If x² - 6 √(3) x + 1 = 0, then the value of x³ + 1/(x³) will be:

If x² - 6 √(3) x + 1 = 0, then the value of x³ + 1/(x³)…

If x² - 6 $\sqrt{3}$ x + 1 = 0, then the value of x³ + $\frac{1}{x^3}$ will be:

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 630.

x² - 6√3x + 1 = 0

⇒ $x +\frac{1}{x}$ = 6√3

$x^3 + \frac{1}{x^3}$ + 3 × 6√3 = 648√3

⇒ $x^3 + \frac{1}{x^3}$ = 648√3 - 18√3

⇒ $x^3 + \frac{1}{x^3}$ = 630√3