2 years ago

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

Mathematics

1 answer:

musickatia [10]2 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

You might be interested in

QUESTION 11

notsponge [240]

Answer:

Step-by-step explanation:

3( 2 + 2 ) - 4

3( 4 ) - 4

12-4

3 0

2 years ago

What is 10+10 -20? help

natita [175]

It's 0 because 10+10 = 20 then subtract 20 and you get zero.

8 0

2 years ago

Read 2 more answers

When x = 5, the value of the expression –2(x – 10) is

nikitadnepr [17]

Answer:

The value of the expression at x=5 is 10

Step-by-step explanation:

The given expression is $-2(x-10)$

Let us simplify this expression.

Distribute -2 over the parentheses, we get

$-2x+20$

Now, substitute x = 5, we get

$-2(5)+20$

On simplifying, we get

$-10+20\\=10$

The value of the expression at x=5 is 10

8 0

3 years ago

Read 2 more answers

16x^2-16x=5 solve the equation by completing the square

Ivanshal [37]

This is your answer: x= -1/4 or x=5/4. Plze mark me brainiest:)

7 0

2 years ago

A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measu

forsale [732]

Use pythagorians theorem a^2 + b^2 = c^2. 4^+20^ = 20.40 feet. The ladder is 20.40 feet long.

6 0

2 years ago

Read 2 more answers

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

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