Solve the following equations for x: A mathematical equation involving the sum of two inverse tangent functions equal to pi/4: tan⁻¹ ((x - 2) / (x - 1)) + tan⁻¹ ((x + 2) / (x + 1)) = π/4.

Q8 of 303 Page 4

Solve the following equations for x:

Given:-

Take

⇒

We know that, Formula

Thus,

⇒

We know that, Formula

⇒

On comparing we get,

⇒

⇒(2x+3)(x-2)= -(x-1)

⇒2x² – 4x + 3x – 6 = - x + 1

⇒2x² – x – 6 = - x + 1

⇒2x²= 7

⇒

Solve the following equations for x:

Prove that

prove that:

, where a= ax – by and β=ay+bx.