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 (a,q,r in R) have exactly two roots common,then p:q:r is

If x^(2)-3x+2=0,3x^(2)+px+q=0 have two roots common then the value of p and q is

IF every pair from the equation x^2 +px +qr =0 , x^2 +qx + rp =0 and x^2 + rx +pq =0 has a common root , them the product of three common roots is

If the equations x^(3)+x^(2)-4x=4 and x^(2)+px+2p=0(p in R) have two roots common,then the value of p is

The product of two roots of the equation x^2 - 7x + 3 = 0 is ____

The equation ax^(2)+bx+a=0 and x^(3)-2x^(2)+2x-1=0 have two root in common,then (a+b) is equal to

The equations x^(3)+4x^(2)+px+q= 0 and x^(3) +6x^(2)+px+r= 0 have two common roots, where p, q, r in R . Then find the equation formed by their uncommon roots.

Let the equations x^(3)+2x^(2)+px+q=0and x^(3)+x^(2)+px+r=0 have two toots in common and the third root of each equation are represented by alphaand beta respectively, find the value of |alpha+beta|