Question

if x+1/x=4 find x-1/x and x^3-1/x^3 and x^3 +1/x^3​

Answer 1

$\bf\large\bigstar\underline\red{Solution:-}$

X + 1/X = 4

Cubing both sides ,

( X + 1/X )³ = (4)³

X³ + 1/X³ + 3 × X × 1/X × ( X + 1/X ) = 64

X³ + 1/X³ + 3 × 4 = 64

X³ + 1/X³ = 52

Answer 2

Answer:

X + 1/X = 4

Cubing both sides ,

( X + 1/X )³ = (4)³

X³ + 1/X³ + 3 × X × 1/X × ( X + 1/X ) = 64

X³ + 1/X³ + 3 × 4 = 64

X³ + 1/X³ = 52