Question

plz solve this with full solution​

Answer 1

x^(3/2)+x^(-3/2)=2√5

x³-x^(-3)+2•x^(3/2)•x^(-3/2)=20. [square both side]

x³-x^(-3)=18

hope this is helpful...

Answer 2

GIVEN❣️

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

FIND❣️

${x}^{ 3} - \frac{1}{ {x}^{3} } =?$

SOLUTION ❣️

$( {x}^{ \frac{3}{2} } + \frac{1}{ {x}^{ \frac{3}{2} } } ) \\ = > {x}^{3} + \frac{1}{ {x}^{3} } - 2 \\ = > 20 + 2 = {x}^{3} + \frac{1}{ {x}^{3} } \\ = > {x}^{3} + \frac{1}{ {x}^{3} } = 22 \\ \\ \\ \\ so \: answer \: is \underline{\boxed{ \underline{22}}}$