maths

posted by .

if one zero of the quadratic polynomial 4xsquare + 5x+ gama be reciprocal of another zero, find the value of gama.

  • maths -

    4x²+5x+γ=4(x-k)(x-1/k)
    =4x²-4(k+1/k)+1
    Equate coefficients of terms:
    for x²: 4=4
    for x: -4(k+1/k)=5
    for constant term: γ=1

    So the equation is:
    4x²+5x+1=0
    (4x+1)(x+1)=0

  • maths -

    let the roots be p and 1/p

    We know that for ax^2 + bx + c = 0
    the sum of the roots = -b/a
    product of roots = c/a

    so in our case, product of the roots = gamma/4
    but the product of roots = p(1/p) = 1
    so
    gamma/4 = 1

    gamma = 4

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. maths

    how do i solve this equation? there is another answer other than 0, but i am not sure how to get it. 5x^2 + 7x =0 factor the term: x(5x+7)=0 Either term can be zero. You found the x=0, what value of x makes 5x+7 zero?
  2. quick social studies question

    Can you check my answer? Question: Where did Vasco de Gama go?
  3. Math

    Q.1)If one zero of the polynomial 3x2-kx-2 is 2 find the other zero.allso find the value of k. Q.2)If sum of the zeroes of the polynomial x2-x-k(2x-1) is 0,find the value of k Q.3)If 2 and 3 are the zeroes of the polynomial 3x2-2kx+2m …
  4. Maths

    true/false 1. a cubic polynomial has at least one zero.............. 2. a quadratic polynomial an have at most two zeroes.......... 3. if r(x)is the remainder and p(x) is the divisor, then degree r(x) < degree p(x)............ 4. …
  5. math please

    1.Give a linear function with its zero at x=a, what is the equation of the vertical asymptote of its reciprocal function?
  6. polynomials pankaj

    If one zero of polynomial (a^2+a)x^2+13x+6a is reciprocal of other ,find a.
  7. Maths

    If alpha&beta are the zeros of the cubic polinomial kx square-5x+k. If alphacub+beta cube +gama cube is 27.find the value of.k.?
  8. maths

    If the zero of the polynomial x2-5x+k are the reciprocal of each other find the value of k
  9. maths

    If the zero of the polynomial x2 + px + q and double of the zero of 2x2 - 5x-3 respectively find values of p and q?
  10. maths

    If the zero of the polynomial x2 + px +q and double of the zero of 2x2 - 5x-3 respectively find values of p and q?

More Similar Questions