[" Prove that the roots of the equation "bx^(2)+(b-c)x+(b-c-a)=0" are real if those "],[" of "ax^(2)+2bx+b=0" are imaginary."]

Prove that the roots of the equation bx^(2)+(b-c)x+(b-c-a)=0 are real if those of ax^(2)+2bx+2b=0 are imaginary and vice versa

Prove that the roots of equation bx^2+(b-c)x+b-c-a=0 are real if those of equatiion ax^2+2bx+b=0 are imaginary and vice versa where a,b,c epsilon R .

Prove that the roots of equation bx^2+(b-c)x+b-c-a=0 are real if those of equatiion ax^2+2bx+b=0 are imaginary and vice versa where a,b,c epsilon R .

IF a,b,c are in G.P prove that the roots of the equation ax^2+2bx+c=0 are equal.

If roots of the equation ax^(2)+2(a+b)x+(a+2b+c)=0 are imaginary then roots of the equation ax^(2)+2bx+c=0 are

If a root of the equation ax^(2)+bx+c=0 be reciprocal of a root of the equation a'x^(2)+b'x+c'=0 then

The expression ax^2+2bx+b has same sign as that of b for every real x, then the roots of equation bx^2+(b-c)x+b-c-a=0 are (A) real and equal (B) real and unequal (C) imaginary (D) none of these

The expression ax^2+2bx+b has same sign as that of b for every real x, then the roots of equation bx^2+(b-c)x+b-c-a=0 are (A) real and equal (B) real and unequal (C) imaginary (D) none of these

Let a,b and c be three real and distinct numbers.If the difference of the roots of the equation ax^(2)+bx-c=0 is 1, then roots of the equation ax^(2)-ax+c=0 are always (b!=0)