Question

Ifx-1/x=1/2 find the value of 4x square + 4/x square

Answer 1

Answer:

4x2  + (4/x2) = 9

Step-by-step explanation:

Given (x – 1/x) = 1/2

Squaring on both the sides, we get

(x – 1/x)2 = (1/2)2

x2 – 2 + (1/x2) = 1/4

x2  + (1/x2) = (1/4) + 2

                 = (9/4)

∴ 4x2  + (4/x2) = 9