Can the discriminant be used to detect self-intersections of curves?

The discriminant (B2-4AC) is used to determine which conic section will result. If the discriminant is less than zero we have a circle (if A = C) or an ellipse; where both square roots are to be considered when b2 − 4ac 6= 0,. (b) Use the result in part (a) to find the roots of the equation z2 + 2z + (1 − i) = 0. Jun 4, 2020 ... I wish I could use b^2-4ac>0 to check whether the people are real or not. Let gcd(a, b, c) = 1, D = b 2 - 4ac. Then as remarked in Mathews ([4, pages 132--133]), then there exist integers #, # such that a# 2 + b## + c# 2 = a ... (Algebra: solve quadratic equations) The two roots of a quadratic equation ax^2 + bx + c = 0 can be obtained using the following formula: b^2 - 4ac is ... b± b. 2 4ac. 2a. E= dV dx. F=q E. V = 1. 4. Q r. R. 2 =N a. 2 x. 2 =2 Dt c=6 R. = v R. 2. Simple Gini Index with Quadratic Pen's Parade. Consider a quadratic ... b2 – 4ac < 0. We are now able to compute the coefficient of variation of ... Jan 5, 2022 ... (-12+√(b^2-4ac))/2a. (where a = 1, b = 5, c = 3). How do I write a ... Δ = b^2 - 4ac; x = (-b ± √Δ)/2a. And the most important one, in ... ... b2 − 4ac > 0. If the discriminant is positive then the quadratic has two real ... 2 + b. • How many real solutions does x2 + bx + 1 = 0 have? Find the ... Page 1. E = mc. 2 x = -b 소. / b2 - 4ac. 2a e iπ. +1 = 0 e x. = с. ∑ k=0 x n. /n! ∫ tanx dx = -ln(cosx).