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

Prove that the roots of ax^(2)+2bx + c = 0 will be real distinct if and only if the roots of (a+c)(ax^(2)+2bx + c)=2(ac-.b^(2))(x^(2)+1) are imaginary.

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

Find the roots of ax^(^^)2+bx+c

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 the equation ax^(2)+bx+c=0 are equal then c=?

If the roots of the equation ax^2+bx+c=0 differ by K then b^(2)-4ac=

If roots of ax^(2)+2bx+c=0(a!=0) are non- real complex and a+c<2b .then

If alpha and beta are roots of ax^(2)+bx+c=0 ,and roots differ by k then b^(2)-4ac=

If alpha,beta are the roots of ax^(2)+bx+c=0 then those of ax^(2)+2bx+4c=0 are