Question

if x^+1/x=3root5 then find the value of x^2-1/x^2​

Answer 1

Hey mate

here is your answer

${(x + \frac{1}{x} )}^{2} = {x}^{2} + 2x \times \frac{1}{x} + \frac{1}{ {x}^{2} } \\ {(3 \sqrt{5} )}^{2} = {x}^{2} + 2 + \frac{1}{ {x}^{2} } \\ 45 = {x}^{2} + 2 + \frac{1}{ {x}^{2} } \\ 43 = {x}^{2} + \frac{1}{ {x}^{2} }$

hope it helps you.... ☺️☺️