If the equation `x^2 + qx +rp=0 and x^2 + rx + pq = 0` have a common root,, , then the other root will satisfy the equation

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 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 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=

Prove that , if the equations x^2+bx+ca=0 and x^2+cx+ab=0 have only non-zero common root then their other roots satisfy the equation t^2+at+bc=0 .