Question

If X+1/X=2 , then find the value of x-1/x​

Answer 1

Answer:

0

Step-by-step explanation:

x + 1/x = 2

(x²+1)/x = 2

x² + 1 = 2x

x² - 2x + 1 = 0

(x - 1)(x - 1) = 0

x - 1 = 0

x = 1

x - 1/x = (x² - 1)/x = (1²-1)/1 = 0/1 = 0

Hope it helps you:)

Answer 2

Answer:

X- 1/x = 0

Step-by-step explanation:

X + 1/X = 2

Squaring on both side

${(x + \frac{1}{x} )}^{2} = {2}^{2} \\ {x}^{2} + { \frac{1}{x} }^{2} + 2 \frac{x}{x} = 4 \\ {x}^{2} + { \frac{1}{x} }^{2} = 2$

Now

${(x - \frac{1}{x} )}^{2} = {x}^{2} + { \frac{1}{x} }^{2} - \frac{2x}{x} \\ = 2 - 2 \\ = 0 \\ (x - \frac{1}{x} ) = 0$