Question

if x-1/x=4,then evaluate x2+1/x2and x41/x4

Answer 1

Answer:

Step-by-step explanation:

Hey !!!  

x - 1/x = 4 ---------------1)  

using this formule , (a -b )² = a² + b² - 2ab  

(x - 1/x )² = ( x²+ 1/x ² - 2x×1/x  

4² = x² + 1/x² - 2  

16+ 2 = x² + 1/x²  

18 = x² + 1/x² -------2)  

And , like that ... (a²)² + (b²)² = (a² + b²) -2a²b²  

(x²)²+ (1/x²)² = ( x² + 1/x²) - 2x² ×1/x²

x⁴ + 1/x⁴ = 18² - 2 ----(using 2 )  

x⁴ + 1/x⁴ = 324 - 2  

x⁴ + 1/x⁴ = 322 Answer !!  

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Hope it helps you !!!