Question

if x²=(1/x²)+1 ,then x²+(1/x²)=​

Answer 1

Answer:

x² + 1/x² = {1/(x-1/x)}² - 2

Step-by-step explanation:

x² = (1/x²) + 1

x² - (1/x²) = 1

(x + 1/x) (x - 1/x) = 1

(x + 1/x) = 1/(x - 1/x)

squaring both side

x² + 1/x² + 2 = {1/(x-1/x)}²

x² + 1/x² = {1/(x-1/x)}² - 2

it's your answer.