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
Arte-miy333 [17]
3 years ago
9

Hi, I need help please!! Given that x=3 and x=-4 are the solution of the equation x2+ax+b=0, find the value of a and of b. Answe

r: a=1, b=-12. I don’t know how to get the answer. Please show your workings and explain. If you help me, I will give Brainliest Answer Award to you. The topic is simultaneous equations, algebra. This question is from a Grade 8 workbook.
Mathematics
2 answers:
Slav-nsk [51]3 years ago
5 0

Answer:

a = 1, b = - 12

Step-by-step explanation:

we know that x = 3 and x = - 4, so (x - 3) and (x + 4) must be the factors of the equation:

(x - 3)(x + 4)

x^2 + - 3x + 4x - 12

x^2 + x - 12

therefore a = 1 and b = - 12

olya-2409 [2.1K]3 years ago
4 0

Step-by-step explanation:

firstly substitute x=3 into x^{2} +ax+b=0

3^{2} +3a+b=0

9+3a+b = 0

          b = -3a-9

secondly substitute x=-4 into x^{2} +ax+b=0

(-4)^{2} +(-4)a+b=0

16-4a+b = 0

          b = 4a-16

combine the equations above,

-3a-9 = b = 4a-16

so -3a-9 = 4a-16

     7a = 7

       a = 1

then substitute a = 1 into b = 4a-16 or b = -3a-9 (both are ok)

b = 4(1)-16 = -12     or        b = -3(1)-9 = -12

You might be interested in
What volume of fluid does a patient receive in 12 hours with a fluid rate of 24 mL/hr?
Anit [1.1K]

Answer:

288ml

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
ILL MARKE BRAINLIEST IF YOU SHOW YOUR WORK
madam [21]
The function of the relationship above is y=5x+4
4 0
3 years ago
Jasmine Is organizing a carnival with games Booths she needs three volunteers per booth there are 16 booth if 62 people signed u
mr_godi [17]

14 volunteers will not be able to help.

Step-by-step explanation:

According to given statement;

One booth requires 3 Volunteers.

No. of booths = 16

Given number of volunteers = 62

We will multiply total number of booths with 3 to find the number of volunteers required.

Volunteers required = No. of booths x 3

Volunteers required = 16*3\\

Volunteers required = 48

Subtract the required volunteers from total volunteers;

62-48=14

14 volunteers will not be able to help.

Keywords: Subtraction, Multiplication.

Learn more about subtraction at:

  • brainly.com/question/1900154
  • brainly.com/question/1929680

#LearnwithBrainly

4 0
3 years ago
Patricia knows she can request a free copy of her credit report each year, but now that she's got the document, she's not sure w
kap26 [50]

Answer:

Macaron are the best

Step-by-step explanation:

3 0
3 years ago
Use the Distance Formula to find the distance to the nearest tenth between A(-7, -4) and B(-2, 0).
goldenfox [79]
A(-7,-4) B(-2,0)
√[(x'-x)^2+(y'-y)^2]
√(-2-(-7)^2+(0-(-4)^2
√(5^2)+(4^2)
√25+16
√41 

the distance is approximately 6.4 units
8 0
3 years ago
Other questions:
  • This year, a small business has a total revenue of $63, 500. If this is 27% more than their total revenue the previous year, wha
    15·2 answers
  • one estimate is that the population of the United States in the year 2050 will be 419,854,000. write that number in expanded for
    15·1 answer
  • Fredericka can make 65 percent of her shots from the free-throw line. If she shoots 75 times, how many shots can she expect to m
    7·1 answer
  • Teresa babysits for her neighbors . She charges $13 for the first hour and $10 for each additional hour. Write a rule for the to
    5·1 answer
  • PLEASE HELP MATH QUESTION
    6·1 answer
  • A train moves a constant speed and travels 6 miles in 4 minutes. What is its speed in miles per minute?
    9·1 answer
  • Reema bought pencils for school in August. She gave
    9·1 answer
  • Noah spins 2 spinners at the same time. Each spinner is numbered 1 through 4. If each spinner can land only in one of the number
    11·2 answers
  • + Extra points, and I will give BRAINLIEST to the first person to get this question right.
    12·1 answer
  • Help me please and thankyou
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!