If x² - 3 √(2) x + 1 = 0, then what is the value of x³ + (1/x³) ?

If x² - 3 √(2) x + 1 = 0, then what is the value of x³ +…

If x² - 3 $\sqrt{2}$ x + 1 = 0, then what is the value of x³ + (1/x³) ?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 45 $\sqrt{2}$ .

x² - 3 $\sqrt{2}$ x + 1 = 0

x + 1/x = 3 $\sqrt{2}$

x³ + (1/x³) = 54 $\sqrt{2}$ - 9 $\sqrt{2}$ = 45 $\sqrt{2}$