If , then…

MATHEMATICS · Single correct · AP · AP Precalculus · Trigonometric and Polar Functions · Trigonometric and Polar Functions

Problem

If arctan⁡x+arctan⁡2x=π4\arctan x+\arctan 2x=\dfrac{\pi}{4}, then xx equals (a) −17+34-\dfrac{\sqrt{17}+3}{4} (b) 12\dfrac{1}{2} (c) 17−34\dfrac{\sqrt{17}-3}{4} (d) 17−32\dfrac{\sqrt{17}-3}{2}

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