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
stiv31 [10]
3 years ago
13

Write a quadratic equation in standard form that has 5 3 and 7 3 as its roots. A) 9x2 − 36x + 35 = 0 B) 9x2 + 36x − 35 = 0 C) 9x

2 + 36x + 35 = 0 D) 9x2 − 36x − 35 = 0
Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

Option A)

9x^2 - 36x + 35 = 0

Step-by-step explanation:

We are given the following in the question:

Roots of quadratic equation are:

\alpha = \dfrac{5}{3}, \beta = \dfrac{7}{3}

The sum of the roots and the product of the roots can be calculated as:

\alpha + \beta = \dfrac{5+7}{3} = 4\\\\\alpha\beta = \dfrac{5}{3}\times \dfrac{7}{3} = \dfrac{5}{9}

Standard form of quadratic equation:

x^2-(\alpha + \beta)x+\alpha\beta = 0

Putting values, we get,

x^2 - 4x + \dfrac{35}{9} = 0\\\\9x^2 - 36x + 35 = 0

is the required quadratic equation.

Thus, the correct answer is

Option A)

9x^2 - 36x + 35 = 0

You might be interested in
You need to replace the molding around a floor that is 15 feet long and 23 feet 6 inches wide. The molding sells for $0.50 per f
julsineya [31]
$41.04 you multiply how long and how wide it is together. after that that the answer is 2,070 then divide it by 50 and you get $41.04.

i hope that helps!!
4 0
3 years ago
Five times a number is less than 6 more than four times the number.<br> translate into math
myrzilka [38]
5 • X < 6 > 4• X .............
4 0
3 years ago
62.938 to 2 decimal places
Zanzabum

Answer:

Alright well just convert the ratio, into a fraction

31.469 . Hope this helps have a nice day :)

Step-by-step explanation:


5 0
3 years ago
Distribute and simplify
SCORPION-xisa [38]

Answer:

440/5-100

Step-by-step explanation:

20(4 2/5 - 5)

4 0
3 years ago
Find the coordinates of point A
mafiozo [28]

Answer:

10.4

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Karl and his dad are building a playhouse for karl's younger sister. the floor of the playhouse will be a rectangle that is 6 by
    9·1 answer
  • Factor<br> 2z to the second power +3z-9
    10·1 answer
  • a rectangle has a perimeter of 6x^3+9x^2-10x+7 and a length of x. find the width of the rectangle when the length is 19 inches
    14·2 answers
  • Heidi is doing a study for her statistics class, and she needs to obtain a random sample of students from a local college
    15·1 answer
  • What is the diameter of a circle with a circumference of 30 pi inches
    8·2 answers
  • URGENT !!! f(x) = x^2. what is g(x)?
    7·2 answers
  • The sum of two consecutive numbers is 2x+3. What are the numbers
    15·1 answer
  • A number n is greater than 22
    15·2 answers
  • Using only 4s and ls, write down the smallest number that is even and<br> divisible by 3
    10·2 answers
  • Find the value of y and x​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!