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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

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MArishka [77]

well, rational = fractional, namely something you can write as a fraction, well, anything between -1 and -2 is just less than -1 so

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Ghella [55]
Shape 3 is the correct answer


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What is the square root of 49 multiplied by the square root of 9
fiasKO [112]
First we need to find the the answer to both the square root of 49 and 9.

The "square root" is a term referring to a number, multiplied by itself (x • x) would be = to your square root.

So for example: Square root of 16 = 4 because 4*4=16 

So lets get out numbers:

\sqrt{9} =3&#10;
\sqrt{49}=7

Now you multiply 3*7 (or 7*3) and you get 21.

Final answer: 21

7 0
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Read 2 more answers
Evaluate -2 x 2y , if x = -3 and y = -1. -12 -18 18 12
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Answer:

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Without adding in the additonal Numbers

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Step-by-step explanation:

<u><em>Im most likely way off so please, i am Not going to guarantee that this answer is correct </em></u>

<u><em>(This is the first time ive been unsure of my Answer so please take my warning into consideration) </em></u>

<u></u>

8 0
3 years ago
Drag a statement or reason to each box to complete the proof.
astra-53 [7]

Answer:

The answers of the proof are the following:

2. Division Property of Equality

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