Let `a, b, c in R` such that the equation `ax^2 + bx + c = 0` has two distinct rational roots, then the equation, `ax^2+ (2a + b)x + (b + c) = 0` has

A quadratic equation ax^(2) + bx + c = 0 has two distinct real roots, if….

If the two roots of the equation ax^2 + bx + c = 0 are distinct and real then

If a, b, c in R and 2a + 3b + 6c = 0, then the equation ax^(2) + bx + c = 0 has

If the equation ax^(2) + 2 bx - 3c = 0 has no real roots and (3c)/(4) lt a + b , then

If a + b + c = 0, then the equation 3ax^(2) + 2bx + c = 0 has, in the interval (0, 1)

If 2a+3b+6c =0 then the equation ax ^2 + bx +c=0 has atlest one root in

Let a, b, c in R with a gt 0 such that the equation ax^(2) + bcx + b^(3) + c^(3) - 4abc = 0 has non-real roots. If P(x) = ax^(2) + bx + c and Q(x) = ax^(2) + cx + b , then

Let a, b, c in R with a gt 0 such that the equation ax^(2) + bcx + b^(3) + c^(3) - 4abc = 0 has non-real roots. If P(x) = ax^(2) + bx + c and Q(x) = ax^(2) + cx + b , then