If the equation `ax^2+x+b=0` and `x^2+bx+a=0` a have common root and the second Equation has equal roots, then `2a^2+b`:

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 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 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 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 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.