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
eduard
3 years ago
7

I need help to solve this

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

Step-by-step explanation:

The catch is to put this into the quadratic and solve for a b and c in three equations.

x = 1

a(1)^2 + b(1) + c= 0            

a + b + c + 0                (1)

x = - 1

a(-1)^2 + b(-1) + c = 2

a - b + c = 2                 (2)

x = 2

a(2)^2 + b(2) + c = 8

4a + 2b + c = 8            (3)

===================

Add 1 and 2 together

a + b + c = 0

a - b + c = 2

2a + 2c = 2           Divide by 2

a + c = 1                       (4)  

=====================

Multiply (2) by 2

2a - 2b + 2c = 4          (5)

======================

Add (5) + (3)

2a - 2b + 2c = 4

4a + 2b + c = 8

6a + 3c = 12               (6)

=====================

Multiply (4) by 3

3a + 3c = 3                 (7)

===================

Subtract (7) from (6)

6a + 3c = 12

3a + 3c =  3

3a = 9                      Divide by 3

3a/3 = 9/3

a = 3

=============

Use (4) to find c

a + c = 1

3 + c = 1                  Subtract 3 from both sides

3-3 + c = 1-3

c = - 2

=================

Use 1 to find b

3 + b - 2 = 0          Combine 3 and -2

1 + b = 0                Subtract 1 from both sides

b = - 1              

====================

Answers

a = 3

b = - 1

c = - 2

You might be interested in
What is the product?<br><br> 2x(x – 4)
sashaice [31]

Keywords:

<em>Product, factors, polynomial, distributive property </em>

For this case we must find the product of two factors of a polynomial. To do this, we must apply the distributive property, which states: a (b + c) = ab + ac.

So:

2x (x - 4) = 2x * x-2x * 4\\2x (x - 4) = 2x ^ 2-8x

Thus, the product of 2x (x - 4) is: 2x ^ 2-8x

Answer:

The product of 2x (x - 4) is: 2x ^ 2-8x

6 0
3 years ago
Read 2 more answers
Question IS in PICTURE!!!!
julia-pushkina [17]
IQR= Q3-Q1

Airport 1
Q3 is 8
Q1 is 2

8-2= 6

Airport 1 IQR is 6

Airport 2
Q3 is 8
Q1 is 3

8-3= 5

Airport 2 IQR Is 5
8 0
3 years ago
Read 2 more answers
If i- -1, what is the value of ; 3? -1 O i 0 1 0 -
Whitepunk [10]
i=\sqrt[]{-1}\begin{gathered} i^2=(\sqrt[]{-1})^2 \\ i^2=-1 \end{gathered}\begin{gathered} i^3=i^2\times i \\ i^3=-1\times i \\ i^3=-i \end{gathered}

5 0
1 year ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Misha Larkins [42]

Answer:

divide the determine by 2 and your answer will match the radius

4 0
2 years ago
The number 46 comma 462 comma 555 46,462,555 rounded to the nearest million is  
Nataliya [291]
The nearest million is 46 million since if the number to the right of "nearest so and so" is less than 5, you round down but if it is 5 or more then you round up.
Hope this helps!
8 0
3 years ago
Other questions:
  • Show me the work and answer please
    7·1 answer
  • Help ASAP need an explanation
    13·1 answer
  • What is the exponential form of log5 9 = x?
    7·1 answer
  • Solve x + y = 5 using matrices. 2x – y = 1 I have the answer, x = 2 and y =3, how do I phrase this as a matrices? (2,3)?
    5·1 answer
  • Which of the following is an undefined term? <br> Angle <br> Line <br> Ray <br> Vertex
    12·2 answers
  • Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy
    7·1 answer
  • Please help!!!!!!!!!!! ​
    6·2 answers
  • A car is traveling at a steady speed. It travels 2 1/3 miles in 3 1/2 minutes, how far will it travel in 32 minutes?
    6·1 answer
  • Which expressions have a sum of -12 right answer only!!
    5·2 answers
  • It’s a test please help me
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!