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4 years ago

Please answer: what is the quotient? what is the remainder?

Mathematics

1 answer:

stepladder [879]4 years ago

3 0

Quotient : 5x + 8 Remainder : 14x2 + 5x + 11

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Use vieta's theorem to solve the problems.

Mnenie [13.5K]

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

6 0

2 years ago

9 - 3 divided by 1/3 + 1

jolli1 [7]

Answer:

its just 9

Step-by-step explanation:

Divide: 3 : 1 / 3 = 3 / 1 · 3 / 1 = 3 · 3 / 1 · 1 = 9 / 1 = 9 Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator,

6 0

3 years ago

Read 2 more answers

-3 ( -4 - 5x) = -18 i'll help with your questions :)))

maria [59]

Answer:

-15

Step-by-step explanation:

-3(-4-5x)= -18

12+15x= -18-12

15x= -30

x= -30÷15