Question

if x²+1/x²=3 find the value of x-1/x​

Answer 1

Answer:

1

Step-by-step explanation:

x² + 1/x² = 3 ---(i)

Now, (x - 1/x)²

=> x² + 1/x² - 2(x)(1/x)

=> 3 - 2 => 1                 [From (i)]

As, (x - 1/x)² = 1

∴ x - 1/x = √1 => 1