99,7 Tana and two roots of the equation AX ^ 2 + BX + C on Tan (π / 4-A) Two roots of the equation AX ^ 2 + BX + C on Tana and Tan (π / 4-A), then the relation of ABC

99,7 Tana and two roots of the equation AX ^ 2 + BX + C on Tan (π / 4-A) Two roots of the equation AX ^ 2 + BX + C on Tana and Tan (π / 4-A), then the relation of ABC


Because of the two roots of the equation AX ^ 2 + BX + C on Tana and Tan (π / 4-A), we know Tana + Tan (π / 4-A) = - B / atana * Tan (π / 4-A) = C / a by Weida's theorem, and then we know Tan (a + π / 4-A) = (Tana + Tan (π / 4-A)) / (1-tana * Tan (π / 4-A)) by the formula of two angles and tangent