-5 a root of the Quadraticequation n² - 8n-65 = o.What is the other root of theequation

Mathematics

1 answer:

musickatia [10]3 years ago

6 0

Answer:

Step-by-step explanation:

It is a quadratic equation meaning it has 2 factors and since one of it has root -5, the first factor is (n + 5),

So, we have (n + 5)(n + a) = n^2 + an + 5n + 5a

Thus, by comparison,

n^2 + (5 + a)n + 5a = n^2 - 8n - 65 = 0

5 + a = -8

5a = -65

a = -13

Thus, the other factor is (n -13) and root is 13

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Tamiku [17]

Answer:

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Step-by-step explanation:

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2 years ago

Divide the following polynomials, then place the answer in the proper location on the grid. Write answer in descending powers of

Varvara68 [4.7K]

Let's rewrite the given expression correctly:
(2y3 + 3y2 - 4y - 5) / (y + 1)
Dividing the expression between y + 1 we have:
2y2 + y - 5
We can check the result:
(2y2 + y - 5) * (y + 1)
= (2y3 + y2 - 5y + 2y2 + y - 5)
= (2y3 + 3y2 - 4y - 5)
Division OK.
Answer:
The result of the division is:
2y2 + y - 5

7 0

3 years ago

find the amount each contestant would carry if the total amount carried (5 cups) was redistributed equally among all the contest

Blizzard [7]

<u>Complete Question</u>

The line plot shows the amount of green ooze (in cup) carried by ten contestants. Find the amount each contestant would carry if the total amount carried (5 cups) was redistributed equally among all the contestants.

Answer:

1/2 Cup

Step-by-step explanation:

This is a Line Plot in which:

1/4 had two Xs
3/8 had two Xs
1/2 had two Xs
5/8 had three Xs
7/8 had one Xs

Total

$=(\frac{1}{4}X2) +(\frac{3}{8}X2) +(\frac{1}{2}X2) +(\frac{5}{8}X3) +(\frac{7}{8}X1) \\\\=\frac{2}{4} +\frac{6}{8} +1 +\frac{15}{8} +\frac{7}{8}\\\\$=5 Cups$