y=8.25 how to solve this answer​
HACTEHA [7]

Answer: 3

Step-by-step explanation:

8 0
3 years ago
What decimal can be added to 0.0(54) to get 0.1(54)? (the parenthesis mean repeating)
son4ous [18]
Add 0.1 to 0.0(54) to get 0.1(54).
5 0
3 years ago
Read 2 more answers
A school has two kindergarten classes. There are 21 children in Ms. Toodle's kindergarten class. Of these, 17 are "pre-readers"�
k0ka [10]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
What is the value of 125 ⅔ ?​
horrorfan [7]

Answer:125.666

Step-by-step explanation:

8 0
2 years ago
an online media service offers video and music downloads. Each download of a song costs $1.2. Each download of a video costs 4 t
IceJOKER [234]
She can buy 26 songs after purchasing 10 videos
8 0
3 years ago
Read 2 more answers
Other questions:
  • What are the intercepts of y = 4x − 2
    6·1 answer
  • V-10=-3 solve the equation
    7·1 answer
  • Only number 8 plssss bet no one will get this
    10·1 answer
  • How many triangles can be constructed with angles measuring 25º, 25º, and 130º? A. one B.none C.more than one
    13·2 answers
  • Instructions: Select the correct answer from the drop-down menu.
    10·2 answers
  • Choose an appropriate data display for the distance a person hikes each week.
    7·2 answers
  • Match each equation with the correct property. 5 + 6 = 6 + 5 2(5 + 6) = 2(5) + 2(6) (3 x 5) x 6 = 3 x (5 x 6) 5 x 6 = 6 x 5
    13·2 answers
  • Solving systems of equations by substitution y=4x and 6x-4y=-10
    11·1 answer
  • Factor completely<br> 12n^3 + 15n^2 + 4n + 5
    8·1 answer
  • Help please im not good at math
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!