Home
Class 11
MATHS
[2p^(2)+3q^(2)-5pq+1=0],[" 48.If the equ...

[2p^(2)+3q^(2)-5pq+1=0],[" 48.If the equations "x^(2)+abx+c=0" and "x^(2)+acx+b=0" have a common root,prove that their other roots "],[" satisfy the equation "x^(2)-a(b+c)x+a^(2)bc=0" ."]

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, then their other roots satisfy the equation

If the equations x^(2)+abx+c=0 and x^(2)+acx+b=0 have a common root,then their other roots satisfy the equation

If x^(2)+ax+b=0 and x^(2)+bx+ca=0(a!=b) have a common root,then prove that their other roots satisfy the equation x^(2)+cx+ab=0

If the equations x^(2)-x-p=0 and x^(2)+2px-12=0 have a common root,then that root is

If the equation x^(2)+ax+b=0 and x^(2)+bx+a=0 have a common root, then their other roots satisfy the equation