Question

If a,b,c, are in g.P then the equation ax2 + 2bx + c =0 and dx2 + 2ex + f =0 have a common root then

Answer 1

ax2+2bx+x=0

dx2+2ex+f=0

let a=1

b=1 ,c=1,d=1,e=1

1x2+2×1x+x=0

1x2+2×1x+y=0

1x2+2x+y=0

1x2+2x+x=0

=2x4+4x=x+y