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
jek_recluse [69]
2 years ago
14

Write the quadratic equation that has roots (-1-√2)/3 and (-1+√2)/3 , if it's coefficient with x^2 is equal to

Mathematics
1 answer:
MArishka [77]2 years ago
3 0

9514 1404 393

Answer:

  (a) x² +2/3x -1/9 = 0

  (b) 9x² +6x -1 = 0

Step-by-step explanation:

The product of quadratic factors can be expanded to give ...

  (x -p)(x -q) = x² -(p+q)x +pq

Then the coefficients of x² +bx +c = 0 will be ...

  b = -((-1-√2)/3 +(-1+√2)/3)) = 2/3

  c = ((-1-√2)/3)·((-1+√2)/3) = (-1/3)² -(√2/3)²) = 1/9 -2/9 = -1/9

a) The quadratic with leading coefficient 1 is ...

  x² +2/3x -1/9 = 0

__

b) Multiplying that by 9 gives ...

  9x² +6x -1 = 0

You might be interested in
Log5 4+log5 2x=log5 24
I am Lyosha [343]
Ggffghhghhjjjhhjghj
3 0
3 years ago
Calculate the total with 6% sales tax and 18% tip for a dinner that costs $27.58
beks73 [17]
Do $27.58 x .06 (for the sales tax) which equals in total $1.65.
Then do $27.58 x .18 (for the tip) which equals $4.96 in total.
Later add the tip and tax together which you get $6.61,add that to $27.58 and you'll get $34.19 total adding the tax and tip
3 0
3 years ago
Simple, plz help! Need Plato answer
Nataly_w [17]
Factors of 121 are; 1,11, and 121. so it would be D.
7 0
3 years ago
Read 2 more answers
Pic attached<br> solve for x
nordsb [41]
The answer to your question is  x = -3

6 0
3 years ago
Read 2 more answers
Help me pleaseeeeeee
olya-2409 [2.1K]

Answer:

926% and I'm pretty sure the other one is 0.7

Step-by-step explanation: For a you have to remove the decimal. for b you have to remove the %

7 0
2 years ago
Other questions:
  • Write a program in java language to illustrate three different uses of “super” <br> keyword?
    13·1 answer
  • Which correctly describes how the graph of the inequality 4x - 2y &gt; 20 is shaded?
    14·2 answers
  • What is the volume of a cylinder with base radius 2 and height 9?​
    12·1 answer
  • bobby delivers newspapers in the neighborhood. in addition to a weekly salary, he earns tips from the people he delivers to . if
    12·1 answer
  • Can 11/100 be reduced?
    8·2 answers
  • The system of equations y = negative one-half x + 4 and y = 2x – 1 is shown on the graph below. According to the graph, what is
    5·1 answer
  • HELP ASAP <br><br> DONT UNDERSTAND AT ALL LOL
    11·1 answer
  • What is the volume of the cylinder?<br><br> Radius:3m<br><br> Height:17m
    10·1 answer
  • Which of the following represents the range of the graph below?​
    7·1 answer
  • Find the measure of the missing angles. (Picture Below)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!