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Find conditions in the coefficients

• To: mathgroup at smc.vnet.net
• Subject: [mg124762] Find conditions in the coefficients
• From: Diego <xdiego.sg at gmail.com>
• Date: Sat, 4 Feb 2012 06:32:19 -0500 (EST)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

I have to find the conditions on p and q such that the equation
0==x^2+p x+q
has the roots Tan[a] and Tan[b], and a+b==Pi/3.