Question

if x-1/x=5 find x4+1/x4

Answer 1

Step-by-step explanation:

X+1/x = 5

(x+1/x)² = x²+1/x²+2

(5)² = x²+1/x²+2

25-2 = x²+1/x² => 23

(x²+1/x²)² = x⁴+1/x⁴+2

(23)² = x⁴+1/x⁴+2

529-2 = x⁴+1/x⁴

527 = x⁴+1/x⁴

hope this helps

Answer 2

Answer:

727

Step-by-step explanation:

x - 1/x = 5

=> (x - 1/x)^2 = 5^2

=> x^2 + 1/x^2 - 2 = 25

=> x^2 + 1/x^2 = 27

=> (x^2 + 1/x^2)^2 = 27^2

=> x^4 + 1/x^4 + 2 = 729

=> x^4 + 1/x^4 = 727

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