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If , then: Prove that . Hence, solve the equation .

Mathematics20264 marksShort answer
If $\tan^{-1} 2x + \tan^{-1} 3x = \frac{\pi}{4}$, then:
(a)[2.0]
Prove that $6x^2 + 5x - 1 = 0$.
(b)[2.0]
Hence, solve the equation $\tan^{-1} 2x + \tan^{-1} 3x = \frac{\pi}{4}$.

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Inverse Trigonometric Functions

From ISC 2026 Improvement Mathematics Paper 1, question 7(i).