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Question: If the sum of the roots of the equation \(- 5, - 4,\frac{1 \pm 5\sqrt{-}3}{2}\) be equal to their pr...

If the sum of the roots of the equation 5,4,1±532- 5, - 4,\frac{1 \pm 5\sqrt{-}3}{2} be equal to their product, then x33x2+x+5=0x^{3} - 3x^{2} + x + 5 = 0

A

4

B

y=α2+αβγy = \sum\alpha^{2} + \alpha\beta\gamma

C

6

D

None of these

Answer

None of these

Explanation

Solution

Under condition, 3103\sqrt{10}2102\sqrt{10}