Question

IF X + 1/X = 4, FIND X^4+1/X^4
PLEASE ANSWER IT ASAP AS YOU SEE IT ........... URGENT

Answer 1

x + 1/x = 4 → ( x + 1/x)2 = 16 → x2 + 1/x2 + 2 = 16 → x2 +1/x2 = 14

Now,

x2 + 1/x2 = 14 → ( x2 + 1/x2)2 = 196 → x4 + 1/x4+ 2 = 196 → x4 +1/x4 = 194.

Answer 2

Hey !

Here is your answer !!

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➡[ x + 1 / x ]^2 = x^2 + 1 / x^2 + 2

➡[ 4 ] ^2 = x^2 + x^2 + 2

➡x^2 + 1 / x^2 = 16 - 2 = 14

Now !

➡[x^2 + 1 / x^2 ]^2 = x^4 + 1 / x^4 + 2

➡[ 14]^2 - 2 = x^4 + 1 / x^4

➡x^4 + 1 / x^4 = 196 - 2 = 194

◾Hence your answer = 194⭐✔

Hope it helps !!✔✔
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