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
Verizon [17]
3 years ago
10

Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers

Mathematics
1 answer:
Bas_tet [7]3 years ago
5 0

You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
  • c is the multiplication of the roots.

So, for example, if we want an equation whose roots are 4 and -2, we have:

  • 4+(-2) = 4-2 = 2 \implies b = -2
  • 4 \cdot (-2) = -8 \implies c = -8

So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

  • \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4}
  • \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8}

And so the equation is

x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0

In order to have integer coefficients, you can multiply both sides of the equation by 8:

8x^2 - 10 + 3 = 0

You might be interested in
The sum of three consecutive odd integers is 81. what is the value of the largest integer?
RoseWind [281]

I don't know how your teacher chooses to solve this problem (or your text) but I do it this way.

Divide 81 by 3. You get 27.

Use 27 as your middle integer and go one odd integer up and down for the other 2.

25, 27, 29

the largest would be 29.

This works because 3 of the middle number equals 81, so the middle number plus a number 2 greater and a number 2 less would still be the same as adding 3 of the same number.

Check by adding the 3 numbers.

25 + 27 + 29 = 81

4 0
4 years ago
Read 2 more answers
There are seven cows in a pasture and five of those cows are red. What
timurjin [86]

Answer:

5/7

Step-by-step explanation:

Since we have 7 cows in total our denominator would be 7 for now. 5 of the cows are red, so 5/7. Since we can't simplify 5/7 that is our final answer.

Hope this helps!!

5 0
3 years ago
The radius of a cone is 2.5 cm, its slant height is 6.5 cm and its height is 6. How many cubic centimeters are in the volume of
balandron [24]

Answer:

V = 12.5π

Step-by-step explanation:

3 0
3 years ago
Two trains, Train A and Train B, simultaneously depart Station A and Station B. Station A and Station B are 252.5 miles apart fr
omeli [17]

-- The trains start moving at the same time.

-- The space between them is initially 252.5 miles.

-- They reduce the distance between them at the rate of (124.7+253.5)=378.2mph.

-- It will take them (252.5 / 378.2) = 0.6676 hour to meet.  

That's 40min 3.49sec .

-- After tooting and puffing toward each other for 8 minutes, they still have <em>32min 3.49sec</em> to go before they meet each other.  We're all hoping that they're on different tracks.  

4 0
3 years ago
Our number of the day is 47 make a list how many different ways make the number of day
vekshin1
47/100 and 47.00 are what I can think of.
5 0
3 years ago
Other questions:
  • PLEASE!!!!!!!!!!!!!HURRY!!!!!!!!!!!!!!!!!!!!!!!20 points!!!!!!!!!!!!!!!!!!!!!!1
    11·1 answer
  • What does 12−3/4(d+16)=−5 equal solve for d
    6·1 answer
  • Victor measured a circular lid and found d, the diameter, was 8 inches and C, the circumference was 25 inches. Which expression
    7·1 answer
  • Does anyone know how to do this​
    12·2 answers
  • A student ran 100 m dash in 15.4 seconds. What was the student speed in miles per hour
    14·1 answer
  • The answer to a multiplication problem is the ??
    12·2 answers
  • What is the sum of the interior angle in a kite
    11·1 answer
  • What is the approximate volume of the cylinder?
    14·1 answer
  • SOMEONE PLEASE HELP!!! I’LL MARK BRAINLIEST
    5·1 answer
  • Janie reached into her sock drawer without looking. If she has 10 loose white socks, 4 blue socks, 2 red socks, and 4 black sock
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!