Question

if x + 1/x = 5, then the value of (x^4 + 3x³ + 5x² + 3x + 1) / (x^4 + 1) is?

Answer 1

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

Answer 2

Answer:

(3x³+6)²+  ((5x²)/2-4)(  5/2x²+4)-(x-3/2)³

Step-by-step explanation: