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194 is your answer
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kanak1081:
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Hi !
Solution:- x + /x = 4 _____(1)
=>( x+ 1/x)² = 4²
=> x² + 1/x² + 2×x×/x = 16
=> x² + 1/x² = 14_________(2)
And, x⁴+ 1/x⁴ = (x²)²+(1/x²)²
we know that, a²+b² = (a+b)² -2ab
similarly , (x²+ 1/x² )²- 2*x²×1/x²
=> (14)² - 2 = 196 - 2 = 194
From equation (2)
hence, x⁴+ 1/x⁴ = 194 Answer ✔
__________________________
Hope it helps you !
@Raj❤
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