Question

x+1/x=5 then x^4+1/x^4=? ​

Answer 1

Answer:

x^4 + 1/x^4 = 195

Step-by-step explanation:

x + 1/x = 5

Square on LHS and RHS

(x + 1/x)^2 = 5^2

x^2 + 1/x^2 + 2(x + 1/x) = 25

x^2 + 1/x^2 + 2(5) = 25

x^2 + 1/x^2 + 10 = 25

x^2 + 1/x^2 = 15

Square on LHS and RHS

(x^2 + 1/x^2)^2 = 15^2

x^4 + 1/x^4 + 2(x^2 + 1/x^2) = 225

x^4 + 1/x^4 + 2(15) = 225

x^4 + 1/x^4 + 30 = 225

x^4 + 1/x^4 = 195

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