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
Pepsi [2]
3 years ago
10

What are the roots of the equation? x^2+24=−11x Enter your answers in the boxes.

Mathematics
2 answers:
docker41 [41]3 years ago
8 0
<span>The <u>correct answers</u> are:

x=-3 and x=-8.

Explanation<span>:

We can first write this in standard form, ax</span></span>²<span><span>+bx+c=0. To do this, we will add 11x to both sides:
x</span></span>²<span><span>+24+11x=-11x+11x
x</span></span>²<span><span>+11x+24=0.

Now we can factor this. Look for factors of c, 24, that sum to b, 11. Factors of 24 are:
1 and 24 (sum 25)
2 and 12 (sum 14)
3 and 8 (sum 11)
4 and 6 (sum 10).

The factors we need are 3 and 8, since they sum to 11. This gives us factored form:
(x+3)(x+8)=0.

Using the zero product property, we know that in order to have a product of 0, one or both of the factors must be 0. This means we have:
x+3=0 or x+8=0.

Solving the first equation:
x+3-3=0-3
x=-3.

Solving the second equation:
x+8-8=0-8
x=-8.</span></span>
kotegsom [21]3 years ago
4 0

Answer:

x_1 = -8

x_2 = -3

Step-by-step explanation:

Given the equation:

x^2+24 = -11x

Add 11x to both sides we have;

x^2+11x+24 = 0

Split the middle terms we have;

⇒x^2+8x+3x+24 = 0

⇒x(x+8)+3(x+8)= 0

⇒(x+8)(x+3)= 0

By zero product property we have;

x+8 = 0 and x+3= 0

⇒x = -8 and x = -3

Therefore, the roots of the given equations are:

x_1 = -8

x_2 = -3

You might be interested in
What is the solution to the system of equations? O (-6,-) O (-2, 6) O (6,2) O (-2,-6)​
damaskus [11]

Answer:

Option (1)

Step-by-step explanation:

System of equations is represented by two straight lines on a graph.

And solution of the system of equations is the point of intersection of these lines.

From the graph attached, two straight lines represent the system of equations.

And the point of intersection of these lines is the solution.

Therefore, solution of the system of equations will be (-6, -2).

Option (1) will be the correct option.

4 0
3 years ago
Read 2 more answers
A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many
Mumz [18]

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

7 0
3 years ago
Help me someone pleaseee
quester [9]
OOF that looks hard...
6 0
3 years ago
25 POINTS AND BRAINLIEST IF ANSWERED CORRECTLY!
vesna_86 [32]
X=-1 hope this helped!
3 0
3 years ago
Read 2 more answers
What is 6 cm and 7 mm converted to
Mama L [17]

Answer:

converted to what?

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • -2 and one third &gt; 2 and two third
    14·1 answer
  • Based upon market research, the Hawthone Company has determined that consumers are willing to purchase 121 units of their portab
    11·1 answer
  • Can someone help me please
    14·1 answer
  • in the first year there are 35 participants in the third year there were 57 participants. how many participants are predicted fo
    10·1 answer
  • Suppose you are researching the eating habits of people your age. What sampling method could you use to find the percent of stud
    13·1 answer
  • I need help to solve this multi step equation please give me the correct answer
    7·1 answer
  • What is the value of x for the triangle below? Step by step please
    7·1 answer
  • (show your work!) i only got an hour left for this :c
    5·2 answers
  • The area of circle can be expressed by the
    14·1 answer
  • There is 4/6 of a pizza left from dinner . Each person gets 1/6 of a pizza for lunch the next day . How many people eat the pizz
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!