Number of solutions of the equation arctan [1/(2x^2 + 1)] + arctan [1/(4x^2 + 1) = arctan 2/x^4 is
A)0
B)1
C)2
D)4
Hello, fardeen_gen!
Number of solutions of the equation: . is
. .
Let: . .[1]
. . Hence: . .[2]
Substitute [1] and we have: .
Take the tangent of both sides:
. .
. .
. .
Substitute [2]:
. .
Multiply by the LCD,
. .
This simpifies to: .
. . which factors: .
Then: .
There are two solutions . . . answer (C).