Home
Class 12
MATHS
If k is real , discuss the nature of the...

If k is real , discuss the nature of the roots of the polynomial equation `2x^2+kx+k=0` , in terms of k.

Answer

Step by step text solution for If k is real , discuss the nature of the roots of the polynomial equation 2x^2+kx+k=0 , in terms of k. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.3|8 Videos
  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.4|3 Videos
  • THEORY OF EQUATIONS

    PREMIERS PUBLISHERS|Exercise Exercise 3.1|16 Videos
  • PROBABILITY DISTRIBUTIONS

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|40 Videos
  • TWO DIMENSIONAL ANALYTICAL GEOMETRY - II

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|30 Videos

Similar Questions

Explore conceptually related problems

If k is real, discuss the neture of the roots of the polynomial equaion 2x^2 + x + k = 0 , in terms of k.

If p is real, discuss the nature of the roots of the equation 4x^(2) + 4 px + p + 2 = 0 , in terms of p .

Knowledge Check

  • The root of the polynomial equation 2x+3=0 is

    A
    `(1)/(3)`
    B
    `-(1)/(3)`
    C
    `-(3)/(2)`
    D
    `-(2)/(3)`
  • The root of the polynomial equation 2x + 3 = 0 is

    A
    `(1)/(3)`
    B
    `-(1)/(3)`
    C
    `-(3)/(2)`
    D
    `-(2)/(3)`
  • The root of the polynomial equations 2x+3=0 is ………….

    A
    ` (1)/(3) `
    B
    ` -(1)/(3) `
    C
    ` -(3)/(2) `
    D
    `-(2)/(3) `
  • Similar Questions

    Explore conceptually related problems

    If p is real, discuss the nature of the roots of the equation 4x^2+4px+p+2=0 , in terms of p.

    One of the roots of quadratic equation 2x^(2)+kx-2=0 is -2, find k.

    If sum of the roots of the equation x^3-3x^2-16x+k=0 is zero then find the value k.

    One of the roots of equation 5m^(2)+2m+k=0 is -7/5 . Find the value of 'k'.

    If x=9 is one root of the quadratic equation x^(2)-11x+k=0 , then find the value of k.