X2+1/X2=83,find thevalue of X3-1/X3= - Maths - Algebraic Expressions and Identities

Question

X2+1/X2=83,find thevalue of
X3-1/X3=?

Abhinav Verma · Answer

x2 + 1/x2 = 83
x2 + 1/x2 - 2 = 81
(x - 1/x)2 = 92
x - 1/x = 9
Formula for (a - b)3 = a3 - b3
- 3ab(a - b)
93 = x3 -1/x3 - 3(9)
729 = x3 - 1/x3 - 27
x3 - 1/x3 = 729 + 27
x3 - 1/x3 = 756

X2+1/X2=83,find thevalue of X3-1/X3=?

X²+1/X²=83,find thevalue of X³-1/X³=?