The roots of the equation, $(x^{2} + 1)^{2} = x (3 x^{2} + 4 x + 3)$ are given by

2 - \sqrt{3}

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(\frac{- 1 + i \sqrt{3}}{2})

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2 + \sqrt{3}

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\frac{- 1 - i \sqrt{3}}{2}

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Solution

The correct options are
A $2 - \sqrt{3}$
B $(\frac{- 1 + i \sqrt{3}}{2})$
C $2 + \sqrt{3}$
D $\frac{- 1 - i \sqrt{3}}{2}$

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Similar questions

The root of the equation, $(x^{2} + 1)^{2} = x (3 x^{2} + 4 x + 3),$ are given by

\frac{\sqrt{2} + \sqrt{3} i}{\sqrt{2} - \sqrt{3} i}

\frac{\sqrt{2} - \sqrt{3} i}{\sqrt{2} + \sqrt{3} i}

i = \sqrt{- 1}

x^{3} - 7 x^{2} + 4 x + 12 = 0

1 : 3

1

4 x^{3} - x^{2} + 2 x - 3 = 0

Find the equation whose roots are 1 , $ω$ , $ω^{2}$ where $ω$ = $\frac{- 1 + i \sqrt{3}}{2}$

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