math

posted by .

Write a quadratic equation having the given number as solutions:


c/2 and d/2

  • math -

    please help me solve

  • math -

    I will use x as my variable

    if x = c/2 then 2x-c = 0
    if x = d/2 then 2x-d = 0

    your quadratic equation would be
    (2x-c)(2x-d) = 0

    expand it to get it into general form

    OR

    sum of roots = c/2 + d/2 = (c+d)/2
    product of roots = cd/4

    equation: x^2 - (c+d)/2 x + cd/4 = 0 or
    4x^2 - (c+d)x + cd = 0

  • CORRECTION math -

    last line should read:
    4x^2 - 2(c+d)x + cd = 0

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Quadratic -Make up a problem

    I am supposed to write a quadratic equation in the varible x having the given numbers as solutions. Type the equation in standard ax^2+bx+c=0 my solution is 1, only one solution. The equation is __________=0?
  2. college

    Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form ax^2 + bx + c =0 The solutions are -10, 3 The equation is blank = 0
  3. Math, plz help

    How do I write a quadratic equation having the given numbers as solutions of -9 and 3
  4. math!HELP!!

    write a quadratic equation in the variable x having the given numbers as solutions. Use ax^2 + bx + c=0 Thanks so much for the help
  5. algabra

    Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard from, as^2+bx+c=0 the solutions are (-3,1)
  6. College Algebra

    Write a quadratic equation having the given solutions 14 and -9
  7. Math

    Write a quadratic equation having the given number as solutions -7 and -4 I cant think of how to do this?
  8. Math

    Write a quadratic equation having the given numbers as solutions. -5 and -2 The quadratic equation is: __=0 Thank you.
  9. Math

    Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma …
  10. Math

    Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a comma …

More Similar Questions