Question

if x²+1/x²=23,find the value of x³+1/x³​

Answer 1

Answer:

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Step-by-step explanation:

x2 + 1/x2 = 23

x2+ 1/x2 + 2= 25

(x+1/x)2 = 25

x+1/x = 5 --- (1)

(x+1/x)3 = 53

x3 + 1/x3 + 3(x+1/x) = 125

Put the value of (1)

x3 + 1/x3 + 3*5 = 125

x3 + 1/x3 = 125 - 15 = 110

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