Solve the following equations for x: A mathematical equation to solve for x, involving inverse tangent functions: tan^(-1)(x+1) + tan^(-1)(x-1) = tan^(-1)(8/31).

Given:- TakeLHSWe know that, FormulaThus,⇒ ⇒ ⇒ ⇒ ⇒ 62x = 8 – 8x2+ 8⇒ 4x2 + 62x – 16 = 0⇒ 6x2 + 31x – 8 = 0⇒ 4x(x + 8) – 1(x + 8) = 0⇒ (4x – 1)(x + 8) = 0⇒ 6x + 1 = 0 or x – 1 = 0⇒ Since,So, is the root of the given equationTherefore,