Math, asked by GodofDeath2002, 11 months ago

please answer it fastly​

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Answered by PRATHAMABD
2

Answer:

Given

x+\frac{1}{4}= 3

Squaring on both sides

x+\frac{1}{x}^2= 3^2

\impliesx^2 + 2 × x × \frac{1}{x} +(\frac{1}{x})^2 = 9

\impliesx^2 + 2 +\frac{1}{x^2} = 9

x^2 + \frac{1}{x^2}= 7

Again squaring both sides

( x^2 + \frac{1}{x^2} )^2 = 7^2

\implies (x^2)^2 + 2 × x^2 × \frac{1}{x^2} + (\frac{1}{x^2})^2 = 49

\impliesx^4 + 2 + \frac{1}{x^4} = 49

x^4+\frac{1}{x^4} = 47 Ans.

Answered by Anonymous
0

Answer:

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