Question

The value of $\alpha,\beta$ is.

• A. $ax^{2} + bx + c = 0$
• B. $\alpha + \beta,$
• C. $\alpha^{2} + \beta^{2},$
• D. None of these

Answer 1

Answer: (B)

$\alpha + \beta,$

Answer 2

Let $- 5,4,\frac{- 1 \pm 5\sqrt{-}3}{2}$

⇒ $5,4,\frac{- 1 \pm 5\sqrt{-}3}{2}$ (on simplification)

⇒ $- 5, - 4,\frac{1 \pm 5\sqrt{-}3}{2}$

But the value of the given expression cannot be negative or less than 2, therefore $x^{3} - 3x^{2} + x + 5 = 0$ is required answer.