General quadratic equation (a*x^2 + b*x + c = 0) solutions {quadratic irrational number} can have form a + b^0.5, where a and b are rational and b is not a perfect square. Ruler and compass constructions that do not result in rational numbers can most simply result in quadratic irrational lengths. Quadratic irrational numbers can be periodic continued fractions. For a = 0 and b = 14, 14^0.5 = 3 + (1 + (2 + (1 + (6 + (1 + (2 + (1 + (6 + (...)^-1)^-1)^-1)^-1)^-1)^-1)^-1)^-1)^-1. Solutions have form A + (B + (C + (D + (E + (B + (C + (D + (E + (...)^-1)^-1)^-1)^-1)^-1)^-1)^-1)^-1)^-1.
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Date Modified: 2022.0224