The equation `x^3+px^2+qx+r=0 and x^3+p\'x^2+q\'x+r'=0` have two common roots, find the quadratic whose roots are these two common roots.

The equations x^3+4x^2+p x+q=0 and x^3+6x^2+p x+r=0 have two common roots, where p,q,r in R. If their uncommon roots are the roots of equation x^2+2a x+8c=0, then (i) a+c=8 (ii) a+c=2 (iii) 3q=2r (iv) 2q=3r

If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then p+q+4r=

If the equations px^2+2qx+r=0 and px^2+2rx+q=0 have a common root then p+q+4r=

IF x^2 +px + q=0 and x^2 + qx +p=0 have a common root , then their other roots are the roots of

If the equations x^(2)-px+q=0 and x^(2)-ax+b=0 have a common root and the second equation has equal roots then

IF the equations x^(3) + 5x^(2) + px + q = 0 and x^(3) + 7x^(2) + px + r = 0 have two roots in common, then the product of two non-common roots of two equations, is

IF the equations x^(3) + 5x^(2) + px + q = 0 and x^(3) + 7x^(2) + px + r = 0 have two roots in common, then the product of two non-common roots of two equations, is

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