the function with the sum of roots of 11 and product of roots is 11 is..?

thanks for the help!

  1. 👍
  2. 👎
  3. 👁
  1. Assuming the function is quadratic with an x^2 coefficient of 1,

    in the form ax^2 + bx + c = 0.

    x = [-b +/- sqrt(b^2 -4ac)]/2a

    root sum = -b/a = -b
    root product = (1/4a^2)*(-4ac) = -c

    x^2 -11x -11 = 0 is the function

    Roots are (1/2)(11 + sqrt165)
    and (1/2)(11 - sqrt165)

    There are many other functions that would meet your criteria, but all of the quadratic ones must be a multiple of the one above.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Alegbra 2

    Use the rational root theorem to list all possible rational roots for the equation. X^3+2x-9=0. Use the rational root theorem to list all possible rational roots for the equation. 3X^3+9x-6=0. A polynomial function P(x) with

  2. Mathematics

    𝑥2 + 7𝑥 + 10 = 0 find the sum and product of roots

  3. math

    find the sum and product of the roots of the equation 5x^2+11x-3=0 ?

  4. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

  1. Algebra

    Given the roots, 1/2 and 4, find: (A) The quadratic equation 2x^2-9x+4 ? (B) The sum of the roots 4 1/2, or 9/2 (C) The product of the roots 2 Are these answers correct?

  2. Math

    a) Explain the relationship between the axis of symmetry and the quadratic formula. b) We know that the quadratic formula can be used to determine the roots of a quadratic function. However, the quadratic formula also reveals how

  3. Precalculus

    "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the

  4. Algebra 2

    Q: Write a quadratic equation with integral coefficients whose roots are -6+i and -6-i My Answer: x^2+12x+37 (first) sum=-12 product=37 (then) write equation using formula x^2-(sum)x+product Is my work and answer correct?

  1. Alg 2

    By what amount does the sum of the roots exceed the product of the roots of the equation (x-7)(x+3)=0? I have no idea what to do!

  2. Biology

    Which of the following statements correctly compares the functions of a plant's roots and stem? The stem contains a high percentage of cells that provide structural support, unlike the roots. The stem is the first part of the

  3. Algebra 2

    How would you write a polynomial function with rational coefficients so that P(x)=0 has the given roots? The given roots are -2,-2,3,5

  4. maths2

    Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)

You can view more similar questions or ask a new question.