Home
Class 12
MATHS
Find the condition that the roots of x^3...

Find the condition that the roots of `x^3+px^2+qx+r=0` are in G.P.

Text Solution

Verified by Experts

The correct Answer is:
`9pq=2p^(3)+27r`
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART -III (Answer the questions)|10 Videos
  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART -IV (Answer the questions)|11 Videos
  • SAMPLE PAPER - 2

    FULL MARKS|Exercise PART -IV (Answer the questions)|11 Videos
  • SAMPLE PAPER - 19 (UNSOLVED)

    FULL MARKS|Exercise PART - IV (IV. Answer all the questions.)|14 Videos
  • SAMPLE PAPER - 20 (UNSOLVED)

    FULL MARKS|Exercise PART - IV (IV. Answer all the questions.)|14 Videos

Similar Questions

Explore conceptually related problems

Obtain the condition that the roots of x^3+px^2+qx+r=0 are in A.P

Find the condition that the roots of ax^3+bx^2+cx+d=0 are in H.P.

Find the condition that the roots of the equation ax^3+bx^2+cx+d=0 are in A.P.

Find the condition that the roots of cubic equation x^3+ax^2+bx+c=0 are in the ratio p : q : r .

Find the condition if the equation 3x^2+4a x+b=0 has at least one root in (0,1)dot

Let alpha and beta be the roots of equation px^2 + qx + r = 0 , p != 0 .If p,q,r are in A.P. and 1/alpha+1/beta=4 , then the value of |alpha-beta| is :

If the roots of the equation x^3+P x^2+Q x-19=0 are each one more that the roots of the equation x^3-A x^2+B x-C=0,w h e r eA ,B ,C ,P ,a n dQ are constants, then find the value of A+B+Cdot