Question

1
If x - 1 /x =1/2
then write the value of
4x²+4/X²​

Answer 1

Answer:

4

Step-by-step explanation:

x - 1/x = 1/2

square both sides

( x- 1/x )² = 1/4

applying ( a - b )² = a² + b² - 2ab

x² + 1/x² - 2 × x × 1/x = 1/4

(2x/x = 2)

so, x² + 1/x² = (1/4) + 2

x² + 1/x² = 9/4 ---- equation 1

4x² + 4/x² = 4 ( x² + 1/x² )

putting the value of x² + 1/x² from equation 1

4 ( 9/4 ) = 4