Question

If x^2+1/x^2=102 ,find the value of x^3-1/x^3

Answer 1

X² + 1/x² = 14

(x + 1/x)² -2.x.1/x = 14

(x + 1/x )² -2 = 14

(x + 1/x )² = 16

take square root both sides

(x + 1/x) = 4

then,

x³ + 1/x³ = ( x + 1/x)³ - 3.x.1/x(x + 1/x)

= ( x +1/x)³ -3(x + 1/x)

= (4)³ -3(4)

= 64 - 12

= 52

Answer 2

Answer:

Step-by-step explanation: