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
marshall27 [118]
3 years ago
11

Find a quadratic equation whose roots are 1.5 +√2 and 1.5-√2expressing it in the form of ax^2+bx+c+c=0 where a,b and c are integ

ers with step by step explanations
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

0 = f(x) = (x - r)(x - s) = x² - (r+s) + rs

We have r=1.5+√2,  s=1.5 -√2 so r+s = 3 and

rs = (1.5+√2)(1.5 - √2) = 1.5² - (√2)² = 2.25 - 2 = 0.25

f(x) = x² - 3x + -.25

For integer coefficients we mulitply by 4,

g(x) = 4f(x) = 4x² - 12x - 1

Answer:  4x² - 12x - 1 = 0

You might be interested in
Find the inverse f(x)=x+5/3x-1<br><br> f^-1(x)=
Kipish [7]

Answer:

  • f^-1(x) = (3/8)(x +1) . . . . as written
  • f^-1(x) = (x +5)/(3x -1) . . . with appropriate parentheses

Step-by-step explanation:

The inverse function can be found by solving for y:

  x = f(y)

  x = y + 5/3y -1 . . . . . . . . . . y +(5/3)y -1 . . . per order of operations

  x+1 = 8/3y . . . . . . . . . . add 1

  (3/8)(x +1) = y . . . . . . . . multiply by 3/8

  f^-1(x) = (3/8)(x +1) . . . . . inverse of the function as written

_____

Perhaps you intend f(x) = (x+5)/(3x-1). The inverse is found the same way.

  x = (y +5)/(3y -1)

  x(3y -1) = y +5

  3xy -x = y +5 . . . . . eliminate parentheses

  3xy -y = x + 5 . . . . . add x-y

  y(3x -1) = x +5 . . . . . factor out y

  y = (x +5)/(3x -1) . . . divide by the coefficient of y

  f^-1(x) = (x +5)/(3x -1) . . . . inverse of rational function

7 0
2 years ago
Factor the following polynomial completely.<br> -x^2y^2 + x^4 + 9y^2 - 9x^2
castortr0y [4]
See attached picture for answer:

3 0
3 years ago
When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle? Connect every other in
Amiraneli [1.4K]

Answer:

b i think

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which of the following describe 8? Select all that apply.
pav-90 [236]

8 is a<u> Natural number, </u><u>Whole number, Integer and Real number</u>

<h3>What is an integer?</h3>

An integer is a number that cannot be expressed as fraction. They are known as whole numbers.

For natural numbers, they are value that starts from 1 and above. Since 8 is greater than 1, hence it is a natural number.

Real number includes both fractions and whole numbers, hence 8 is also a real number.

Based on the explanation, we can conclude that 8 is a<u> Natural number, </u><u>Whole number, Integer and Real number</u>

Learn more on numbers here: brainly.com/question/1746829

#SPJ1

8 0
2 years ago
Find the following trigonometry values <br> cos (150*) = ? <br> sin (150*) = ?
melisa1 [442]

Answer:

See below in bold.

Step-by-step explanation:

cos 150 = - cos(180 - 150)

= - cos 30

= -√3/2.

sin 150

= sin (180 - 150

= sin 30

= 1/2.

4 0
3 years ago
Read 2 more answers
Other questions:
  • What are the answers to 1 5 3 and 6 really aprreciate it!
    12·1 answer
  • A number x divided by 7 is less than −3.
    7·2 answers
  • Doubling the quantity of a number decreased by six is less than negative thirty-six
    15·1 answer
  • Determine whether a tangent is shown in the diagram, Yes or No?
    9·1 answer
  • Rewrite the following rational expression with a new denominator as indicated 7/12 ;48
    7·1 answer
  • A guitar is on sale for 20% off the original price. Let p represent the original price. What expression can be used to calculate
    15·1 answer
  • Need help 8th grade math
    12·2 answers
  • Montella selling roses for four dollars each to raise money for a local charity if you spends 184 to buy the flowers roses Xmas
    5·1 answer
  • Find the area of the composite figure.
    14·2 answers
  • Please Help !!! its a math problem What is the range of the quadratic equation whose graph contains the following points?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!