II. A method for determining the number of impossible roots in adfected æquations

Abstract

Lemma I. In every adfected quadratick Æquation a x ² - B x + A=0 , whose Roots are real, a fourth Part of the Square of the Coefficient of the second Term is greater than the Rectangle under the Coefficient of the first Term and the absolute Number or ¼ B ² > a × A ; and vice versa if ¼ B ² > a × A , the Roots of the Æquation a x ² - Bx + A = 0 , will be real.