Question

if x-1/x=1 then x⁴-1/x²/3x²5x-3​

Answer 1

Answer:

given,

x + 1/x = 5

x² +1 = 5x

take square both sides ,

x⁴ + 1 + 2x² = 25x²

x⁴ + 1 = 23x²

(x⁴ + 3x³ + 5x² +3x +1)/(x⁴ + 1)

{x⁴ + 1 +3x(x²+1) +5x²}/(x⁴+1)

(x⁴ + 1 + 15x² +5x² )/(x⁴ + 1)

(23x² +20x²)/(23x²)

43x²/23x²

43/23

Step-by-step explanation:

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