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
Sergeeva-Olga [200]
3 years ago
12

Form a quadratic polynomial whose zeroes are 3-√3/5 and 3+√3/5?​

Mathematics
1 answer:
barxatty [35]3 years ago
3 0

Answer:

x^2 -6x + 222/25

Step-by-step explanation:

If the zeros are as above, then ;

x = 3-√3/5 or x = 3 + √3/5

Firstly, let’s represent √3/5 by b

Thus;

The two roots are ;

x = 3-b or x = 3 + b

so;

x+ b -3 and x -3-b

The quadratic equation is the product of the two

(x + b-3)(x - b -3)

x(x - b-3) + b(x -b -3) -3(x - b -3)

= x^2 -bx -3x + bx -b^2 -3b -3x + 3b + 9

Collect like terms and we are left with;

x^2 -6x -b^2 + 9

So let’s put back b = √3/5

x^2 -6x -(√3/5)^2 + 9

x^2 -6x -3/25 + 9

x^2 -6x + 222/25

You might be interested in
On a bike ride, calvin starts at home and goes up a long hill for 30 minutes at just 6 mph. at the top, he turns around and ride
omeli [17]

Answer:

<u>9 mph</u>

Step-by-step explanation:

Calvin's first leg of the trip took 0.5 hr (30 minutes) at 6 mph.  That means he travelled (0.5hr x 6 mph =) 3 miles.  He travelled 3 miles on the return trip, by definition (same path home).  At 18 mph, 3 miles would take (3 miles/18 mph =) 0.1667 hours.  That makes a total of 6 miles and (0.5 + 0.1667=) 0.6667 hours.

(6 miles)/(0.6667 hours) = 9 mph is Calvin's average speed for the round trip.

3 0
1 year ago
Read 2 more answers
If a shape has four sides, then it is a quadrilateral. A square has four sides. (It is asking What is a logical conclusion from
IRISSAK [1]

Answer:

B: A square is a quadrilateral

Step-by-step explanation:

6 0
2 years ago
Please help <br> Will give brainliest!!!
Verdich [7]
Step 1: set equations equal to eachother
2x+2=x-1
which equals to x=-3
so the answer is one.
7 0
3 years ago
Read 2 more answers
Awner this asap pls my cousins homework more coming up
mixas84 [53]
The answer is option 1
3 0
3 years ago
Which is a solution to the equation 6 x + y = 42​
Alexus [3.1K]

6x+y=42

y=−6x+42

x=  −1 /6 y+7

4 0
3 years ago
Read 2 more answers
Other questions:
  • .
    11·1 answer
  • The expression 55 + 14m - 2n + 3p has what terms. 2? 5? 3? 4?
    12·1 answer
  • Barry bought 18.50 meters of light rope at ​$0.480 per meter and three meters of heavy rope at​ $1.08 per meter. How much change
    11·1 answer
  • Solve for
    14·2 answers
  • Help please help 10
    13·2 answers
  • Mel used half of her film to take pictures of her dog.hen she took 10 pictures of her cat. She has 14 exposures left before she
    8·1 answer
  • A ball is thrown from an initial height of 6 feet with an initial upward velocity of 18 fts. The ball's height h (in feet) after
    10·1 answer
  • Determine whether the scenario involves independent or dependent events.
    8·1 answer
  • A cabinet is 3.4 meters tall. What is the height in feet?
    12·2 answers
  • What is the measure of the unknown angle?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!