1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
saveliy_v [14]
3 years ago
13

For what real value of $v$ is $\frac{-21-\sqrt{301}}{10}$ a root of $5x^2+21x+v$?

Mathematics
1 answer:
Degger [83]3 years ago
6 0

Answer:

v = 7

is the value for which

x = (-21 - √301)/10

is a solution to the quadratic equation

5x² + 21x + v = 0

Step-by-step explanation:

Given that

x = (-21 - √301)/10 .....................(1)

is a root of the quadratic equation

5x² + 21x + v = 0 ........................(2)

We want to find the value of v foe which the equation is true.

Consider the quadratic formula

x = [-b ± √(b² - 4av)]/2a ..................(3)

Comparing (3) with (2), notice that

b = 21

2a = 10

=> a = 10/2 = 5

and

b² - 4av = 301

=> 21² - 4(5)v = 301

-20v = 301 - 441

-20v = -140

v = -140/(-20)

v = 7

That is a = 5, b = 21, and v = 7

The equation is then

5x² + 21x + 7 = 0

You might be interested in
Is 1.30 bigger than 1.3?
FromTheMoon [43]
It is the same value
4 0
2 years ago
What phrases can be represented by the algebraic expression 12 over w
Nimfa-mama [501]

12/w or 12 divided by w

4 0
2 years ago
Read 2 more answers
At fairvie middle school 75 band members need to raise a total of 8250 for a trip. So far they have raised 3120. How much money
galina1969 [7]
$8250 - $3120 = $5130

$5130/75 = $68.40

Each band member must raise $68.40
8 0
2 years ago
What is the sum of the digits of all 2-digit numbers from 10-99?
IRISSAK [1]
Huh, well the sum is just adding the numbers together, so the answer is 4905.
7 0
2 years ago
Read 2 more answers
Write an expression with a negative exponent that has a value between 0 and 1/2
aliya0001 [1]
<span>Exponent is a number used to express shorter equation; it is a number that says how many times you are going to multiply the base number.
</span><span>
Exponents have several laws, here are some:
=> x^1 = x
=> x^0 = 1
=> x^-1 = 1/x
=> x^m x^n = X^m+n
=> x^m/x^n = x^m-n

And since we were asked to write an expression with a negative exponent that has a value between 0 and ½
=> 2^ -2 = ½

</span>



4 0
3 years ago
Other questions:
  • What is the quotient of 3/5 and 1/10<br> A.1/6<br> B.1/3<br> C.3<br> D.6
    7·2 answers
  • What is the perimeter of the rectangle shown on the coordinate plane, to the nearest tenth of a unit?
    6·1 answer
  • Which of the following graphs has a constant rate of change?​
    8·2 answers
  • Solve for x 11 - 13x - 7 - 2x = 7
    9·2 answers
  • Please Help Me!!!!<br> Max Points
    11·2 answers
  • How do you solve this
    10·1 answer
  • The sum of two number is 42.Their difference is 12.What are the two numbers?
    11·1 answer
  • Find the value of x.
    7·1 answer
  • Plzzz help
    11·1 answer
  • Help pls I don’t rlly understand
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!