All categories

3 years ago

-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

You might be interested in

The hypotenuse of a right triangle measures 18 cm and one of its legs measures 12 cm. Find the measure of the other leg. If nece

Serggg [28]

Answer:

16 cm

Step-by-step explanation:

A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.

Since this is a right triangle, use the pythagorean theorem to find the value for x.

let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.

The pythagorean theorem is: c^2 = a^2 + b^2.

18^2 = 7^2 + x^2324 = 49 +x^2

x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm

3 0

2 years ago

Read 2 more answers

Which property should Remus use to solve the equation below? 7 q = 49 division property of equality addition property of equalit

AysviL [449]

The division property of equality should Remus used to solve the given equation and this can be determined by using the given data.

Given :

Equation is $7q = 49$ .

The following steps can be used in order to determine the property that Remus use to solve the given equation:

Step 1 - Write the given equation.

$7q = 49$

Step 2 - The arithmetic operations can be used in order to evaluate the given equation.

Step 3 - Using the division property of equality the value of 'q' can be determined.

$q = \dfrac{49}{7}$

$q = 7$

Therefore, the correct option is A).

For more information, refer to the link given below:

brainly.com/question/11897796

6 0

2 years ago

Read 2 more answers

5th grade math, correct answer will be marked brainliest.

lina2011 [118]

Answer:

1.4 is the answer

Step-by-step explanation:

For every times 10 move the decimal point to the right.

3 0

3 years ago

Read 2 more answers

1) Refer back to Lesson 2, Part A. Assume that the average shoulder width of the people in the line was 1.325 feet. How long wou

igor_vitrenko [27]

Answer:

13,250,000 feet or 13.25 million feet

Step-by-step explanation:

Each person in the line has a shoulder width of 1.325 feet.

For each person, there is a width of 1.325 ft. There are 10 million people.

Since:

10 million = 10,000,000

The total length must be:

$1.325 * 10,000,000$

$1.325 * 10,000,000 = 13,250,000$

Answer: 13,250,000 feet or 13.25 million feet

4 0

3 years ago

Riley and Francesca both commute to work. Riley's commute on the train

makvit [3.9K]

36=-x+12
36-12=24

X=24

6 0

3 years ago

-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