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Problem If β + cos 2 α , β + sin 2 α \beta + \cos^2 \alpha, \beta + \sin^2 \alpha β + cos 2 α , β + sin 2 α x 2 + 2 B x + C = 0 x^2 + 2Bx + C = 0 x 2 + 2 B x + C = 0 γ + cos 4 α , γ + sin 4 α \gamma + \cos^4 \alpha, \gamma + \sin^4 \alpha γ + cos 4 α , γ + sin 4 α x 2 + 2 b x + c = 0 x^2 + 2bx + c = 0 x 2 + 2 b x + c = 0 b − B = c − C b - B = c - C b − B = c − C b 2 − B 2 = c − C b^2 - B^2 = c - C b 2 − B 2 = c − C b 2 − B 2 = 4 ( c − C ) b^2 - B^2 = 4(c - C) b 2 − B 2 = 4 ( c − C ) 4 ( b 2 − B 2 ) = c − C 4(b^2 - B^2) = c - C 4 ( b 2 − B 2 ) = c − C Browse the problem library