Question

X^3+1/x^3=52 then find x-1/x=?

Answer 1

Answer:

Ans. : $1-\sqrt[3]{51}$

Step-by-step explanation:

$\frac{x^3 + 1}{x^3} = 52\\1 + \frac{1}{x^3} = 52\\\frac{1}{x^3} = 51\\x^3 =\frac{1}{51} \\x= \frac{1}{\sqrt[3]{51} }$

Now ,

$\frac{x-1}{x} = 1-\frac{1}{x} = 1-\frac{1}{\frac{1}{\sqrt[3]{51} } } = 1-\sqrt[3]{51}$

Ans.