Question

Solve for x: x + 1/x = 2 ( A ) -sqrt(2) ( B ) sqrt(2) ( C ) -1 ( D ) 1

Answer 1

Answer:

options (D) 1

Step-by-step explanation:

$\frac{x + 1}{x} = 2 \\ \\ x + 1 = 2x \\ \\ 1 = 2x - x \\ \\ 1 = x$

Answer 2

Answer:

D) 1

Step-by-step explanation:

x + 1/x = 2    ---------------- [1]

(x - 1/x)² =  (x + 1/x)² - 4

=> (x - 1/x)² = 4 - 4 = 0

=> x - 1/x = 0  --------------- [2]

Solving [1] and [2] by addition.

x + 1/x = 2

x - 1/x = 0

----------------

2x = 2

---------------

=> x = 1.