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
Cerrena [4.2K]
3 years ago
14

What must be added to both sides in 4x² + 24x + 8 = 32 in order to complete the square?

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
6 0

Answer:

16

Step-by-step explanation:

To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).

Therefore, we would have to first make the coefficient of x² to be equal to 1.

4x² + 24x + 8 = 32

We would simplify the equation;

4x² + 24x = 32 - 8

4x² + 24x = 24

Divide all through by 4;

x² + 8x = 24

The value to be added = (8/2)² = 4² = 16

x² + 8x + 16 = 8 + 16

x² + 4x + 4x + 16 = 24

x(x + 4) + 4(x + 4) = 24

(x + 4)² = 24

Taking the square root of both sides;

x + 4 = ± 4.9

x = -4 ± 4.9

x = -4 + 4.9 = 0.9

or

x = -4 - 4.9 = - 8.9

<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>

You might be interested in
The equation f(x)=x−5 translated 4 units to the left is g(x)=
elixir [45]

The equation of the function g(x) is g(x) = x - 1

<h3>How to determine the equation of the function g(x)?</h3>

The given parameters are:

f(x) = x - 5

The above function f(x) is translated left by 4 units

So, we have

g(x) = f(x + 4)

This gives

f(x + 4) = x + 4- 5

Evaluate the sum

f(x + 4) = x - 1

So, we have:

g(x) = x - 1

Hence, the equation of the function g(x) is g(x) = x - 1

Read more about function transformation at:

brainly.com/question/10904859

#SPJ1

3 0
2 years ago
The​ world's largest university​ (by enrollment) is University​ A, followed by University B. If the enrollment in University A i
Sav [38]
Let x be the number of people at University B

x + (x+3.5) = 9.5
2x +3.5 = 9.5
2x = 6
x = 3 million students at University B

x + 3.5 = 3 + 3.5 = 6.5 million students at University A
8 0
3 years ago
Help on this please.
dem82 [27]

Answer:

x = 46°

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then

x + 134° = 180° ( subtract 134° from both sides )

x = 46°

8 0
2 years ago
8+7 (4 to the second power - 3)<br> How do I solve this, I’m trying to help my grandson with math
Montano1993 [528]

Answer:

99

Step-by-step explanation:

8 + 7(4^2 - 3)

Solve what’s in the parentheses first, starting with 4^2:

8 + 7(16 - 3)

Continue solving what’s in the parentheses:

8 + 7(13)

Considering the order of operations, multiply 7(13) before adding 8:

8 + 91 = 99

6 0
3 years ago
Please help me .......
Misha Larkins [42]
First we have to know the Pythagoreans theorem which is

a^2+b^2=c^2
7^2+8^2=c^2
49+64= 10.63
Hope this helps
3 0
3 years ago
Other questions:
  • Cody has $ 700 in a savings account that pays 4% simple interest .what is the amount of simple interest he will earn in 2 years
    7·1 answer
  • Which set(s) of points show x in DIRECT PROPORTION to y?
    7·2 answers
  • Select the correct answer.
    7·1 answer
  • Please help asap 30 pts
    9·1 answer
  • What is the reciprocal of 3^-2 ?​
    15·1 answer
  • Susan swims a race in 29 7/10 seconds.patty swims at the race in 33 1/5 seconds. How much faster was Susan than patty
    15·1 answer
  • How is Demoragan's law used in logic ?
    7·2 answers
  • A manufacturer produces cell phone she estimates that by selling them for x dollars she will be able to sell them for 285 minus
    10·1 answer
  • Answer urgent please!!
    5·1 answer
  • There are 250 wolves in a national park. the wolf population is increasing at a rate of 16% per year. write an exponential model
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!