Question

if x - 1/x=4 then find the value of x+1/x​

Answer 1

Answer:

-2

Step-by-step explanation:

x - 1/x = 4

⇒ x - 1 = 4x (Transposing x to the right hand side)

⇒ -1 = 4x - x

⇒ -1 = 3x

∴ x = -1/3

Find x + 1/x (Let's replace x by it's value)

⇒ -1/3 + 1/-1/3

⇒ (-1/3 + 1) * -3

⇒ 2/3 * -3 = -2

∴ x+1/x = -2