If the roots of `ax^2+b(2x+1)=0 ` are imaginary then roots of `bx^2+(b-c)x=c+a-b` are

If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the roots of b (x^2+1)+2acx =0 are

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 the difference of the roots of x^2-bx+c=0 is equal to the difference of the roots of x^2-cx +b=0 and b ne 0 , then b+c=

If both the roots of ax^(2)+bx+c=0 are negative and b<0 then :

IF the roots of ax^2 +bx +c=0 are both negative and b < 0 then

If alpha , beta are the roots of ax ^2+2bx +c=0 and alpha + sigma , beta + sigma are the roots of Ax^2 + 2Bx +c=0 then (b^2-ac)/(B^2-AC)=

If the roots of 2x^(2) + 7x + 5 = 0 are the reciprocal roots of ax^(2) + bx + c = 0 , then a-c = "_____" .

If the roots of ax^(2)+2bx+c=0 be possible and different then the roots of (a+c)(ax^(2)+2bx+2c)=2(ac-b^(2))(x^(2)+1) will be impossible and vice versa

If theroots of the equation ax^(2)-2bx+c=0 are imaginary,find the number of real roots of 4e^(x)+(a+c)^(2)(x^(3)+x)=4b^(2)x