If x2 +1/x2 = 7, Find he value of x - 1 /x
Given that x²+1/x² =7
(x-1/x)² = x² -2 × x × 1/x + 1/x²
= x² + 1/x² - 2
= 7 - 2
= 5
Therefore x-1/x = √5
(x-1/x)² = x² -2 × x × 1/x + 1/x²
= x² + 1/x² - 2
= 7 - 2
= 5
Therefore x-1/x = √5