Question

x=2root3. find x^3-1/x^3
pls help me ​

Answer 1

Answer:

$x^{3}-\frac{1}{x^{3}}$ = $\frac{1727\sqrt{3}}{72}$

Step-by-step explanation:

Given: x = 2√3

⇒ $x^{3}-\frac{1}{x^{3}}$ = $(2\sqrt{3})^{3}-\frac{1}{(2\sqrt{3})^{3}}$

⇒ $x^{3}-\frac{1}{x^{3}}$ = $24\sqrt{3}-\frac{1}{24\sqrt{3}}$

⇒ $x^{3}-\frac{1}{x^{3}}$ = $\frac{1728-1}{24\sqrt{3}}$

⇒ $x^{3}-\frac{1}{x^{3}}$ = $\frac{1727}{24\sqrt{3}}$

⇒ $x^{3}-\frac{1}{x^{3}}$ = $\frac{1727\sqrt{3}}{72}$

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