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

If a gt 0 and both the roots of ax^(2) + bx + c = 0 are more than 1, then

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

If both the roots of the equation ax^(2) + bx + c = 0 are zero, then

If the roots of ax^(2) + bx + c are alpha,beta and the roots of Ax^(2) + Bx + C=0 are alpha- K,beta-K , then (B^(2) - 4AC)/(b^(2) - 4ac) is equal to -

Let a > 0, b > 0 & c > 0·Then both the roots of the equation ax2 + bx + c (A) are real & negative (C) are rational numbers 0 0.4 (B) have negative real parts (D) none

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

Suppose a, b, c in R, a ne 0. If a + |b| + 2c = 0 , then roots of ax^(2) + bx + c = 0 are

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

If a>0,b>0,c>0 then the roots ax^(2)+bx+c=0 are ...