Question

x+x^-1)(x^2+x^-2)^2(x^3+x^-3)^3 .... (x^11+x^-11)^11​

Answer 1

Answer:

(x + 3) : (x + 11) = (x - 2) : (x + 1) ∴ (x + 3)(x +1) = (x – 2)(x + 11)  ∴ x(x +1) + 3(x + 1) = x(x + 11) – 2(x + 11) ∴ x2 + x + 3x + 3 = x + x – 2x – 22  ∴ x2 + 4x + 3 = x2 + 9x – 22  ∴ 4x + 3 = 9x – 22  ∴ 3 + 22 = 9x – 4x  ∴ 25 = 5x  ∴ x = 5