Home
Class 12
MATHS
[Using Rolle's theorem show that between...

[Using Rolle's theorem show that between any two distinct real roots of equation `ax^3 + bx^2 + cx + d = 0,` there is at least one root of equation `3ax^2 + 2bx+c=0.]`

Promotional Banner

Similar Questions

Explore conceptually related problems

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

If alpha,beta are the roots of equation ax^(2)+bx+c=0, then what are the roots of equation cx^(2)-bx+a=0

If the roots of the cubic equation ax^3+bx^2+cx+d=0 are in G.P then

If the two roots of the equation ax^2 + bx + c = 0 are distinct and real then

If the roots of the equation ax^(2) + bx + c = 0 are in the ratio of 3 : 4 ,

FIND that condition that the roots of equation ax^3+3bx^2+3cx+d=0 may be in G.P.

FIND that condition that the roots of equation ax^3+3bx^2+3cx+d=0 may be in G.P.

If alpha and beta are the roots of the equation ax^(2)+bx+c=0, then what are the roots of the equation cx^(2) + bx + a = 0 ?