Math, asked by geeta1163, 9 months ago

ifx^4+1÷x^4=194 then find x+1÷x

Answers

Answered by joeashish2
1

Answer:

The value of x + 1/x = 4

Step-by-step explanation:

The value of x^4 + 1/x^4 = 194.    

This can be written as,

(x^2 + 1/x^2)^2 - 2( x^2)(1/x^2) = 194.

Solving, we get, x^2 + 1/x^2 = 14.

This can be written as,

(x + 1/x)^2 - 2 = 14.

Solving, we get, x + 1/x = 4

HOPE THIS HELPS YOU...

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