[" If the equations "x^(2)+ax+b=0" and "x^(2)+cx+d=0" have a common "1],[" first equation has equal roots then prove that "2(b+d)=ac" ."]

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 the equations x^(2) - ax + b = 0 and x^(2) + bx - a = 0 have a common root, then

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).

If the equations x^(2)+ax+b=0 and x^(2)+a'x+b'=0 have a common root then this common root is equal to

If the equation x^2-cx+d=0 and x^2-ax+b=0 have a common root,and the roots of the second equations are equal ,then prove that 2(b+d)=ac

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).