Home
Class 11
MATHS
If ax^(2) +bx+c=0 and bx^(2)+cx +a= 0 ha...

If `ax^(2) +bx+c=0 and bx^(2)+cx +a= 0` have a common root and a,b, c are non zero real numbers then prove that `(a^(3)+b^(3)+c^(3))/(abc)=3`

Text Solution

Verified by Experts

The correct Answer is:
3
Promotional Banner

Similar Questions

Explore conceptually related problems

If the equations x^(2)+ax+bc=0 and x^(2)+bx+ca=0 have a common root and if a, b and c are non-zero distinct real numbers, then their other roots satisfy the equation

If x^(2)+3x+5=0 and ax^(2)+bx+c= 0 have common root/roots and a,b, c in N then find the minimum value of a+b+c .

For a ne b, if the equation x ^(2) + ax + b =0 and x ^(2) + bx + a =0 have a common root, then the value of a + b equals to:

If alpha and beta are the distinct roots of ax^(2)+bx+c=0 , where a, b and c are non-zero real numbers, then (aalpha^(2)+balpha+6c)/(alphabeta^(2)+b beta+9c)+(abeta^(2)+b beta+19c)/(aalpha^(2)+balpha+13c) is equal to