[" If the equations "x^(2)+px+q=0(p,q in R)" and "x^(3)+],[3x^(2)+5x+3=0" have two roots common,then find "],[" the value of "(p+q)]

If x^(2)-3x+2=0,3x^(2)+px+q=0 have two roots common then the value of p and q 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^(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 all the equations x^(2)+px+10,x^(2)+qx+8=0 and x^(2)+(2p+3q)x+60=0 where p,q in R have a common root,then the value of (p-q) can be (i) -1( ii) 0( iii) 1 (iv) 2

Given that 2 is a root of the equation 3x^(2)-p(x+1)=0 and that the equation px^(2)-qx+9=0 has equal roots,find the values of p and q

The equation x^(3)+3x^(2)+px+q=0 and x^(3)+5x^(2)+px+r=0 have two roots common.If the third root of each equation represented by alpha and beta respectively then find the ordered pair (alpha,beta)

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.