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
Dvinal [7]
2 years ago
9

Use vieta's theorem to solve the problems.

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
6 0

Using Vieta's Theorem, it is found that c = 72.

<h3>What is the Vieta Theorem?</h3>
  • Suppose we have a quadratic equation, in the following format:

y = ax^2 + bx + c

  • The roots are p and q.

The Theorem states that:

p + q = -\frac{b}{a}

pq = \frac{c}{a}

In this problem, the polynomial is:

x^2 - 17x + c

Hence the coefficients are a = 1, b = -17.

Since the difference of the solutions is 1, we have that:

p - q = 1

p = 1 + q

Then, from the first equation of the Theorem:

p + q = -\frac{b}{a}

1 + q + q = 17

2q = 16

q = 8

p = 1 + q = 9

Now, from the second equation:

pq = \frac{c}{a}

72 = c

c = 72

To learn more about Vieta's Theorem, you can take a look at brainly.com/question/23509978

You might be interested in
How to figure a composite figure area
photoshop1234 [79]

Answer:

To find the area of a composite figure or other irregular-shaped figure, divide it into simple, nonoverlapping figures. Find the area of each simpler figure, and then add the areas together to find the total area of the composite figure.

Step-by-step explanation:

Did this help, do you need an example

8 0
2 years ago
Whats 49564 in expanded form
kow [346]
40,000 + 9,000 + 500 + 60 + 4.
4 0
3 years ago
I got a question saying 1 Billon times 43 Millon, how is anyone appost to know this
Law Incorporation [45]

1000000000 \times 43000000 = 43000000000000000

8 0
2 years ago
According to the dietary guidelines for Americans which of the following is important in order to maintain a healthy weight?
Margarita [4]
1.) B, as calories in needs to meet calories burned to maintain weight
2.) D, as it is the only choice that remotely prevents food-borne illness
3.) C, as salmon has high protein and healthy fats, while the rest of the foods listed are full of sugar, processed ingredients, or artificial sweeteners.
5 0
3 years ago
Erica wants to save $189 for a trip to an amusement park. She sets aside $14 of her allowance at the end of each week. How many
andrey2020 [161]

Answer:

48 weeks

Step-by-step explanation:

189 / 14 = 47.25

If she doesnt get the allowance until the end of the week then she can't have .25 of a week.

7 0
2 years ago
Other questions:
  • A patient is instructed to take three 50-mcg tablets of pergolide mesylate (Permax) daily. How many milligrams of the drug would
    14·1 answer
  • Ethan burns 659 calories when he runs for 1 hour. Suppose he runs for 5 houtse in one week. How many calories does Ethan burn in
    9·2 answers
  • Find the area of the shaded sector. Leave your answer in terms of π.
    8·2 answers
  • Solve 4d = 1/3a. 4/3b. 1/7c. 1/12d. 1/4
    13·1 answer
  • Please please help asap!!
    10·1 answer
  • A certain type of flashlight requires two type-D batteries, and the flashlight will work only if both its batteries have accepta
    5·1 answer
  • Please help with this its confusing somehow :(​
    10·1 answer
  • Evaluate 4y when y = 5
    9·1 answer
  • Write an equation of the line that passes through (-2, 3) and is arallel to the line y=2x-4
    8·1 answer
  • Do i give in to the munchies bro
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!