Let a > 0, b > 0 And c > 0. Then Both The Roots Of The Equation ax2 + bx +c = 0

If ax² + bx + c, a, b, c Ïµ R has no real zeros, and if c < 0, then,

If x is real, then the maximum value of    

If both the roots of the equation x² – 6ax + 2 – 2a + 9a² = 0 exceed 3, then

Let α, β be the roots of the equation x² – ax + b = 0 and A_n = αⁿ + βⁿ. 

Let f (x) = ax² + bx + c, a, b, c Ïµ R. if f (x) takes real values for real values of x and non – real values for non – real values of x, then.

If α, β, γ are such that α + β + γ = 2, α² + β² + γ² = 6, α³ + β³ + γ³ = 8, then α⁴ + β⁴ + γ⁴ is

The condition that the equation  has real roots that are the equal in magnitude but opposite in sign is

If x is real, and 

Let a, b, c be non – zero real number such that

Then the quadratic equation ax² + bx + c = 0 has