IF ` x^2 +bx +a=0, ax^2+x+b=0` have a common root and the first equation has equal roots then ` 2a^2+b=`

If the two equations x^2 - cx + d = 0 and x^2- ax + b = 0 have one common root and the second equation has equal roots, then 2 (b + d) =

If the equation x^(2)+ax+b=0 and x^(2)+cx+d=0 have a common root and the first equation has equal roots, then prove that 2(b+d)=ac.

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 x^2+ax+b=0,x^2+bx+a=0 have a common roots then

IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b+ c=

If the two equation x^(2)-cx+d=0 and x^(2)-ax+b=0 have one common root and the second has equal roots then 2(b + d) is equal to

If the equations x^(2) - ax + b = 0 and x^(2) - ex + f = 0 have one root in common and if the second equation has equal roots, then prove that ae = 2 (b + f).