Let `a, b, c` are positive real numbers forming an A.P. and `ax^2 + 2bx + 5c = 0` has real roots, if

a,b,c are positive real numbers forming a G.P. ILf ax^2+2bx+c=0 and x^ 2 +2ex+f=0 have a common root, then prove that d/a,e/b,f/c are in A.P.

a,b,c are positive real numbers forming a G.P. If ax^2+2bx+c=0 and dx^ 2 +2ex+f=0 have a common root, then prove that d/a,e/b,f/c are in A.P.

a,b,c are positive real numbers forming a G.P. ILf ax^2+2bx+c=0 and dx^ 2 +2ex+f=0 have a common root, then prove that d/a,e/b,f/c are in A.P.

a,b,c are positive real numbers forming a. G.P. If ax ^(2) + 2 bx + c=0 and dx ^(2) + 2 ex + f =0 have a common root, pairs (a,b) of real numbers such that d/a,e/b,f/c are in arithmetic progression.

a,b,c are positive real numbers forming a G.P. ILf ax^(2)+2bx+c=0 and x^(2)+2ex+f=0 . have a common root,then prove that (d)/(a),(e)/(b),(f)/(c) are in A.P.

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

If a, b and c are positive real and a = 2b + 3c , then the equation ax^(2) + bx + c = 0 has real roots for

If a,b,c are positive real numbers, then the roots of the equation ax^(2) + bx + c =0