1.

Solve for x : tan-1 2x + tan-1 3x = π/4

Answer»

tan-1 2x + tan-1 3x = π/4

tan-1(2x + 3x)/(1 - 6x2) = π/4

tan-1 5x/(1 - 6x2) = 1

5x = 1 - 6x2

6x2 + 5x -1 = 0

6x2 + 6x - x - 1 = 0

(x + 1)(6x - 1) = 0

x = -1, x = 1/6



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