Question

Help me solve the question

Answer 1

Answer:

x³ + $\frac{1}{x^{3} }$ = 18

Step-by-step explanation:

given, $x^{\frac{3}{2}$ + $\frac{1}{x^{\frac{3}{2} } }$ = 2$\sqrt{5}$

on squaring both sides

($x^{\frac{3}{2}$ + $\frac{1}{x^{\frac{3}{2} } }$ ) ² = (2$\sqrt{5}$)²

x³ + $\frac{1}{x^{3} }$ + 2 = 4*5

x³ + $\frac{1}{x^{3} }$ = 20-2

x³ + $\frac{1}{x^{3} }$ = 18