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
A civil engineer is designing a public parking lot for the new town hall. The number of cars in each row should be six less than
alisha [4.7K]

The equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

<h3>How to determine the equation</h3>

Let the number of rows be x

Number of cars in each row = x - 6 = 56

Number of rows for parking lot = 2x

Then,

Number of cars for new parking lot = 2x ( x - 6 = 56)

Expand the expression,

2 ( x - 6 = 56)

2x² - 12x = 112

Thus, the equation which the civil engineer can use to find the number of rows is 2x² - 12x = 112. Option D

Learn more about word problems here:

brainly.com/question/1781657

#SPJ1

7 0
1 year ago
1. Which of the following coordinates for p will make line mn perpendicular to line op in the diagram below?
TiliK225 [7]
1. (3,2)....because when finding the slope, we find the the slope of mn and the slope of op are negative reciprocals.

2. y = 5x - 7.....slope here is 5....perpendicular line has a negative reciprocal slope...so the slope has to be -1/5

y= mx + b
slope(m) = -1/5
(-10,3)...x = -10 and y = 3
now we sub and find b, the y int
3 = -1/5(-10) + b
3 = 2 + b
3 - 2= b
1 = b
so ur perpendicular equation is : y = -1/5x + 1
5 0
3 years ago
)) Duncan had 15 stickers. He bought 13 stickers from a store in the mall and got 6 stickers
oksano4ka [1.4K]

Answer:

21

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A baker is making bread dough. He uses 3 cups of flour for every 8 ounces of water. How many cups of flour will he use if he use
Leni [432]

Answer:

36 cups of flour can be made.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
1. solve the proprotion k/5=5/125.
Marizza181 [45]
1. s<span>olve the proportion k/5=5/125.
First reduce 5/125.
5/125 = 1/25
Now you can cross multiply.
25k = 5
k = 5/25
k = 1/5
</span><span>d) 1/5

2. </span><span>round the answer of 0.4x-0.2=2.5 to two decimal places.
</span>0.4x=2.7
x = 6.75
<span>b) -6.75

3. </span><span>what is the y-intercept of 4x-3y=-12?
The y-intercept is when x = 0.
4(0) - 3y = -12
-3y = -12
y = 4
</span>d) 4
5 0
3 years ago
Other questions:
  • How do you do this simultaneous equation?
    13·1 answer
  • Of the students in Ms. Smiths class, 6 walk to school. This represents 30% of the students in her class. How many students are i
    11·2 answers
  • Does anybody know the answer ?
    14·1 answer
  • Bonita drove 8 miles from her home to the library, and then drove back.
    14·2 answers
  • Display the set of data in a histogram.
    5·1 answer
  • Anyone know the answer will give brainliest if correct.
    9·2 answers
  • Please help it’s urgent and need this done
    8·1 answer
  • In a school contest, each student draws a number from 1 to 5 out of a large basket. The outcomes are shown in the table below.
    15·2 answers
  • Write y = 2x + 8 in standard form.​
    8·1 answer
  • Write an equation for the line (4,7) and ( 1,1)2. Write an equation for the graph
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!