Question

If x+1\x²=√5 find first x²+1/x² and x⁴+1/x⁴

Answer 1

Answer:

x^4 + 1/x^4 = 4759.

Step-by-step explanation:

=> You can probably solve this by using the simple identity:

(a+b)^2 = a^2 + b^2 +2ab.

(x^2 + 1/x^2)^2 = x^4 + 1/x^4 + 2.x^2.1/x^2

=> (69)^2 = x^4 + 1/x^4 + 2

=> 4761 = x^4 + 1/x^4 + 2

=> 4761 - 2 = x^4 + 1/x^4

=> x^4 + 1/x^4 = 4759.

That's all

Answer 2

Answer:

Step-by-step explanation: